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Publications

Numerical solution of two‐dimensional nonlinear Riesz space‐fractional reaction–advection–diffusion equation using fast compact implicit integration factor method

Journal

Journal NameJournal of Applied Mathematics and Mechanics

Title of PaperNumerical solution of two‐dimensional nonlinear Riesz space‐fractional reaction–advection–diffusion equation using fast compact implicit integration factor method

Publisher1521-4001

Volume Number103

Page Numbere202200334

Published YearOctober 2023

ISSN/ISBN No1521-4001

Indexed INScopus, Web of Science

Abstract

In the present article, a finite domain is considered to find the numerical solution of a two-dimensional nonlinear fractional-order partial differential equation (FPDE) with Riesz space fractional derivative (RSFD). Here two types of FPDE–RSFD are considered, the first one is a two-dimensional nonlinear Riesz space-fractional reaction–diffusion equation (RSFRDE) and the second one is a two-dimensional nonlinear Riesz space-fractional reaction-advection-diffusion equation (RSFRADE). SFRDE is obtained by simply replacing second-order derivative term of the standard nonlinear diffusion equation by the Riesz fractional derivative of order whereas the SFRADE is obtained by replacing the first-order and second-order space derivatives from the standard order advection–dispersion equation with the Riesz fractional derivatives of order . A numerical method is provided to deal with the RSFD with the weighted and shifted Grünwald–Letnikov (WSGD) approximations, for the spatial discretization. The SFRDE and SFRADE are transformed into a system of ordinary differential equations (ODEs), which have been solved using a fast compact implicit integration factor (FcIIF) with nonuniform time meshes. Finally, the demonstration of the validation and effectiveness of the numerical method is given by considering some existing models.

Study of fractional-order reaction-advection- diffusion equation using neural network method

Journal

Journal NameMathematics and Computers in Simulation

Title of PaperStudy of fractional-order reaction-advection- diffusion equation using neural network method

PublisherElsevier

Volume Number208

Page Number15-27

Published YearJune 2023

ISSN/ISBN No1872-7166

Indexed INScopus, Web of Science

Abstract

In the present article, a finite domain is considered to find the numerical solution of a two-dimensional nonlinear fractional-order partial differential equation (FPDE) with Riesz space fractional derivative (RSFD). Here two types of FPDE–RSFD are considered, the first one is a two-dimensional nonlinear Riesz space-fractional reaction–diffusion equation (RSFRDE) and the second one is a two-dimensional nonlinear Riesz space-fractional reaction-advection-diffusion equation (RSFRADE). SFRDE is obtained by simply replacing second-order derivative term of the standard nonlinear diffusion equation by the Riesz fractional derivative of order whereas the SFRADE is obtained by replacing the first-order and second-order space derivatives from the standard order advection–dispersion equation with the Riesz fractional derivatives of order . A numerical method is provided to deal with the RSFD with the weighted and shifted Grünwald–Letnikov (WSGD) approximations, for the spatial discretization. The SFRDE and SFRADE are transformed into a system of ordinary differential equations (ODEs), which have been solved using a fast compact implicit integration factor (FcIIF) with nonuniform time meshes. Finally, the demonstration of the validation and effectiveness of the numerical method is given by considering some existing models.

Solution of variable‐order partial integro‐ differential equation using Legendre wavelet approximation and operational matrices

Journal

Journal NameJournal of Applied Mathematics and Mechanics

Title of PaperSolution of variable‐order partial integro‐ differential equation using Legendre wavelet approximation and operational matrices

PublisherWiley

Volume Number103

Page Numbere202200222

Published YearFebruary 2023

ISSN/ISBN No1521-4001

Indexed INScopus, Web of Science

Abstract

This article is concerned with developing a method to find a numerical solution of a one‐dimensional variable‐order non‐linear partial integro‐differential equation (PIDE) viz., reaction–advection–diffusion equation with initial and boundary conditions. The proposed numerical scheme shifted Legendre collocation method is based on operational matrices. The operational matrices using one‐dimensional wavelets are derived to solve the said variable‐order model. First operational matrices have been introduced for integration and variable‐order derivatives using one‐dimensional Legendre wavelets (LWs). After that, using the shifted Legendre collocation points, the model is reduced to a system of algebraic equations, which are solved using Newton–Cotes method.

Solution of fractional-order reaction-advection- diffusion equation arising in porous media

Journal

Journal NameJournal of Porous Media

Title of PaperSolution of fractional-order reaction-advection- diffusion equation arising in porous media

PublisherWiley Begell House

Volume Number26

Page Number15-29

Published YearJanuary 2023

ISSN/ISBN No1934-0508

Indexed INScopus, Web of Science

Abstract

In this article, the fractional-order nonlinear reaction-advection-diffusion equation describing contaminant transport in groundwater has been solved using shifted Legendre collocation method. The shifted Legendre polynomial is used to approximate the function. After that the operational matrix for fractional-order derivative in Caputo sense is applied on it. The shifted Legendre collocation points are employed to obtain a system of nonlinear algebraic equations which have been solved using Newton method. The application of the said methodology is demonstrated by applying it to two standard cases. The proposed method is validated by comparing the numerical results with those obtained using exact solutions through error analyses and the results are given in graphical as well as tabular forms.

Study and analysis of nonlinear (2+1)-dimensional solute transport equation in porous media

Journal

Journal NameMathematics and Computers in Simulation

Title of PaperStudy and analysis of nonlinear (2+1)-dimensional solute transport equation in porous media

Volume Number192

Page Number491-500

Published YearFebruary 2022

ISSN/ISBN No0376-4754

Indexed INScopus, Web of Science

Study of one-dimensional space-time fractional-order Burgers-Fisher and Burgers-Huxley fluid models

Journal

Journal NameMathematical Methods in the Applied Sciences

Title of PaperStudy of one-dimensional space-time fractional-order Burgers-Fisher and Burgers-Huxley fluid models

Volume Number44

Page Number2455-2467

Published YearFebruary 2021

ISSN/ISBN No2455-2467

Indexed INScopus, Web of Science

Study and analysis of a two-dimensional non-conservative fractional order aerosol transport equation

Journal

Journal NameMathematical Methods in the Applied Sciences

Title of PaperStudy and analysis of a two-dimensional non-conservative fractional order aerosol transport equation

Volume Number42

Page Number2939-2948

Published YearJune 2019

ISSN/ISBN No1099-1476

Indexed INScopus, Web of Science

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Journal

Journal NameJournal of Computational and Nonlinear Dynamics-ASME

Title of PaperNumerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Volume Number14

Page Number041003-041009

Published YearApril 2019

ISSN/ISBN No1555-1423

Indexed INScopus, Web of Science

Study and analysis of spatial-time nonlinear fractional order reaction-advection diffusion equation

Journal

Journal NameJournal of Porous Media

Title of PaperStudy and analysis of spatial-time nonlinear fractional order reaction-advection diffusion equation

Volume Number22

Page Number787-798

Published YearJanuary 2019

ISSN/ISBN No1934-0508

Indexed INScopus, Web of Science

Numerical Solution of Fractional Order Advection-Reaction-Diffusion Equation

Journal

Journal NameSerbian Society of Heat Transfer Engineers

Title of PaperNumerical Solution of Fractional Order Advection-Reaction-Diffusion Equation

Volume Number22

Page NumberS309-S316

Published YearJanuary 2018

ISSN/ISBN No2334-7163

Indexed INScopus, Web of Science

Solution of a cancer treatment model of a drug targeting treatment through nanotechnology using Adomian decomposition Laplace transform method

Journal

Journal NameInteractions

Title of PaperSolution of a cancer treatment model of a drug targeting treatment through nanotechnology using Adomian decomposition Laplace transform method

PublisherSpringer International Publishing

Volume Number245(1)

Page Number1-18

Published YearDecember 2024

Indexed INScopus

Optimal control model for IVF treatment in women

Journal

Journal NameInternational Journal of Biomathematics

Title of PaperOptimal control model for IVF treatment in women

PublisherWorld Scientific Publishing Company

Page Number2450101

Published YearSeptember 2024

Indexed INScopus, Web of Science

Fractional-order rat bite fever model: a mathematical investigation into the transmission dynamics

Journal

Journal NameJournal of Applied Mathematics and Computing

Title of PaperFractional-order rat bite fever model: a mathematical investigation into the transmission dynamics

PublisherSpringer Berlin Heidelberg

Volume Number70(4)

Page Number3851-3878

Published YearAugust 2024

ISSN/ISBN No1865-2085

Indexed INScopus, Web of Science, EBSCO

Modeling and analysis of the fractional-order epidemic model to investigate mutual influence in HIV/HCV co-infection

Journal

Journal NameNonlinear Dynamics(Q1, IF-5.6)

Title of PaperModeling and analysis of the fractional-order epidemic model to investigate mutual influence in HIV/HCV co-infection

PublisherSpringer Netherlands

Volume Number112

Page Number11679–11710

Published YearMay 2024

Indexed INScopus, Web of Science

MATHEMATICAL MODEL FOR TEACHING DYNAMICS DURING COVID-19

Journal

Journal NameDCDIS Series B: Applications & Algorithms

Title of PaperMATHEMATICAL MODEL FOR TEACHING DYNAMICS DURING COVID-19

Publisherwatman press

Volume Number31(2b)

Page Number77-87

Published YearApril 2024

ISSN/ISBN No1492-8760

Indexed INScopus

Fractional mathematical model of Listeria infection caused by pre-cooked package food

Journal

Journal NameResults in Control and Optimization

Title of PaperFractional mathematical model of Listeria infection caused by pre-cooked package food

PublisherElsevier

Volume Number14

Page Number100371

Published YearMarch 2024

Indexed INScopus

Global Analysis of a Fractional‐Order Hepatitis B Virus Model Under Immune Response in the Presence of Cytokines

Journal

Journal NameAdvanced Theory and Simulations

Title of PaperGlobal Analysis of a Fractional‐Order Hepatitis B Virus Model Under Immune Response in the Presence of Cytokines

Page Number2400726

Published YearJanuary 2024

VERTICAL TRANSMISSION OF HIV-HBV CO-INFECTION WITH LIQUOR HABIT AND VACCINATION

Journal

Journal NameMALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES

Title of PaperVERTICAL TRANSMISSION OF HIV-HBV CO-INFECTION WITH LIQUOR HABIT AND VACCINATION

Volume Number16

Page Number1

Published YearApril 2021

ISSN/ISBN No1823-8343

Indexed INScopus, Web of Science, Indian citation Index

Abstract

In this paper, the transmission of HIV-HBV co-infection is carried out. The individuals who are infected with both diseases HIV and HBV simultaneously, are said to be HIV-HBV co-infected. These infected individuals have high risk of liver failure. It is the main cause for serious liver complications like cirrhosis and liver cancer at younger age. A deterministic model is considered with liquor habit in men and vaccination to new-borns and carrier mother. Carrier class results in the vertical transmission. In this paper, the transmission dynamics of the model is analyzed. The total population is divided in to twenty eight class viz. Susceptible, HBV Vaccinated, HBV-infected female, HBV-carrier female, HBV infected alcoholic male, HBV carrier alcoholic male, HBV infected non-alcoholic male, HBV carrier non-alcoholic male, HBV recovered class, pre-AIDS female, AIDS female, pre-AIDS-HBV co-infected female, AIDS-HBV co-infected female, pre-AIDS-HBV carrier female, AIDS-HBV carrier female, pre-AIDS alcoholic male, AIDS alcoholic male, pre-AIDS non-alcoholic male, AIDS non-alcoholic male, pre-AIDS-HBV co-infected alcoholic male, pre-AIDS-HBV co-infected non-alcoholic male, pre-AIDS-HBV carrier alcoholic male, pre-AIDS-HBV carrier non-alcoholic male, AIDS-HBV co-infected alcoholic male, AIDS-HBV co-infected non-alcoholic male, AIDS-HBV carrier non-alcoholic male, HIV infected -HBV recovered classes. The basic reproduction numbers for HIV, for HBV and for HIV-HBV are found using next generation matrix. Local and global stability of HIV-HBV disease free equilibrium is worked out. Model is validated with the numerical simulation.

TRANSMISSION DYNAMICS OF COVID-19 FROM ENVIRONMENT WITH RED ZONE, ORANGE ZONE, GREEN ZONE USING MATHEMATICAL MODELLING

Book Chapter

Book NameMATHEMATICAL ANALYSIS FOR TRANSMISSION OF COVID-19

Publisherspringer

Author NameBijal Yeolekar, Nita Shah

Page Number61-76

Chapter TitleTRANSMISSION DYNAMICS OF COVID-19 FROM ENVIRONMENT WITH RED ZONE, ORANGE ZONE, GREEN ZONE USING MATHEMATICAL MODELLING

Published YearMarch 2021

ISSN/ISBN No978-981-336-264-2

Indexed INScopus

Abstract

The novel corona virus or Covid-19 spread had its inception in November of 2019, and in March 2020, it was declared as a pandemic. Since its initial stage, it has now already infected over 5 million people, leading to the lockdown of countries around the world, and a halt on global as well as national travel across the globe. Based on this, the research proposes a mathematical Covid-19 model to study the outcome of these classified zones under different control strategies. In the nonlinear mathematical model, the total population has been divided into seven compartments, namely Susceptible, Exposed, Red zone, Orange zone, Green zone, Hospitalized, and Recovered. The spectral radius is calculated to analyze dynamics of the Covid-19. To control the spread of the virus, the parameters of controls are Medical Intervention, Partial Lockdown, and Strict Lockdown. This model has been validated with …

OPTIMAL CONTROL MODEL FOR BLINDNESS DUE TO DEFICIENCY OF VITAMIN-A

Journal

Journal NameDYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS SERIES B: APPLICATIONS & ALGORITHMS

Title of PaperOPTIMAL CONTROL MODEL FOR BLINDNESS DUE TO DEFICIENCY OF VITAMIN-A

Publisherwatman press

Volume Number28

Page Number4b

Published YearMarch 2021

ISSN/ISBN No1492-8760

Indexed INScopus, PubMed

STABILITY OF LIMIT CYCLES OF PASSIVE DYNAMIC KNEED BIPED

Journal

Journal NameSTRUCTURAL INTEGRITY AND LIFE

Title of PaperSTABILITY OF LIMIT CYCLES OF PASSIVE DYNAMIC KNEED BIPED

PublisherDIVK

Volume Number20

Page Numbersp11-sp17

Published YearNovember 2020

ISSN/ISBN NoPrint ISSN 0973-6107 Online ISSN 0974-4738

Indexed INScopus, Web of Science

MATHEMATICAL MODEL TO ANALYZE EFFECT OF DEMONETIZATION

Book Chapter

Book NameMATHEMATICAL MODELS OF INFECTIOUS DISEASES AND SOCIAL ISSUES

PublisherIGI GLOBAL

Author NameN H Shah, Bijal Yeolekar, Z A patel

Page Number270-286

Chapter TitleMATHEMATICAL MODEL TO ANALYZE EFFECT OF DEMONETIZATION

Published YearApril 2020

ISSN/ISBN No9781799837411

Indexed INScopus

Abstract

Demonetization is a fundamental regulatory act of stripping in which a currency unit's status as an exchange is professed worthless. Generally, it is done whenever there is a change of national currency, often to be replaced of the old notes or coins with a new one. Sometimes, a country totally replaces the old currency with new currency. For example, in India recently the government demonetized RS. 500 and 1000 notes. So, one has to deposit their cash within limited time in the banks. The demonetization affects individuals mildly or potentially, which in turn affects banking sector. So, SMPB-model is proposed and analyzed for demonetization. The SMP-model is formulated with the system of nonlinear differential equations. The effect of demonetization is studied by calculating threshold using next generation matrix. The local and global stability for demonetization free equilibrium and demonetization equilibrium is …

GLOBAL ANALYSIS OF ELECTRONIC ITEMS WITH RE-MANUFACTURING TO CONTROL E-WASTE

Journal

Journal NameINTERNATIONAL JOURNAL OF ENVIRONMENT AND WASTE MANAGEMENT

Title of PaperGLOBAL ANALYSIS OF ELECTRONIC ITEMS WITH RE-MANUFACTURING TO CONTROL E-WASTE

PublisherInderscience Publishers (IEL)

Volume Number24

Page Number3

Published YearOctober 2019

Indexed INScopus, Web of Science

Abstract

E-waste is electronic items that have become useless or have reached to the end of their life-span. The maximum e-waste is produced by electronic industry in comparison to vendor and customer. E-waste contains many harmful chemicals which can be absorbed by humans and landfills and floats in the environment. The best solution to control e-waste is re-manufacturing. Re-manufacturing preserves natural resources, saves landfills, reduces greenhouse gas emissions and consequently controls pollution. It also consumes fewer inventories so that it pays less cost. To investigate this e-waste problem and advocating re-manufacturing, we have developed a mathematical model of three compartments viz. manufacturing unit, vendor and customer comprising of re-manufacturing at player's ends. To examine the stability of e-waste model, the local and global stability is considered. Threshold and numerical simulation …

VERTICAL DYNAMICS OF EBOLA WITH MEDIA IMPACT

Journal

Journal NameJOURNAL OF KING SAUD UNIVERSITY-SCIENCE

Title of PaperVERTICAL DYNAMICS OF EBOLA WITH MEDIA IMPACT

PublisherElsevier

Volume Number31

Page Number567-574

Published YearOctober 2019

ISSN/ISBN No1018-3647

Indexed INScopus, Web of Science

Abstract

The Ebola virus disease (EVD) is one of the deadly diseases amongst human and non-human primates caused by most virulent pathogens Ebola virus. Socio-economic impacts of Ebola is very high. In 2014, the latest and largest major outbreak occurred in West African countries Guinea, Sierra Leone, and Liberia. During the outbreak, cases were reported about presence of Ebola virus in semen and breast milk of individuals after recovery. Vertical transmission of disease spread and its impacts on population are studied in this research. How effectively early diagnosis, isolation, awareness campaigns break the chain of infectious cases and control disease spread is studied. Mathematical model for vertical transmission of Ebola with media effect is developed using seven compartments namely susceptible, exposed, infectious, Hospitalised/Isolated, Convalescent, Dead (not properly buried dead bodies of Ebola …

Stability of ‘GO-CLEAN’Model Through Graphs

Journal

Journal NameJournal of Computer and Mathematical Sciences

Title of PaperStability of ‘GO-CLEAN’Model Through Graphs

PublisherJournal of Computer and Mathematical Sciences

Volume Number9(2)

Page Number79-93

Published YearSeptember 2018

ISSN/ISBN No0976 - 5727

Indexed INUGC List

Abstract

Cleanliness is the habit of keeping the dirt away, to maintain the good health and make environment hygiene. In simple words, cleanliness is very important factor in our life from all the aspects to keep society healthy. The aim of this study is to motivate the drives of cleanliness in India. However, some individuals do no support these kinds of drives which makes them passive cleaners. Therefore, we have formulated the system of non-linear differential equations to study passive cleaners turning into active ones. The stability is derived to understand the behaviour of potential cleaners through weighted graph having only two cycles. The model is validated by numerical simulation.

Epidemics Of Corruption Using Incidence Function

Journal

Journal NameEconomic Computation & Economic Cybernetics Studies & Research

Title of PaperEpidemics Of Corruption Using Incidence Function

Volume Number51(2)

Page Number165-180

Published YearJanuary 2018

ISSN/ISBN No0424-267X

Indexed INEBSCO, UGC List

Abstract

Corruption is a slow poison damaging individuals and consequently society and nation. This is a global issue. Any individual can be exposed to the corruption. Slowly and steadily, an individual turns out to be most corrupted. In this study, an attempt is made to formulate the dynamics of corruption. The non-linear system of differential equations constructed for different compartments viz. Susceptible, Exposed, Infected and Punished. The punishment in terms of transfers from one place to another is defined in exposed and infected classes. These transfers lead the vertical transmission in both the classes. The threshold in terms of reproduction number is computed to make society corruption free. The local and global stability is analyzed. The proposed model is supported by numerical simulation. The observations and suggestions are outlined to have corruption free society or reduced corruption.

Congenital Transmission of Chagas with Control Dropouts and Spraying

Journal

Journal NameInternational Journal of Applied and Computational Mathematics

Title of PaperCongenital Transmission of Chagas with Control Dropouts and Spraying

PublisherSpringer India

Volume Number3 (1)

Page Number185-201

Published YearDecember 2017

ISSN/ISBN No2349-5103

Indexed INScopus

Abstract

Vector-borne diseases are the leading causes of death amongst all disease. They remain as highest risk for lives of millions of people in many countries of the world. Scientific and economic impacts of vector-borne disease are significant. Chagas is one of the vector-borne diseases found in Latin American countries with its large impact. Studies indicate that vector control is the most convergent way to control vector-borne diseases. To control vectors, spraying insecticide is the easiest and safest way, but sometimes it is cost worthy for long period of spraying. Also, for most of the Vector-borne diseases treatments are available, but because of unawareness they spread at high frequency. People may start to opt the treatment but the side effects or cost of treatment, force them to left treatment in between and that create larger dropouts. Vertical transmission of disease also plays vital role in spreading disease as …

Threshold for vaccination in measles and its vertical transmission

Journal

Journal NameInternational Journal of Dynamical Systems and Differential Equations

Title of PaperThreshold for vaccination in measles and its vertical transmission

PublisherInderscience Publishers (IEL)

Volume Number7 (2)

Page Number157-168

Published YearJune 2017

ISSN/ISBN No1752-3583

Indexed INScopus, UGC List

Abstract

This study analyses measles transmission vertically with vaccination failure and delay of vaccination. The effect of infected newborns as a time delay is analysed. Time delay is considered as a loss of maternal immunity amongst newborns. The system of non-linear differential equations for the proposed problem is formulated. The next generation matrix method is used to find the reproduction number, and to obtain the stability of the infection free as well as the endemic equilibrium. Effect of time delay in vaccination has been studied for disease-free equilibrium. The local and global stability of the system is analysed. Sensitivity of the key parameters is measured using numerical simulation and observed that it supports the analytical results.

Mathematical Model for Hereditary Transmission of Culture

Journal

Journal NameInternational Journal of Computer Applications

Title of PaperMathematical Model for Hereditary Transmission of Culture

Volume Number975

Published YearMarch 2017

ISSN/ISBN No 0975 - 8887

Indexed INEBSCO, UGC List

Abstract

Culture is the complex set of knowledge, beliefs, art, morals, customs and many more habits acquired by a human being a part of society or from hereditary. It defines the quality in a person. It is based on nurturing mind by education or training. In this paper, a mathematical model of a culture which gets transmitted directly from one generation to another also called vertical transmission as well as among the generation through concepts with society is formulated. Local and global stability is established and inheritance of the culture is discussed.

An efficient technique for solving fractional-order diffusion equations arising in oil pollution

Journal

Journal NameJournal of Ocean Engineering and Science

Title of PaperAn efficient technique for solving fractional-order diffusion equations arising in oil pollution

PublisherScience Direct

Volume Number8

Page Number217-225

Published YearJune 2023

ISSN/ISBN No2468-0133

Indexed INScopus

Abstract

In this article, non-linear time-fractional diffusion equations are considered to describe oil pollution in the water. The latest technique, fractional reduced differential transform method (FRDTM), is used to acquire approximate solutions of the time fractional-order diffusion equation and two cases of Allen–Cahn equations. The acquired results are collated with the exact solutions and other results from literature for integer-order , which reveal that the proposed method is effective. Hence, FRDTM can be employed to obtain solutions for different types of nonlinear fractional-order IVPs arising in engineering and science.

Molecular cancer classification on microarrays gene expression data using wavelet-based deep convolutional neural network

Journal

Journal NameInternational Journal of Imaging Systems and Technology

Title of PaperMolecular cancer classification on microarrays gene expression data using wavelet-based deep convolutional neural network

PublisherWiley Publication

Published YearJune 2022

ISSN/ISBN No1098-1098

Indexed INScopus, Web of Science

Abstract

Microarray data analysis is a most promising and difficult process due to the complex nature of data. It includes higher dimensionality, several unbalanced classes, a smaller sample size, the presence of noise, and a higher variation of feature values. This has resulted in a decrease in classification accuracy as well as an overfitting problem. This work proposed an efficient and hybrid deep learning technique for molecular cancer classification using expression data to solve these limitations. The different steps in the proposed work are preprocessing, clustering, extraction, selection, and classification. The input data is preprocessed using a scalable range adaptive bilateral filter. Then clustering is done with the help of an improved binomial clustering approach. After that, the data is extracted with the help of the multifractal Brownian motion method. Then the important features are selected with the help of an improved cuckoo search optimization algorithm. Finally, the data classification is performed using a wavelet-based deep convolutional neural network. This work is validated with the help of five publically available datasets using the PYTHON platform. The different performance measures considered here are accuracy, precision, recall, and F-measure. The classification accuracy obtained is 98.36%, 98.12%, 98.55%, 97.70%, and 95.30% for ovarian, breast, colon, leukemia, and prostate cancer datasets. The overall result showed that the suggested technique is better than the existing methods.

Influence of foaming agents on mechanical and microstructure characterization of AA6061 metal foams

Journal

Journal Name"Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering"

Title of PaperInfluence of foaming agents on mechanical and microstructure characterization of AA6061 metal foams

PublisherSage Journals

Volume Number228

Published YearMay 2022

ISSN/ISBN No2041-3009

Indexed INScopus, Web of Science

Abstract

Aluminium metal foams offer low density (∼10–15% of bulk material) possessing cellular structure that ensures unique features with high stiffens, better energy absorption, thermal and acoustic properties. Selection of different foaming agents for preparing AA6061 foam samples are indeed an industrial relevance for better control over porosity and its dimensions, strengths (tensile, flexural and compression) useful for distinguished applications. Three foaming agents such as wax powder, magnesium hydroxide, and titanium hydride are selected with varying 3–9 weight percentage to prepare metal foams viz. powder metallurgy technique. For the prepared foam samples the percentage porosity, pore dimensions (maximum pore size, and equivalent diameter) and strengths were examined. Wax powder foaming agent resulted with a maximum strength in foam samples compared to magnesium hydroxide and titanium hydride. Scanning electron microscope with energy dispersive spectroscopy analysis revealed that there is no evidence of foreign elements and confirm uniform distribution of porosity in the foam samples.

PCA + LDA Fuzzy Based Model for Emotional Nature Recognition of Human Video

Journal

Journal NameInternational Journal of Recent Technology and Engineering

Title of Paper PCA + LDA Fuzzy Based Model for Emotional Nature Recognition of Human Video

PublisherBlue Eyes Intelligence Engineering & Sciences Publication

Volume Number8

Page Number242 - 246

Published YearSeptember 2019

ISSN/ISBN No2277-3878

Indexed INScopus

Abstract

Human expresses their emotions by means of verbal and nonverbal communication. Nonverbal communications are done mainly using facial expression. This paper aims to recognize human emotion using nonverbal communication of human facial expressions. Different mathematical techniques like: principle component analysis (PCA), linear discriminate analysis (LDA) and independent component analysis (ICA) are widely used for human facial expression recognition. This paper applied fusion of PCA and LDA based model for facial video emotion recognition with neural network (NN), fuzzy approach and Ekman’s proposed concept of action units of faces. Moreover, results obtained in linguistic form using action units with fuzzy approach on unknown individual persons for identification of nature of input video and compare with the actual data to validate the model. This paper concludes that developed approach provides 99% accuracy for human facial expression recognition and identification of nature of input video.

Recent trends in bio-materials and advances in design of spinal fusion implants

Journal

Journal NameAdvances in Materials and Processing Technologies

Title of PaperRecent trends in bio-materials and advances in design of spinal fusion implants

PublisherTaylor and Francis

Volume Number8

Page Number2122-2141

Published YearFebruary 2022`

ISSN/ISBN No2374-0698

Indexed INScopus

Abstract

Metals, ceramics and polymers are the three broad categories of bio-materials utilised in spinal fusion devices. A bio-material with good tensile strength, bio-compatible, minimal imaging artefacts, stiffness, young’s modulus near the bone and fatigue strength is suitable for a spinal fusion implant. Unfortunately, no material excels all desirable properties, such as high strength, similar elastic modulus to bone and excellent host tissue response. As a result, the materials used for such types of implants are identified by the unique criteria that are most significant and necessary for the implants specific applications. This may result in various components of a single implant being made of multi-materials to better fit its intended purpose. In fusion surgeries, implants and its fixation methods have advanced significantly to meet the demands of surgeons, who continue to increase their understanding of the bio-mechanical principles of spinal stability and help improve the production of novel implant design. The review focused on recent advancements and trends in the design of fusion devices and the use of bio-materials in their component assemblies. This review will help researchers to enhance and optimise the design and material properties for future spine implantology research.

Optimal ordering policies for stock-dependent demand under partial linked-to-order credit period

Journal

Journal NameInternational Journal of operational research

Title of PaperOptimal ordering policies for stock-dependent demand under partial linked-to-order credit period

Volume Number51

Page Number324-348

Published YearOctober 2024

Indexed INScopus

Greening efforts and deteriorating inventory policies for price-sensitive stock-dependent demand

Journal

Journal NameInternational Journal of Systems Science: Operations & Logistics

Title of PaperGreening efforts and deteriorating inventory policies for price-sensitive stock-dependent demand

Volume Number10(1)

Published YearJanuary 2023

Indexed INScopus

Investigation of Carbon Emissions due to COVID19 Vaccine Inventory

Journal

Journal NameInternational Journal of System Assurance Engineering and Management

Title of PaperInvestigation of Carbon Emissions due to COVID19 Vaccine Inventory

Volume Number13(1)

Page Number409-420

Published YearJanuary 2022

ISSN/ISBN No0975-6809

Indexed INScopus, Web of Science

EPQ model to price- sensitive stock dependent demand with Carbon Emission under green and Preservation Technology Investment

Journal

Journal NameEconomic Computation & Economic Cybernetics Studies & Research

Title of PaperEPQ model to price- sensitive stock dependent demand with Carbon Emission under green and Preservation Technology Investment

Volume Number56(1)

Page Number209-222

Published YearJanuary 2022

ISSN/ISBN No1842-3264

Indexed INScopus, Web of Science

Vendor-Buyer Pollution Sensitive Inventory System for Deteriorating Items

Journal

Journal NameProcess Integration and Optimization for Sustainability

Title of PaperVendor-Buyer Pollution Sensitive Inventory System for Deteriorating Items

Volume Number6

Page Number285-293

Published YearJanuary 2022

ISSN/ISBN No2509-4238

Indexed INScopus

Investigation of Carbon Emissions due to COVID-19 Vaccine Inventory

Journal

Journal NameInternational Journal of System Assurance Engineering and Management

Title of PaperInvestigation of Carbon Emissions due to COVID-19 Vaccine Inventory

Volume Number13

Page Number409-420

Published YearJanuary 2022

ISSN/ISBN No0975-6809

Indexed INScopus, Web of Science

EPQ Model to Price-Sensitive Stock-Dependent Demand with Carbon Emission under Green and Preservation Technology Investment

Journal

Journal NameEconomic Computation & Economic Cybernetics Studies & Research

Title of PaperEPQ Model to Price-Sensitive Stock-Dependent Demand with Carbon Emission under Green and Preservation Technology Investment

Volume Number56

Page Number209-222

Published YearJanuary 2022

ISSN/ISBN No1842-3264

Indexed INScopus, Others

Inventory and preservation investment for deteriorating inventory system with stock-dependent demand and partial backlogged shortages

Journal

Journal NameYugoslav Journal of Operations Research

Title of PaperInventory and preservation investment for deteriorating inventory system with stock-dependent demand and partial backlogged shortages

Volume Number31(2)

Page Number181-192

Published YearJanuary 2020

Indexed INScopus

Optimal ordering policies under conditional trade- credit for retailer

Journal

Journal NameInvestig. Operacional

Title of PaperOptimal ordering policies under conditional trade- credit for retailer

Volume Number41(7)

Page Number970-978

Published YearJanuary 20202

ISSN/ISBN No0257-4306

Indexed INScopus

A Study on Mixed Variational-like Inequality Under Generalized Quasimonotonicity in Banach Spaces

Journal

Journal NameMathematics

Title of PaperA Study on Mixed Variational-like Inequality Under Generalized Quasimonotonicity in Banach Spaces

PublisherMDPI

Volume Number13

Published YearJanuary 2025

ISSN/ISBN No2227-7390

Indexed INScopus, Web of Science

Coercive and Noncoercive Mixed Generalized Complementarity Problems

Journal

Journal NameAxioms

Title of Paper Coercive and Noncoercive Mixed Generalized Complementarity Problems

Volume Number13

Page Number328-347

Published YearJanuary 2024

Indexed INScopus

A study on vector variational like inequalities using convexificators and application to its bi-level form

Journal

Journal Name Journal of Industrial and Management Optimization

Title of PaperA study on vector variational like inequalities using convexificators and application to its bi-level form

PublisherAmerican Institute of Mathematical Sciences

Volume Number18

Page Number4333-4350

Published YearJanuary 2022

Indexed INScopus, ABDC

Densely Relaxed Pseudomonotone and Quasimonotone Generalized Variational like Inequalities

Journal

Journal NameOptimization

Title of PaperDensely Relaxed Pseudomonotone and Quasimonotone Generalized Variational like Inequalities

PublisherTaylor & Francis Online

Volume Number70

Page Number413-435

Published YearJanuary 2021

Indexed INScopus, ABDC

Existence and iterative approximation method for solving mixed equilibrium problem under generalized monotonicity in Banach spaces

Journal

Journal NameNumerical Algebra, Control and Optimization

Title of PaperExistence and iterative approximation method for solving mixed equilibrium problem under generalized monotonicity in Banach spaces

Volume Number10

Page Number75-92

Published YearJanuary 2020

Indexed INScopus

Generalized monotone mixed equilibrium problems in FC spaces: Existence and approximation

Journal

Journal NameJournal of Applied and Numerical Optimization

Title of PaperGeneralized monotone mixed equilibrium problems in FC spaces: Existence and approximation

Volume Number1

Page Number183-199

Published YearJanuary 2019

Indexed INScopus

Solution of a class of equilibrium problems and variational inequalities in FC spaces

Journal

Journal NameAnnals of Operations Research

Title of PaperSolution of a class of equilibrium problems and variational inequalities in FC spaces

PublisherSpringer International Publishing

Volume Number269

Page Number565-582

Published YearJanuary 2018

Indexed INScopus, ABDC

Error analysis for a class of Nonlinear Quasi Variational Inequalities

Journal

Journal NameJournal of Dynamics of Continuous, Discrete and Impulsive Systems-A

Title of PaperError analysis for a class of Nonlinear Quasi Variational Inequalities

Volume Number24

Page Number147-157

Published YearJanuary 2017

Indexed INScopus

On Mixed Equilibrium Problems in Banach Spaces

Journal

Journal NamePanAmerican Mathematical Journal

Title of PaperOn Mixed Equilibrium Problems in Banach Spaces

Volume Number26

Page Number12-24

Published YearJanuary 2016

Indexed INScopus

A Class of Mixed Variational like Inequalities and Equilibrium Problems in Banach Spaces

Journal

Journal NameJournal of Inequalities and Special Functions

Title of PaperA Class of Mixed Variational like Inequalities and Equilibrium Problems in Banach Spaces

Volume Number7

Page Number241-252

Published YearJanuary 2016

Indexed INScopus

A one-dimensional finite element model to study the effect of advection on calcium dynamic in Cardiac Myocyte Cell

Journal

Journal NameNirma University Journal of Engineering and Technology

Title of PaperA one-dimensional finite element model to study the effect of advection on calcium dynamic in Cardiac Myocyte Cell

PublisherNirma University

Volume Number1

Page Number8-13

Published YearApril 2024

ISSN/ISBN No2231-2870

Indexed INOthers

Abstract

Cardiac myocytes cells which are present in the heart are responsible for the expansion and contraction of the heart. Specific calcium dynamics lead to the smooth functioning of the heart, which is still not understood clearly. Hence, a one-dimensional finite element model is proposed in this paper to study the effect of advection on calcium dynamics. In this model, different processes such as buffering, the reaction of calcium with buffers, diffusion of calcium ions, advection and source influx are considered to study individual and coordinated effects of advection on calcium dynamics. Significant boundary conditions and initial conditions based on the biophysical properties of the region have been proposed. A program has been developed in MATLAB for the entire problem and simulated to compute the numerical results. The individual and coordinated effects of advection, buffering, diffusion on calcium and source influx on calcium dynamics in cardiac myocytes cells are studied.

Two Dimensional Finite Element Simulation of Calcium Diffusion in Cardiac Myocytes Involving Pump, Leak and Excess Buffers

Journal

Journal NameAdvances in Computational Sciences and Technology

Title of PaperTwo Dimensional Finite Element Simulation of Calcium Diffusion in Cardiac Myocytes Involving Pump, Leak and Excess Buffers

PublisherResearch India Publications

Volume Number11

Page Number85-104

Published YearJanuary 2018

ISSN/ISBN No 0973-6107

Abstract

The expansion and contraction of myocytes is responsible for pumping of the blood in heart required for circulation of blood in the blood vessels in human body. This expansion and contraction of myocytes depends on calcium signaling in myocytes which is achieved by diffusion of calcium, out flux of calcium through pump, influx of calcium through leak and buffering mechanism in the cardiac myocytes. Here a two dimensional finite element simulation of calcium regulation mechanism in cardiac myocytes is developed. Various processes like calcium diffusion, influx due to leak, out flux due to pump and excess buffer concentration are incorporated here. Boundary conditions have been framed according to physiology of the cell. The coaxial circular elements have been used to solve reaction diffusion equation using finite element method. The numerical results have been used to understand the effect of excess buffers, pump and leak on calcium distribution in myocytes.

Finite element simulation of advection diffusion of calcium in myocytes involving influx and excess buffer

Journal

Journal NameAdvances in Computational Sciences and Technology

Title of PaperFinite element simulation of advection diffusion of calcium in myocytes involving influx and excess buffer

PublisherResearch India Publications

Volume Number10

Page Number11-23

Published YearJanuary 2017

ISSN/ISBN No0974-4738

Indexed INOthers

Abstract

Expansion and contraction of myocyte cells present in heart is responsible for pumping of blood in order to achieve circulation of blood to different parts of the body. The regulation of calcium concentration at different levels in the myocyte cells is required for expansion and contraction of myocytes. The mechanism of calcium regulation in myocytes is still not well understood. In this paper a finite element model is proposed to study the calcium regulation in circular shaped myocytes for a one dimensional steady state case. The processes like advection, diffusion, excess buffer and source influx are incorporated in the model. Appropriate boundary conditions have been proposed based on biophysical properties of region. Numerical simulation have been preformed to study the individual as well as coordinated effects of buffers, source influx, advection and diffusion on calcium distribution in myocytes.

Finite element model to study two dimensional unsteady state calcium distriution in cardiac myocytes

Journal

Journal NameAlexandria Journal of Medicine

Title of PaperFinite element model to study two dimensional unsteady state calcium distriution in cardiac myocytes

PublisherELSEVIER

Volume Number52

Page Number261-268

Published YearSeptember 2016

ISSN/ISBN No2090-5068

Indexed INIndian citation Index, UGC List

Abstract

The calcium signaling plays a crucial role in expansion and contraction of cardiac myocytes. This calcium signaling is achieved by calcium diffusion, buffering mechanisms and influx in cardiac myocytes. The various calcium distribution patterns required for achieving calcium signaling in myocytes are still not well understood. In this paper an attempt has been made to develop a model of calcium di

Finite Element Model to Study Calcium Singalling in cardiac myocytes involving pump, leak and excess buffer.

Journal

Journal NameJournal of Medical Imaging and Health Informatics

Title of PaperFinite Element Model to Study Calcium Singalling in cardiac myocytes involving pump, leak and excess buffer.

PublisherAmerican Scientific Publication

Volume Number5

Page Number1-6

Published YearAugust 2015

ISSN/ISBN No2156-7026

Indexed INScopus, UGC List

Abstract

The calcium signaling plays an important role in expansion and contraction of myocytes. This calcium signaling is achieved by diffusion of calcium, out flux of calcium through pumps, in flow of calcium through leak and buffering mechanisms in cardiac myocytes. In this paper an attempt has been made to develop a model of calcium signaling in myocytes incorporating diffusion of calcium, pump, leak and

Finite Element model to study one dimensional calcium dynamics in cardiac myocytes

Journal

Journal NameJournal of Multiscale Modeling

Title of PaperFinite Element model to study one dimensional calcium dynamics in cardiac myocytes

PublisherImperial College Press

Volume Number6

Page Number1-12

Published YearJuly 2015

ISSN/ISBN No1756-9745

Indexed INEBSCO

Abstract

The multi physical process involving calcium ions regulate expansion and contraction of cardiac myocytes. This mechanism of expansion and contraction of cardiac myocytes is responsible for contraction and expansion of heart for pumping of blood into arteries and receiving blood into heart from vein. Thus calcium dynamics in cardiac myocytes is responsible for the activities of the myocytes cells a

Two dimensional coaxial circular elements in finite element method to study calcium diffusion in cardiac myocytes

Conference

Title of PaperTwo dimensional coaxial circular elements in finite element method to study calcium diffusion in cardiac myocytes

Proceeding NameNirma University International Conference on Engineering

PublisherIEEE

OrganizationNirma University

Year , VenueNovember 2013 , Nirma University, Ahmedabad

Page Number1-6

ISSN/ISBN No2375-1282

Indexed INScopus, Web of Science

Abstract

The calcium signaling plays an important role in expansion and contraction of Myocytes. This calcium signaling is achieved by diffusion of calcium and buffering mechanisms in cardiac myocytes. In this paper an attempt has been made to develop model calcium signaling in myocytes incorporating diffusion of calcium and excess buffers. The model has been developed for a two dimensional steady state ca

The anthelmintic impact of Nyctanthes arbor-tristis (an antiallergic plant) leaves on Caenorhabditis elegans

Book Chapter

Book NameBiotechnology of Medicinal Plants with Antiallergy Properties

PublisherSpringer Nature (Springer Nature Singapore Pte Ltd.).

Author NameMotilal Panigrahi2 Surabhi Usturge1, Jitendriya Panigrahi1

Page Number235-250

Chapter TitleThe anthelmintic impact of Nyctanthes arbor-tristis (an antiallergic plant) leaves on Caenorhabditis elegans

Published YearMay 2024

ISSN/ISBN No978-981-97-1466-7

Indexed INScopus

Abstract

Nyctanthes arbor-tristis (NAT), commonly known as the “Coral Jasmine” or “Parijat” plant, is renowned in traditional medicine systems, such as Ayurveda and traditional Indian medicine, for its potential antiallergic properties. NAT is believed to possess anti-inflammatory properties, which could potentially help alleviate allergic reactions. Allergies often involve an inflammatory response triggered by the immune system. So, compounds with anti-inflammatory effects might help reduce the severity of allergic symptoms. Anthelmintic substances can affect the immune system, often by modulating immune responses to parasitic infections. By regulating immune function, anthelmintic properties could potentially help in reducing the overall hypersensitivity and exaggerated immune reactions that characterize allergies. Anthelmintics now used to treat disorders brought on by parasitic worms have unpleasant side effects like headaches, nausea, diarrhea, and lack of appetite. These factors made it necessary to look for natural anthelmintics. Due to its medicinal properties, the leaf extract of NAT is tested for antibacterial, antioxidant, and phytochemical activities. Further, the anthelmintic action of NAT ethyl acetate leaf extract, if any, is also tested on Caenorhabditis elegans (CES), which are non-parasitic but mimic the Order of parasitic worms and are easy to get and employ for “in vitro testing”. The above leaf extract at a concentration of 1.5% revealed decreased egg hatching rates and larval movement, indicating that NAT has an anthelmintic effect on CES. Alkaloids, amino acids, carbohydrates, cardiac glycosides, flavonoids, and phenolics were detected in the phytochemical test results. NAT leaf extract's antibacterial activity effectively inhibited Gram-positive and Gram-negative bacteria. Some parasitic infections can trigger immune responses that cross-react with allergens, potentially exacerbating allergies. Anthelmintic treatments could indirectly reduce such cross-reactivity by controlling the parasitic infection, leading to a decrease in the overall allergic response, and might be introduced as a potent drug as a natural anthelmintic after identifying its impact on parasitic worms.

Composite effects of gibberellic acid and kinetin on the postharvest-life of Solanum melongena L.

Journal

Journal NameEgyptian Journal of Agricultural Research

Title of PaperComposite effects of gibberellic acid and kinetin on the postharvest-life of Solanum melongena L.

PublisherMinistry of Agriculture and Land Reclamation. Agricultural Research Center (ARC)

Volume NumberVol.101(1)

Page Number35-44

Published YearMarch 2023

ISSN/ISBN No1110-6336

Indexed INWeb of Science

Abstract

To reduce the qualitative loss and prolong the shelf-life of brinjal (Solanum melongena L), the application of an exogenous coating of gibberellic acid and kinetin separately and also multiple combinations of GA and KN (10 µM plus 10 µM, 20 µM plus 20 µM, and 30 µM plus 30 µM) were tested for a storage period of 14 days. The uncoated brinjal could sustain about 7 days and deteriorate early whereas the coated brinjal now has a successful storage period of 14 days. During the storage, it was observed a gradual decrement in titratable acidity, protein content, catalase, and peroxidase activity; whereas a gradual increment in proline content and DPPH radical scavenging activity. Among these three combinations, the combination of 10 µM GA plus 10 µM KN preserved the qualitative attributes and was effective in delaying the senescence process. The mathematical model and principal component analysis also justified the results of the present study. This study influences a better method to meet market and customer expectations for volume, quality, and other product and transaction attributes like nutrition, food security, and product safety.

Effect of calcium chloride and gallic acid combination on the extension of postharvest life of Lagenaria siceraria, a vegetable with medicinal importance

Journal

Journal NameMedicinal Plants Indian Journals.com

Title of PaperEffect of calcium chloride and gallic acid combination on the extension of postharvest life of Lagenaria siceraria, a vegetable with medicinal importance

PublisherIndianJournals.com

Volume NumberVol. 13 (1)

Page Number110-119

Published YearMarch 2021

ISSN/ISBN NoMedicinal Plants IndianJournals.com

Indexed INScopus

Abstract

Lagenaria siceraria (Mol.) Standl. consists of all essential elements that are required for good and normal human health. Post harvest losses occur due to lack of proper packaging material, microbial spoilage, and improper handling during transport. Thus, this study deals with viability, sensory evaluation, antioxidant enzymatic activities of L. siceraria fruits by the treatment of a combination of calcium chloride and gallic acid (abbreviated as CG) for 21 days storage at room temperature. The solutions were prepared by the addition of CG in equal amount with different concentrations: 1:1 μM, 2:2 μM, 3:3 μM, and 4:4 μM. The untreated L. siceraria fruits survived for 14 days. However, all the coated L. siceraria fruits could sustain for 21 days, and the combination of 2:2 μM CG was superior in all aspects. The combination of calcium chloride and gallic acid showed beneficial effects by delaying the ripening process.

Convex Fuzzy Mapping with Differentiability and its Application in Fuzzy Optimization

Journal

Journal NameEuropean Journal of Operation Research

Title of PaperConvex Fuzzy Mapping with Differentiability and its Application in Fuzzy Optimization

Volume Number185(2008)

Page Number47-62

Published YearJanuary

ISSN/ISBN No0377-2217

Indexed INWeb of Science

Abstract

The concepts of differentiability, convexity, generalized convexity and minimization of a fuzzy mapping are known in the literature. The purpose of this present paper is to extend and generalize these concepts to fuzzy mappings of several variables using Buckley–Feuring approach for fuzzy differentiation and derive Karush–Kuhn–Tucker condition for the constrained fuzzy minimization problem.

Generalized Ideals with a Triangular Norm

Journal

Journal NameJournal of Advanced Mathematical Studies

Title of PaperGeneralized Ideals with a Triangular Norm

PublisherFair Partners Publishers, Romania

Volume NumberVol. 6(2013), No. 1

Page Number116-126

Published YearJune 2013

ISSN/ISBN NoPrint Edition: ISSN 2065-3506, Online Edition: ISSN 2065-5851

Indexed INEBSCO, Others

Abstract

The notion of generalized ideal is redefined with respect to a triangular norm for a completely distributive complete lattice with a greatest element and least element and the new mathematical object is termed as a T-g-ideal. We have furnished examples of T-g-ideals with different t-norms and shown that a T-g-ideal with respect to one tnorm may not be a T-g-ideal with respect to another t-norm. Ne

Intuitionistic Fuzzy Relations over Intuitionistic Fuzzy Sets

Journal

Journal NameThe Journal of Fuzzy Mathematics

Title of PaperIntuitionistic Fuzzy Relations over Intuitionistic Fuzzy Sets

PublisherInternational Fuzzy Mathematics Institute, Los Angeles, Calif

Volume NumberVol 15, No3

Page Number675-688

Published YearSeptember 2007

ISSN/ISBN No1066-8950

Indexed INUGC List

Abstract

In this paper we have defined intuitionistic fuzzy relation from an intuitionistic fuzzy set to another intuitionistic fuzzy set. Defined some operations on these intuitinsitic fuzzy relations and studied some properties.

Equivalence Class in the set of Fuzzy Numbers and Its Application in Decision Making Problems

Journal

Journal NameInternational Journal of Mathematics and Mathematical Sciences

Title of PaperEquivalence Class in the set of Fuzzy Numbers and Its Application in Decision Making Problems

PublisherHindawi limited

Volume Number2006

Page Number1-19

Published YearJune 2006

ISSN/ISBN No0161-1712 (Print), 1687-0425 (Online)

Indexed INScopus, UGC List

Abstract

An equivalence relation is defined in the set of fuzzy numbers. In a particular equivalence class, arithmetic operations of fuzzy numbers are introduced. A fuzzy matrix with respect to a particular class and its associated crisp matrices are also introduced. The concept of equivalence class is applied in fuzzy decision-making problems and justified through a numerical example.

A Comparison between Intuitionistic Fuzzy Sets and Generalized Intuitionistic Fuzzy Sets

Journal

Journal NameThe Journal of Fuzzy Mathematics

Title of PaperA Comparison between Intuitionistic Fuzzy Sets and Generalized Intuitionistic Fuzzy Sets

Publisher International Fuzzy Mathematics Institute, Los Angeles, Calif

Volume Number14(2006), No. 2

Page Number407-421

Published YearJune 2006

ISSN/ISBN No1066-8950

Indexed INUGC List

Abstract

In this paper we have shown that some operations that are valid for intuitionistic fuzzy sets are not valid for generalized intuitionistic fuzzy sets. Also we have found that some results which appeared in the paper by Krassimir Atanassov are not correct and we have presented the correct version of the results. We have further introduced some new operations over generalized intuitionistic fuzzy se

AI and game-based efficient resource allocation and interference mitigation scheme for D2D communication

Journal

Journal NamePhysical Communications

Title of PaperAI and game-based efficient resource allocation and interference mitigation scheme for D2D communication

PublisherElsevier

Volume Number2024 (66)

Page Number102408

Published YearMay 2024

ISSN/ISBN No1876-3219

Indexed INScopus, Web of Science

Abstract

Device-to-device (D2D) communication essentially means to communicate between two devices without the base station interfering. D2D communication is used in wireless 5G networks, the Internet of Things, Bluetooth and WiFi, and vehicular networks. D2D communication is useful as it increases spectral efficiency, network efficiency, user experience, and throughput, all of which are better than those available in cellular communication. Thus, D2D communication is a preferred mode of communication. However, D2D communication faces issues like mode selection, interference, resource allocation (RA), and security. The need for RA stands because multiple D2D users (DUs) compete for the same resources. Now, the goal should be to optimize RA to enhance the spectrum efficiency and network coverage. Still, the issues here are caused by eavesdroppers (𝜀), devices that can interfere with communication and encrypt/decrypt the messages. In our proposed scheme, we combined artificial intelligence (AI) and coalition game theory to resolve the issues of optimized RA and security. The coalition game is used for efficient RA, but it will take all the DUs that increase the overhead into the system. To mitigate this issue, we proposed an AI-based solution, which selects the best DUs based on their channel conditions. Our major evaluation parameters were accuracy, sum secrecy capacity and data rate.

Solution Of Tight Binding Model For Graphene In Advanced Nanoelectromechanical Systems Using Finite Difference Method

Conference

Title of PaperSolution Of Tight Binding Model For Graphene In Advanced Nanoelectromechanical Systems Using Finite Difference Method

Author NameDr. Sandeep malhotra

OrganizationRecent Advancements In Materials Science And Nanotechnolog

Year , VenueApril 2024 , Nirma University, Ahmedabad

Cross Style Image Synthesis Through Semi Coupled Dictionary Learning And Generalized Cross Validation Algorithm

Journal

Journal NameSuranaree Journal of Science and Technology

Title of PaperCross Style Image Synthesis Through Semi Coupled Dictionary Learning And Generalized Cross Validation Algorithm

PublisherSuranaree University

Volume Number2023, 30(6)

Page Number010263(1-11)

Published YearNovember 2023

ISSN/ISBN No0858-849X

Indexed INScopus, Web of Science

Abstract

In various Computer vision applications for better visualization, interpretation and better recognition, we frequently want to change an image in one style into another one which is a large research area of compressive sensing. Algorithms on compressed sensing are in demand to create better reconstruction of the images while taking less computational time and requiring less storage capacity. In the present work attempts are put in the same direction and brought an algorithm which includes semi coupled dictionary learning (SCDL) model of compressed sensing with Singular Value Decomposition (SVD) based Generalized Cross Validation (GCV) algorithm. Using this algorithm one can find the different value of regularization parameters for different sizes of images and that helps to get better reconstruction of the images with ease while doing experiments on cross style image synthesis problems.

Transmission Function Calculations For Transition Metals Intercalation Of Nanoribbons In Advanced Nanoelectromechanical Systems Using Green’s Function

Conference

Title of PaperTransmission Function Calculations For Transition Metals Intercalation Of Nanoribbons In Advanced Nanoelectromechanical Systems Using Green’s Function

Author NameDr. Sandeep malhotra

Organization3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING & SIMULATION IN PHTSICAL SCIENCES

Year , VenueJune 2023 , SVNIT, Surat

Solution of 1st Order Stiff Ordinary Differential Equations Using Feed Forward Neural Network and Bayesian Regularization Algorithm

Journal

Journal NameMathematics and Statistics

Title of PaperSolution of 1st Order Stiff Ordinary Differential Equations Using Feed Forward Neural Network and Bayesian Regularization Algorithm

PublisherHorizon Research

Volume Number2022, 10(2)

Page Numberpp. 366–377

Published YearMarch 2022

ISSN/ISBN No2332-2144

Indexed INScopus

Abstract

A stiff equation is a differential equation for which certain numerical methods are not stable, unless the step length is taken to be extraordinarily small. The stiff differential equation includes few terms that could result in speedy variation in the solution. When integrating a differential equation numerically, the requisite step length should be incredibly small. In the solution curve, much variation can be observed where the solution curve straightens out to approach a line with slope almost zero. The phenomenon of stiffness is observed when the step-size is unacceptably small in a region where the solution curve is very smooth. A lot of work on solving the stiff ordinary differential equations (ODEs) have been done by researchers with numbers of numerical methods that currently exist. Extensive research has been done to unveil the comparison between their rate of convergence, number of computations, accuracy, and capability to solve certain type of test problems. In the present work, an advanced Feed Forward Neural Network (FFNN) and Bayesian regularization algorithm-based method is implemented to solve first order stiff ordinary differential equations and system of ordinary differential equations. Using proposed method, the problems are solved for various time steps and comparisons are made with available analytical solutions and other existing methods. A problem is simulated using proposed FFNN model and accuracy has been acquired with less calculation efforts and time. The outcome of the work is showing good result to use artificial neural network methods to solve various types of stiff differential equations in near future.

Understanding The Dynamics of European Prizing Option Through The Mathematics of The Black-Scholes Merton Model

Book Chapter

Book NameDynamics of International Finance

PublisherNova Publications, USA,

Author NameDr. Sandeep Malhotra

Page NumberChapter 10, pp. 131-138

Chapter TitleUnderstanding The Dynamics of European Prizing Option Through The Mathematics of The Black-Scholes Merton Model

Published YearJanuary 2022

ISSN/ISBN No978-1-48507-838-4

Indexed INScopus

Transient Simulation of vapor liquid two phase flow inside single tube evaporator using quazi linearization approach

Book Chapter

Book NameAdvanced Engineering Research & Applications Vol III

PublisherResearch India Publication

Author NameHongseok Choi, Department of Mechanical Engineering, Clemson University, USA

Page Number1-16

Chapter TitleTransient Simulation of vapor liquid two phase flow inside single tube evaporator using quazi linearization approach

Published YearOctober 2018

ISSN/ISBN No978-93-87374-54-6

Solution of Stiff Differential Equations & Dynamical Systems Using Neural Network Methods

Book Chapter

Book NameIntroduction of Computational and Applied Mathematics

PublisherResearch India Publication

Author NameProf. Kewan Zhao, Department of Mathematics, University of Qiongzhou, Hainan, P. R. China

Page Number27-34

Chapter TitleSolution of Stiff Differential Equations & Dynamical Systems Using Neural Network Methods

Published YearJune 2018

ISSN/ISBN No978-93-87374-35-5

Compressed Sensing and Applications by using Dictionaries in Image Processing

Book Chapter

Book NameIntroduction of Computational and Applied Mathematics

PublisherResearch India Publication

Author NameProf. Kewan Zhao, Department of Mathematics, University of Qiongzhou, Hainan, P. R. China

Page Number35-46

Chapter TitleCompressed Sensing and Applications by using Dictionaries in Image Processing

Published YearJune 2018

ISSN/ISBN No978-93-87374-35-5

Transient simulation of Vapor Liquid Two Phase Flow inside Single Tube Heat Exchanger using Finite Difference Method

Conference

Title of PaperTransient simulation of Vapor Liquid Two Phase Flow inside Single Tube Heat Exchanger using Finite Difference Method

OrganizationDepartment of Mathematics, IIT, Bombay

Year , VenueJune 2017 , Department of Mathematics, IIT, Bombay

Transient Simulation of vapor liquid two phase flow inside single tube condenser using quazi linearization approach

Book Chapter

Book NameAdvanced Mathematics: Theory & Applications, ISBN 978-93-84443-20-7 (2016), Chapter 27

PublisherResearch India Publication

Author NameProf. Taekyun Kim, Jangjeon Research Institute for Mathematical Science and Physics, South Korea

Page Number305-324

Chapter TitleTransient Simulation of vapor liquid two phase flow inside single tube condenser using quazi linearization approach

Published YearJanuary 2016

ISSN/ISBN No978-93-84443-20-7

Teaching of Mathematics in Engineering by Discussing the Different Conceptual Ideas

Conference

Title of PaperTeaching of Mathematics in Engineering by Discussing the Different Conceptual Ideas

Proceeding NameIEEE Digital Library

PublisherIEEE

OrganizationInstitute of Technology, Nirma University

Year , VenueNovember 2015 , Nirma University

ISSN/ISBN No978-1-4799-9991

Indexed INScopus

Derivation of European call option for financial market using Fourier Transform Method

Conference

Title of PaperDerivation of European call option for financial market using Fourier Transform Method

Proceeding NameInternational Science Congress Association E - Publications

OrganizationNational Conference on Advances in Technology & Applied Sciences

Year , VenueMarch 2014 , JIET School of Engineering & Technology, Jodhpur, Rajasthan

ISSN/ISBN NoISBN - 978-93-84648-10-7

Stiff Dynamical System & Simulation of Single tube Heat exchanger

Conference

Title of PaperStiff Dynamical System & Simulation of Single tube Heat exchanger

OrganizationDepartment of Mathematics, Central University of Rajasthan

Year , VenueMarch 2014 , Department of Mathematics, Central University of Rajasthan

Black-Scholes Merton Partial Differential Equations & Scientific Computations

Conference

Title of PaperBlack-Scholes Merton Partial Differential Equations & Scientific Computations

Author NameSandeep Malhotra, Jigna Panchal

OrganizationIndus University, Ahmadabad

Year , VenueJanuary 2014 , Indus University, Ahmadabad

Klein-Gordan Partial Differential Equations & Scientific Computations

Conference

Title of PaperKlein-Gordan Partial Differential Equations & Scientific Computations

Author NameSandeep Malhotra, Nutan Patel

OrganizationIndus University, Ahmadabad

Year , VenueJanuary 2014 , Indus University, Ahmadabad

Time Step calculation in Transient Simulation of Vapor-Liquid two Phase flow inside single tube condenser

Conference

Title of PaperTime Step calculation in Transient Simulation of Vapor-Liquid two Phase flow inside single tube condenser

OrganizationDepartment of Applied Mathematics and Humanities, SVNIT, Surat

Year , VenueDecember 2010 , Department of Applied Mathematics and Humanities, SVNIT, Surat

Chapter 14 Vertex Magic Total Labeling of Tensor Product of Cycles

Book Chapter

Book NameRecent Advancements in Graph Theory

PublisherTaylor & Francis Group, CRC publishers

Author NameS T Trivedi, N P Shrimali

Page Number169-179

Chapter TitleChapter 14 Vertex Magic Total Labeling of Tensor Product of Cycles

Published YearNovember 2020

ISSN/ISBN No9781000210200

Indexed INScopus, Others

Abstract

A vertex magic total labeling of a graph assigns a set of labels from a specific set to all vertices and edges of the graph such that the sum of the vertex label and labels of all incident edges does not depend on the vertex. This chapter presents a construction of vertex magic total labeling of a specific tensor product. The construction is based on a vertex magic total labeling of a Cartesian product. In vertex magic total labeling, a bijective function exists if there is a constant. A vertex magic total graph is provided with a vertex magic total labeling. Graphs for odd natural number have the vertex magic total labeling. The chapter discusses the calculation of magic constant and cyclic grid form of tensor product.

(a,d)-total Neighborhood-ntimagic Labeling

Journal

Journal NameAdvances in Mathematics: Scientific Journal

Title of Paper(a,d)-total Neighborhood-ntimagic Labeling

Publisher the Union of researchers of Macedonia, Skopje, North Macedonia

Volume Number9 (7)

Page Number4673-4685

Published YearAugust 2020

ISSN/ISBN No1857-8365

Indexed INScopus, Others

Abstract

In this paper, we introduce a new variant of (a, d)-antimagic total labeling for a graph G = (V,E) called (a, d)-total neighborhood-antimagic labeling (TNAL). A total labeling is said to be an (a, d)-total neighborhoodantimagic labeling if the set of total weights of vertices form an arithmetic progression with initial value a and difference d. We give some necessary conditions for the existence of this labeling for a graph G. We investigate (a, d)-total neighborhood-antimagic labeling of cycle Cn. We also discuss the construction of dual labeling from the existing labeling.

Gaussian Neighborhood-prime Labeling of Graphs containing Hamiltonian cycle

Journal

Journal NameMathematical Journal of Interdisciplinary Sciences

Title of PaperGaussian Neighborhood-prime Labeling of Graphs containing Hamiltonian cycle

PublisherChitkara University Publications

Volume Number7 (2)

Page Number161-165

Published YearMarch 2019

ISSN/ISBN No2278-9561

Indexed INWeb of Science, Others

Abstract

In this paper, we examine Gaussian neighborhood-prime labeling of generalized Peterson graph and graphs which contain Hamiltonian cycle.

Gaussian Neighborhood-prime Labeling of Trees and some other Graphs

Journal

Journal NameJournal of Science and Computations

Title of PaperGaussian Neighborhood-prime Labeling of Trees and some other Graphs

PublisherJournal of Science and Computations

Volume Number6

Page Number1227-1235

Published YearMarch 2019

ISSN/ISBN No2278-9561

Indexed INWeb of Science, Others

Abstract

In this paper, we examine the Gaussian neighborhood-prime labeling of Triangular snake, Quadrilateral snake, Mobius ladder, Banana tree and Caterpillars.

A sustainable bi-objective inventory model with source-based emissions and plan-based green investments under inflation and the present value of money

Journal

Journal NameOperations Research and Decisions

Title of PaperA sustainable bi-objective inventory model with source-based emissions and plan-based green investments under inflation and the present value of money

PublisherWroclaw University of Science and Technology

Volume Number34

Page Number91-117

Published YearMarch 2024

ISSN/ISBN NoISSN 2391-6060 (Online)

Indexed INScopus, Web of Science, EBSCO, Others

Abstract

The paper develops a finite-horizon inventory model with source-based emissions, plan-based green investments under inflation, and the present value of money. The cap-and-trade policy is used as the carbon policy. The model is solved in a bi-objective scenario where the two objectives are maximization of the present value of net profit and minimization of the total emission. We find the Pareto optimal solutions represented by a Pareto front using the ϵ-constraint method. A flowchart is provided to find the non-dominated solutions. Pareto solutions for three special cases (no inflation, carbon tax, and no green investments) are also derived. In our sensitivity analyses, we observe that the carbon quota does not affect the optimal policy. It only affects the optimum profit. Our model shows that green investment is beneficial for the polluting firm and also for the environment.

Effect of Green Technology Investment on Crude Oil Inventory System-A Case Study Based on ONGC Data

Journal

Journal NameYugoslav Journal of Operations Research

Title of PaperEffect of Green Technology Investment on Crude Oil Inventory System-A Case Study Based on ONGC Data

Volume Number34

Page Number177-200

Published YearOctober 2023

ISSN/ISBN NoISSN: 0354-0243 EISSN: 2334-6043

Indexed INScopus, EBSCO

Abstract

The carbon footprints are increasing in the environment at an alarming rate mainly due to unplanned human activities. The world’s population will continue to grow at a rapid pace in the future. As a result, our future generations may find it difficult to live on this planet in a healthy manner. The world’s developed and developing countries began to investigate various methods for reducing their carbon footprint. However, it will not be sustainable if it is also not economically viable. In this scenario, maintaining a good profit for businesses while reducing their carbon footprint necessitates a pragmatic strategy. In this article, we will try to find a way out that will provide us with a practical solution. We will simulate the profitability of an upstream oil manufacturer that has invested heavily in green technologies. Under a carbon tax system, we will use the production-inventory model. This system assumes that capital investment in green technology can reduce emissions, and increase profits. We used data from the Oil and Natural Gas Corporation of India, available in its annual reports. As a matter of fact, the Oil and Natural Gas Corporation of India accounts for 70% of crude oil production in India and is a major player in India’s upstream oil companies. The results were quite encouraging, with deviations between expected and actual values being less than 10%. The findings also led us to believe that the excise duty and the pollution control tax levied in India can be regarded as a Green Tax or Carbon Tax. We used a published research model to find the optimal solution.

An analysis of crude oil prices in the last decade (2011-2020): With deep learning approach

Journal

Journal NamePLoS One

Title of PaperAn analysis of crude oil prices in the last decade (2011-2020): With deep learning approach

PublisherPLoS

Volume Number18

Page Number1-32

Published YearMarch 2023

Indexed INScopus, PubMed, Web of Science

Abstract

Crude Oil is one of the most important commodities in this world. We have studied the effects of Crude Oil inventories on crude oil prices over the last ten years (2011 to 2020). We tried to figure out how the Crude Oil price variance responds to inventory announcements. We then introduced several other financial instruments to study the relation of these instruments with Crude Oil variation. To undertake this task, we took the help of several mathematical tools including machine learning tools such as Long Short Term Memory(LSTM) methods, etc. The previous researches in this area primarily focussed on statistical methods such as GARCH (1,1) etc. (Bu (2014)). Various researches on the price of crude oil have been undertaken with the help of LSTM. But the variation of crude oil price has not yet been studied. In this research, we studied the variance of crude oil prices with the help of LSTM. This research will be beneficial for the options traders who would like to get benefit from the variance of the underlying instrument.

A combined architecture of multivariate LSTM with Mahalanobis and Z-Score transformations for oil price forecasting

Journal

Journal NameEnergy

Title of PaperA combined architecture of multivariate LSTM with Mahalanobis and Z-Score transformations for oil price forecasting

PublisherELSEVIER

Volume Number231

Published YearSeptember 2021

Indexed INScopus, Web of Science, EBSCO

Abstract

Oil price plays a vital role in a country's economy. Oil price forecasting helps in making better economic planning and decisions. The fluctuation in the oil price occurs due to several factors that make oil price forecasting a challenging task. Deep learning models such as Recurrent Neural Networks (RNN) have emerged as a successful method in solving many nonlinear and complex problems. In this research, a combined architecture of Multivariate Long Short Term Memory (MLSTM) is proposed with Mahalanobis and Z-score transformations. These transformations improve the data to uncorrelated and standardized variance, thus making data more suitable for regression analysis. The available historical time-series data on the West Texas Intermediate (WTI) oil prices and the factors affecting the oil prices are collected to form the data set. The feature selection process using selectKBest and correlation analysis is carried out. We develop six variants of MLSTM models with different features, transformations, and outlier elimination. The MLSTM model with Z-score transformation on the selected features and outlier eliminated data gives an RMSE of 0.212 and an R2 score of 0.954. This indicates that our model performed well.

A multi-criteria decision-making approach to rank the sectoral stock indices of national stock exchange of India based on their performances

Journal

Journal NameNational Accounting Review

Title of PaperA multi-criteria decision-making approach to rank the sectoral stock indices of national stock exchange of India based on their performances

PublisherAIMS Press

Volume Number3

Page Number272-292

Published YearJuly 2021

ISSN/ISBN No2689-3010

Abstract

The ideal sector for an investment is a challenge for any capital market investor. This complexity is primarily attributed to the dynamic and volatile nature of public policies and macroeconomic factors that indirectly impact a sector’s growth. In recent years, India in particular, has witnessed dynamic policies being implemented by the Government, such as Demonetization and Goods and Services Tax (GST), which led to sudden changes in the market forces. Thus, it is imperative that researchers focus on developing new scientific techniques for selecting the ideal sector to invest in capital markets. Understanding and analyzing a sector’s behaviour is of prime importance to investors in any emerging capital market. This task appears to be complex as an investor needs to decide from a diverse set of sectors, where performance ranking can conflict with another for different variables. A volatile sector might be ranked higher on pure returns but would be ranked lower if risk-adjusted performance was considered. This is commonly referred to as a multiple criteria decision-making (MCDM) problem. In this paper, we consider the data of eleven Nifty sectoral indices from the National Stock Exchange (NSE) of India from January 2017 to December 2018. We apply three MCDM methods—COPRAS, SAW, and TOPSIS to rank the sectors and provide a holistic overview of their performance. Additionally, we propose a hybrid-ranking approach to solve the issue of divergent rankings from different MCDM.

An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

Journal

Journal NameRAIRO-Oper. Res

Title of PaperAn integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

Volume Number55

Page NumberS2727-S2746

Published YearMarch 2021

Indexed INScopus, Others

Abstract

Brand substitution is common observed phenomenon in daily life. It is the decision makers’ economic understanding and potential scheme for business-industries. Also, it provides the flexibility in management and increases the ability to control the production. This works proposes an integrated supplier–retailer inventory model for substitutable products. Two suppliers work not works with two different brand products with their corresponding demand are involved and one retailer sells each of the products. To nullify the complexities of the joint optimization problem, we first develop a deterministic model for three cases: no substitution, partial substitution and full substitution, then we go for its fuzzification. Keeping the financial constraint of each producer, we have studied over the elasticity of the cost parameters by means of triangular dense fuzzy lock set approach with its locking and unlocking property for final decision making. Finally, sensitivity analysis and graphical illustrations are made to justify the model.

A New Green Efficiency-Based Carbon Taxing Policy and Its Effects on a Production-Inventory System with Random Carbon Emissions and Green Investment

Journal

Journal NameAdvances in Operations Research

Title of PaperA New Green Efficiency-Based Carbon Taxing Policy and Its Effects on a Production-Inventory System with Random Carbon Emissions and Green Investment

PublisherHindawi

Volume Number2020

Published YearOctober 2020

Indexed INScopus, EBSCO

Abstract

In this study, the author proposes a new carbon taxing policy. This proposed carbon tax has two tax components. The first component is constant, and the second component depends on the green efficiency of production. The green efficiency of production is measured by the average amount of emissions per unit production in an assessment year. The green efficiency-based tax component can be reset every year. Lesser average emission rate indicates better green efficiency. The second component of this proposed carbon tax forces the firm to improve the green efficiency of production, which results in cleaner production. The author incorporates this new carbon tax policy in a production-inventory system with a price-sensitive demand rate. A rule is provided for the implementation of this new tax. Emissions during setup, production, and storage are considered as independent random variables. The firm has the opportunity of investing in green technologies to improve green efficiency. A profit maximization policy is adopted to solve the developed model. A solution algorithm is also provided. The model is illustrated by numerical examples with randomly generated model parameters. The results of numerical examples show the environmental benefits of the proposed carbon tax.

A hybrid carbon policy inventory model with emission source-based green investments

Journal

Journal NameOPSEARCH

Title of PaperA hybrid carbon policy inventory model with emission source-based green investments

PublisherSpringer

Volume Number57

Page Number202-220

Published YearMarch 2020

Indexed INScopus, EBSCO, Others

Abstract

The present study analyzes a production-inventory system with hybrid carbon regulation policy. This hybrid carbon policy is a combination of carbon tax and cap-and-trade policies. It considers a single item that can be produced in different qualities. Production cost, setup cost, amount of emissions and the demand rate depend on the quality. The demand rate for each quality is price sensitive. Emissions occur from three sources—setup, production process and stock holding. The firm can invest on green technologies in each emission source separately to reduce emissions. This model considers profit maximization policy. The managerial problem is to select the profit-maximizing quality for production, and to find the optimum values of the production run time, green investments and the selling price. An algorithm is provided to solve the model. The model is illustrated by a numerical example. Sensitivity analysis is also performed.

Effect of green technology investment on a production-inventory system with carbon tax

Journal

Journal NameAdvances in Operations Research

Title of PaperEffect of green technology investment on a production-inventory system with carbon tax

PublisherHindawi

Volume Number2017

Published YearJanuary 2017

Indexed INScopus, EBSCO, Others

Abstract

Carbon emissions play the central role in global warming. Manufacturing firms are significant contributors to carbon emissions. In many countries, regulatory authorities are taking actions to reduce emissions. Carbon taxation and cap-and-trade schemes are two mechanisms implemented in many countries. In the present paper, the author analyzes a production-inventory model under a carbon tax system. The production rate is assumed to be a decision variable and can be set at any level within machine limits. A proportion of items produced are defective, and this proportion depends on the production rate. Demand depends on the selling price. Unit price is a decreasing function of the production rate. Emissions can be reduced to some extent by capital investment on green technology, and this capital investment amount is a decision variable. Customers are categorized as retail customers and wholesale customers. A discount is offered to the wholesale customers on the regular selling price. The results are illustrated by a numerical example and a sensitivity analysis is performed.

Inventory system with defective products and investment opportunity for reducing defective proportion

Journal

Journal NameOperational Research

Title of PaperInventory system with defective products and investment opportunity for reducing defective proportion

PublisherSpringer

Volume Number17

Page Number297-312

Published YearJanuary 2016

Indexed INScopus, EBSCO, Others

Abstract

This paper proposes a production-inventory model with defective items. The model incorporates additional investment opportunity on quality improvement for reducing the proportion of defective products. Defective proportion depends upon production rate and the amount of this additional investment on quality improvement. Shortages are allowed and are fully backlogged. Only a random proportion of defective items can be resold at a highly discounted price and rest are to be disposed. Demand rate is assumed to be dependent on selling price. Unit cost is assumed to be a decreasing function of production rate. Profit maximization criterion is used to develop the model. The model jointly determines the optimum values of additional investment, selling price, production rate, production cycle, and production period. Concavity of the expected average net profit is proved. An iteration-based simple algorithm is provided to solve the developed model. The model is illustrated by a numerical example. A sensitivity analysis has been performed.

An inventory model for deteriorating items with stock-dependent demand, time-varying holding cost and shortages

Journal

Journal NameOPSEARCH

Title of PaperAn inventory model for deteriorating items with stock-dependent demand, time-varying holding cost and shortages

PublisherSpringer

Volume Number52

Page Number55-74

Published YearMarch 2015

Indexed INScopus, EBSCO, Others

Abstract

In this article, an inventory model for deteriorating items with two components demand and time-varying holding cost has been developed. Demand is assumed to be stock-dependent up to the level of available stock. After which the demand is considered as constant i.e. during stock-out period. Shortages are allowed and are fully backlogged. Profits are maximized in both the infinite and finite time horizon cases. Some special cases are also derived from the main models. Two numerical examples are provided for both finite and infinite time horizon. Sensitivity analysis performed has shown successful effects of various model parameters on net profit.

An inventory model with price and quality dependent demand where some items produced are defective

Journal

Journal NameAdvances in Operations Research

Title of PaperAn inventory model with price and quality dependent demand where some items produced are defective

PublisherHindawi

Volume Number2013

Published YearJanuary 2013

Indexed INScopus, Others

Abstract

This paper analyzes an inventory system for joint determination of product quality and selling price where a fraction of items produced are defective. It is assumed that only a fraction of defective items can be repaired/reworked. The demand rate depends upon both the quality and the selling price of the product. The production rate, unit price, and carrying cost depend upon the quality of the items produced. Quality index is used to determine the quality of the product. An algorithm is provided to solve the model with given values of model parameters. Sensitivity analysis has also been performed.

An inventory system with stock-dependent, price-sensitive demand rate

Journal

Journal NameProduction Planning & Control

Title of PaperAn inventory system with stock-dependent, price-sensitive demand rate

PublisherTaylor & Francis

Volume Number12

Page Number13-20

Published YearJanuary 2001

Indexed INScopus, EBSCO, Others

Abstract

This article analyses an inventory system where the demand rate is influenced by both displayed stock level and selling price. A finite period system has been considered under multi-replenishment scenario. Optimal selling price and the optimal order quantities have been treated as decision variables. An algorithmic solution procedure is provided on the basis of some observations and is illustrated by some numerical examples. A sensitivity analysis has been performed to study the effects of changes of the demand parameters on the net profit.

Demand promotion by upgradation under stock-dependent demand situation–a model

Journal

Journal NameInternational Journal of Production Economics

Title of PaperDemand promotion by upgradation under stock-dependent demand situation–a model

PublisherElsevier

Volume Number55

Page Number31-38

Published YearJune 1998

Abstract

The idea of demand promotion by upgrading the existing system of the selling centre has been modelled in this article. The consumption rate is assumed to be dependent on the stock level. The problem has been reduced to a maximizing problem. The algorithmic approach for solving this maximizing problem is also provided. Objective is to maximize the net profit over a prescribed time. An increasing convex upgradation cost is considered. Exponential upgradation cost has been considered for the numerical examples.

An inventory model with two-component demand rate and shortages

Journal

Journal NameJournal of the Operational Research Society

Title of PaperAn inventory model with two-component demand rate and shortages

PublisherTaylor & Francis online

Volume Number47

Page Number1029-2036

Published YearAugust 1996

Indexed INScopus, Web of Science, ABDC, Others

Abstract

The article investigates a deterministic inventory system with two-component demand rate. The demand rate is stock-dependent down to a certain level and then constant. Shortages are allowed and are fully backlogged. The storage space is assumed to be limited. A flowchart is provided to solve a general system. To study the effects of changes in the system parameters on the average net profit a sensitivity analysis has been performed.

A note on a replenishment policy for an inventory model with linear trend in demand and shortages

Journal

Journal NameJournal of the Operational Research Society

Title of PaperA note on a replenishment policy for an inventory model with linear trend in demand and shortages

Volume Number43

Page Number993-1001

Published YearOctober 1992

Indexed INScopus, Web of Science, ABDC, Others

Abstract

The present paper deals with an alternative approach for finding the optimal number of replenishments and optimal replenishment times for a finite-horizon inventory problem with linearly increasing demand allowing shortages which are fully backlogged. The method is developed by assuming that successive replenishment cycle lengths are in arithmetic progression. The corresponding results in the absence of shortage are also derived and finally some numerical examples are presented and compared with the existing methods to test the accuracy and effectiveness of the method. A sensitivity analysis has also been presented to study the effect of changes in the system parameters on the optimal cost.

Effects of inflation and time-value of money on an inventory model with linear time-dependent demand rate and shortages

Journal

Journal NameEuropean Journal of Operational Research

Title of PaperEffects of inflation and time-value of money on an inventory model with linear time-dependent demand rate and shortages

PublisherNorth-Holland

Volume Number52

Page Number326-333

Published YearJune 1991

Abstract

In the present paper an attempt has been made to investigate the effects of inflation and time-value of money on an inventory model with linear time-dependent demand rate. Shortages are allowed in this model. The model developed in this article is a finite-horizon (T, Si) policy inventory model. To the best of the authors knowledge, such type of inventory model has not been considered earlier. A numerical example has also been given to illustrate the developed model.