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A fractional-order model to study the dynamics of the spread of crime

Mathur, Trilok (Elsevier, 2023-07)

Numerous crucial factors and parameters influence the dynamic process of the spread of crime. Various integer-order differential models have been proposed to capture crime spread. Most of these introduced dynamic systems ...

Fractional derivative based weighted skip connections for satellite image road segmentation

Mathur, Trilok (Elsevier, 2023-04)

Segmentation of a road portion from a satellite image is challenging due to its complex background, occlusion, shadows, clouds, and other optical artifacts. One must combine both local and global cues for an accurate and ...

Fractional boundary value problem in complex domain

Agarwal, Shivi; Mathur, Trilok (Elsevier, 2023-10)

Fractional calculus of complex order in complex domain has emerged as a brand-new area of study. Over the past few years, fractional boundary value problems (FBVP) in real variables have been extensively studied but there ...

Fractional-order crime propagation model with non-linear transmission rate

Agarwal, Shivi; Mathur, Trilok (Elsevier, 2023-04)

Various studies present different mathematical models of ordinary and fractional differential equations to reduce delinquent behavior and encourage prosocial growth. However, these models do not consider the non-linear ...

Total Factor Productivity Growth, Technical Progress and Efficiency Change in Sugar Industry of Uttar Pradesh

Agarwal, Shivi (Sage, 2006-07)

This paper examines the total factor productivity (TFP) growth and its components (technical efficiency change and technology change) in the sugar industry of Uttar Pradesh. The TFP growth is estimated applying SBM-DEA-based ...

Total Factor Productivity Growth in the State Road Transport Undertakings in India: An Assessment through MPI Approach

Agarwal, Shivi (Indian Economic Review, 2009)

This Paper examines the total factor productivity (TFP) growth and its components of 34 State Road Transport Undertakings (STUs) of India for the period 1989-1990 to 2000-2001 using DEA-based Malmquist Productivity Index ...

DEA based estimation of the technical efficiency of state transport undertakings in India

Agarwal, Shivi (Springer, 2011-02)

This paper measures the technical efficiency of public transport sector in India. The study makes an attempt to provide an overview of the general status of the State Transport Undertakings (STUs) in terms of their productive ...

A new slack DEA model to estimate the impact of slacks on the efficiencies

Agarwal, Shivi (IDEAS is a RePEc, 2011)

The total potentials for improvement frequently remain unrevealed by calculating radial efficiency measure by basic data envelopment analysis (DEA) models. In this paper, we propose a new slack DEA model which extends the ...

Fuzzy Slack Based Measure of Data Envelopment Analysis: A Possibility Approach

Agarwal, Shivi (Springer, 2014-01)

Slack based measure (SBM) model of Data Envelopment Analysis (DEA) is very effective to evaluate the relative efficiency of decision making units (DMUs). It deals with the directly input excess and output shortfall to ...

Sensitivity analysis in data envelopment analysis

Agarwal, Shivi (IDEAS is a RePEc, 2014)

Data envelopment analysis (DEA) is a non-parametric technique and therefore hypothesis testing is very difficult. So, to determine the robustness of the efficiency scores obtained by DEA, sensitivity analysis is applied. ...

Efficiency Measure by Fuzzy Data Envelopment Analysis Model

Agarwal, Shivi (Taylor & Francis, 2018-11)

Data envelopment analysis (DEA) is a non-parametric technique to measure the relative efficiencies of a set of decision making units (DMUs) with common crisp inputs and outputs. Input and output data of DMUs often fluctuate. ...

DEA-neural networks approach to assess the performance of public transport sector of India

Agarwal, Shivi (Springer, 2015-10)

This paper proposes the integrated Data Envelopment Analysis-Neural Networks approach to measures the efficiency of public transport sector of India. Data have been collected for 30 State Road Transport Undertakings (STUs) ...

Scale efficiency with fuzzy data

Agarwal, Shivi (IDEAS is a RePEc, 2017)

This paper measures the scale efficiency of decision-making units (DMUs) with fuzzy input and output data using fuzzy data envelopment analysis (FDEA) model. FDEA is used to measure the relative efficiencies of a set of ...

An Efficient Portfolio Management for Trading Under Uncertain Environment

Agarwal, Shivi; Mathur, Trilok (IJSCM, 2019-04)

This study presents a framework for efficient portfolio management for trading under uncertain environment. The proposed framework can be used to determine the dominance of various sectors among the chosen set of alternatives. ...

Hierarchy of Sectors in BSE SENSEX for Optimal Equity Investments Using Fuzzy AHP

Agarwal, Shivi; Mathur, Trilok (Springer, 2019-08)

The stock market is considered as one of the most vital components of a free-market economy. The investments of the stock market are associated with a greater amount of risk. Due to the uncertainty associated with stocks, ...

DEA Model for Exogenously Fixed Variables Under Fuzzy Environment

Mathur, Trilok; Agarwal, Shivi (Springer, 2019-08)

Data Envelopment Analysis (DEA) is developed to estimate the performance of Decision-Making Units (DMUs) and it is a nonparametric approach based on linear programming. In the real world, some inputs and outputs are not ...

A DEA Model for Systematic Screening of Sustainable Suppliers with Uncertainty

Agarwal, Shivi; Mathur, Trilok; Routroy, Srikanta (Solid State Technology, 2020)

Suppliers play a vital role to create a sustainable and environment friendly supply chain of manufacturers. The manufacturer must have a systematic screening of available sustainable suppliers along various dimensions ...

A Benchmarking Approach with Missing Values Using Data Envelopment Analysis for Non-Symmetrical Fuzzy Data

Agarwal, Shivi; Mathur, Trilok (Solid State Technology, 2020)

This study proposes a benchmarking approach where the missing data point denoted by fuzzy numbers and aims to outstretch the crisp Data Envelopment Analysis (DEA) model in a fuzzy system. The fuzzy DEA integrated model is ...

Underlying dynamics of crime transmission with memory

Agarwal, Shivi; Mathur, Trilok (Elsevier, 2021-05)

Various studies suggest different mathematical models of integer order differential equations predict crime. But these models do not inherit non-local property, which depicts behavior changes due to contact with criminals ...

A novel fuzzy non-radial data envelopment analysis: An application in transportation

Mathur, Trilok; Agarwal, Shivi (EDP Sciences, 2021-07)

The slack-based measure (SBM) DEA model is a non-radial model used to calculate the relative efficiency, input, and output targets of the different decision-making units (DMUs) based on their best peers or efficient frontier. ...

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