Department of Mathematics: Recent submissions

  • 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. ...
  • A novel fuzzy non-radial data envelopment analysis: An application in transportation 
    Agarwal, Shivi; Mathur, Trilok (RAIRO-Oper. Res, 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. ...
  • A fuzzy DEA approach on the extended transportation problem 
    Agarwal, Shivi (Inder Science, 2021-12)
    The transportation problem is a part of supply chain management. It aims to minimise the cost of transportation. The existing methods to obtain the optimal solution of the transportation problem either use only a single ...
  • A Credibility Approach on Fuzzy Slacks Based Measure (SBM) DEA Model 
    Agarwal, Shivi (ARXIV, 2021-02)
    Data Envelopment Analysis (DEA) is a multi-criteria technique based on linear programming to deal with many real-life problems, mostly in nonprofit organizations. The slacks-based measure (SBM) model is one of the DEA model ...
  • Dynamics of Crime Transmission Using Fractional Order Differential Equations 
    Agarwal, Shivi; Mathur, Trilok (World Scientific, 2022)
    Due to the alarming rise in types of crime committed and the number of criminal activities across the world, there is a great need to amend the existing policies and models adopted by jurisdictional institutes. The majority ...
  • Descent principle in modular Galois theory 
    Keskar, Pradipkumar H. (IAS, 2001-05)
    We propound a descent principle by which previously constructed equations over GF.qn/.X/ may be deformed to have incarnations over GF.q/.X/ without changing their Galois groups. Currently this is achieved by starting ...
  • Patterson-Wiedemann Construction Revisited 
    Keskar, Pradipkumar H. (Elsevier, 2003-05)
    In 1983, Patterson and Wiedemann constructed Boolean functions on n = 15 input variables having nonlinearity strictly greater than 2n−1 − 2n−1/2. Construction of Boolean functions on odd number of variables with such high ...
  • Polynomial Criterion for Abelian Difference Sets 
    Keskar, Pradipkumar H. (Springer, 2020-03)
    Difference sets are subsets of a group satisfying certain combinatorial property with respect to the group operation. They can be characterized using an equality in the group ring of the corresponding group. In this paper, ...
  • Algebraic methods in difference sets and bent functions 
    Keskar, Pradipkumar H. (JACODESMATH, 2021)
    We provide some applications of a polynomial criterion for difference sets. These include counting the difference sets with specified parameters in terms of Hilbert functions, in particular a count of bent functions. We ...
  • Channel Optimization for Wireless Data Broadcast 
    Kulshrestha, Rakhee (IJCA, 2011)
    Recently data broadcast has emerged as powerful tool for information dissemination to massive number of clients equipped with portable gadgets. Wireless communication use air as medium for transferring data to exchange ...
  • Discrete-Time Analysis of Communication Networks with Second Optional Service and Negative User Arrivals. 
    Kulshrestha, Rakhee (Springer, 2020-04)
    Unreliable G-queues with the option of an additional service are appropriate mathematical models for communication networks, and hence, their performance evaluation is important for theory and applications. The present ...
  • A Multi-objective Mathematical Model for Socially Responsible Supply Chain Inventory Planning 
    Kulshrestha, Rakhee (Springer, 2022-11)
    The supply chain inventory planning is well studied and analyzed in the literature considering various costs and other factors. However, social factor is largely overlooked although, it is important like cost factors which ...

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