International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 21 No. 1or Keyword in Title:
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Table of Content for Vol. 21 No. 1, 2023

DEA Efficiency Evaluation through Joint Performance and Multi-objective Approach
Arif Muhammad Tali
 PP. 1 - 11
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ABSTRACT: The intended study is an attempt to make optimization and decision of Decision making Units (DMUs) with the consideration of the joint optimization of the network from economic and environmental aspects. A multi-objective optimization model was developed and an efficiency sorting multi-objective optimization framework is proposed to solve the model. In the framework, an efficiency sorting strategy is integrated with the multi-objective optimization algorithms. The Joint Optimization DEA model presented in this paper extends the performance measurement DEA technique by evaluating the performance of all DMUs simultaneously. An Interactive method is designed which considers the gap between the target and achieved values of inputs and outputs of the DMUs and provides the decision maker with an appropriate framework to choose the most preferred solution.

Pore Network Model of Deactivation of Immobilized Glucose Isomerase in Packed-bed Reactors: An Analytical Approach Using the New Homotopy Perturbation Method
S. Narmatha
 PP. 12 - 19
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ABSTRACT: This paper"s primary goal is to derive an approximate analytical solution to a mathematical model pertaining to a pore network model of deactivation of immobilized glucose isomerase in packed-bed reactors. To solve the previously developed mathematical model, the new approach to homotopy perturbation method is used. For all parameter values, the approximative analytical expressions for the steady-state concentration and current have been determined. The analytical solution and the numerical simulation exhibit excellent agreement. This work"s findings will aid in a better understanding of the examined mathematical model.

Recent Trends in Transportation Problem: A Review Paper
Reeta Chauhan, Altaf Ahmad Bhat, Faiza Bait Ali Sulaiman, Tanveer Ahmad Tarray
 PP. 20 - 43
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ABSTRACT: Business organizations have been primarily concerned with economic optimization in the age of globalization. There is a need to minimize transportation costs whenever commodities are physically moved from the site of manufacturing to the ultimate customer via a variety of channels of distribution (wholesalers, retailers, distributors, etc.). Thus, transportation issues play an essential part in the physical distribution of goods and services from various supply centre’s to various demand centre’s, as well as the firm’s cost optimization. Classical transportation was expanded to fixed charge transportation, solid transportation issue, and fixed charge solid transportation problem due to the relevance of transportation problem in real life. This article provides a thorough examination of several extensions of the transportation issue and their applications.

Hankel Determinant for a Subclass of Univalent Functions
Ke Zhao, Rui Qian Wu
 PP. 44 - 50
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ABSTRACT: In this paper, we obtain the Hankel determinants H2(2), H3(1) upper bounds estimation of a subclass of starlike functions. The results obtained complete the series of research works in the search for sharp upper bounds on the determinants for the class.

Dynamical Analysis of Bounded Rationality Cournot Duopoly Game with Social Responsibility
Afrah M. Almoutairi, A. A. Elsadany, Amr Elsonbaty
 PP. 51 - 65
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ABSTRACT: This study examines Cournot mixed game competition. Firms consider profit and consumer surplus. The game"s local stability and Nash equilibrium point are examined. We also examine how public ownership, adjustment speed, and substitutability affect system stability. We also explored the dynamic analysis of the Cournot duopoly game with customer surplus and the chaotic behavior for complex competitive dynamics. Decision demands that affect game behavior are selected by this research. Finally, numerical simulation gives us bifurcation diagrams, maximal Lyapunov exponents, and phase portraits to explain our mathematical results and show how parameter values influence the model.