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Characteristics of Multi-Objective Linear Programming Problem and Multi-Objective Linear Fractional Programming Problem Taking Maximum Value of Multi-Objective Functions
Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh
Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
Computer Science and Engineering Department, Prime University, Dhaka, Bangladesh
Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh
- 1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh
- 2 Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
- 3 Computer Science and Engineering Department, Prime University, Dhaka, Bangladesh
- 4 Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh
- 5 Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh
Applied Mathematics·Volume 15 (2024)·Pages 22–32·Published 18 January 2024·DOI10.4236/am.2024.151003
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Abstract
In this paper, a new statistical averaging technique is proposed for finding an optimal solution to a multi-objective linear fractional programming problem (MOLFPP) and multi-objective linear programming problem (MOLPP) by using new arithmetic averaging method and new geometric averaging method. It is significantly noticeable same characteristics among all the technique while taking maximum or minimum among all optimized values for multi-objective functions using simplex algorithm. The characteristics provided from the problems are verified by the numerical examples.
KeywordsMOLPPMOLFPPNew Arithmetic Averaging MethodNew Geometric Averaging Method
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