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A Proposed New Average Method for Solving Multi-Objective Linear Programming Problem Using Various Kinds of Mean Techniques
Mathematics Letters
Volume 4, Issue 2, June 2018, Pages: 25-33
Received: Apr. 22, 2018; Accepted: May 24, 2018; Published: Jun. 14, 2018
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Authors
Zahidul Islam Sohag, Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
Md. Asadujjaman, Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
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Abstract
In this paper, we initiated New Average Method with various kinds of mean techniques to solve multi-objective linear programming problem. In this method multi-objective functions are converted into single objective function by using different kinds of mean techniques. Also an algorithm of New Average Method is suggested for solving multi-objective linear programming problem. We illustrate numerical problem using Chandra Sen’s Method, Average Method and New Average Method. The numerical result in this paper indicates that New Average Method gives promising result than Chandra Sen’s Method and Average Method. Also we observed that, in New Average Method, Harmonic mean technique gives better result than other mean techniques like as Quadratic mean, Arithmetic mean, Identric mean, Logarithmic mean, Geometric mean techniques.
Keywords
Multi-objective Linear Programming Problem, Average Method, New Average Method, Harmonic Mean
To cite this article
Zahidul Islam Sohag, Md. Asadujjaman, A Proposed New Average Method for Solving Multi-Objective Linear Programming Problem Using Various Kinds of Mean Techniques, Mathematics Letters. Vol. 4, No. 2, 2018, pp. 25-33. doi: 10.11648/j.ml.20180402.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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