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Statistical Averaging Method and New Statistical Averaging Method for Solving Extreme Point Multi–Objective Linear Programming Problem
Mathematics Letters
Volume 4, Issue 3, September 2018, Pages: 44-50
Received: Oct. 2, 2018; Accepted: Oct. 26, 2018; Published: Nov. 14, 2018
Authors
Samsun Nahar, Department of Basic Sciences & Humanities, University of Asia Pacific, Dhaka, Bangladesh
Samima Akther, Department of Mathematics, University of Barisal, Barisal, Bangladesh
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Abstract
In this paper, statistical averaging method (arithmetic mean, geometric mean) and new statistical averaging method (new arithmetic mean, new geometric mean) have been proposed for extreme point multi-objective linear programming problem (EPMOLPP). Extreme point can be taken from graphical representation of linear programming problem (LPP). Graphical solution of LPP has been discussed in this research The objective of this method is for making single objective from multi-objective extreme point linear programming problem. Chandra Sen’s method is for making single objective from multi-objective linear programming problem (MOLPP). Here Chandra Sen’s method has also been used to solve EPMOLPP. An algorithm and program solution have been given for our proposed method to solve such type of problems. A numerical example is given and the result in Table 2 indicates that the proposed technique gives better results.
Keywords
Extreme Point Linear Programming Problem, Statistical Averaging Method, New Statistical Averaging Method, Extreme Point Multi-Objective Linear Programming Problem (EPMOLPP)
Samsun Nahar, Samima Akther, Mohammad Abdul Alim, Statistical Averaging Method and New Statistical Averaging Method for Solving Extreme Point Multi–Objective Linear Programming Problem, Mathematics Letters. Vol. 4, No. 3, 2018, pp. 44-50. doi: 10.11648/j.ml.20180403.12
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