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.
Highlights
Multi-objective programming is used in application for many real world problems including problems in the fields of engineering, mining and finance
In the last few decades multi–objective linear programming problem has become an interesting field for some researcher and the achievement is remarkable in the respective research area
A discussion has been given by Abdulrahim [5] about Extreme Point Quadratic Fractional Programming Problem (EPQFPP)
Summary
Multi-objective programming is used in application for many real world problems including problems in the fields of engineering, mining and finance. The main aim of multi-objective programming is to assist a decision maker (DM) to choose a preferred solution among all the trade-offs. Sulaiman and Mustafa [2] discussed harmonic mean to solve multi-objective linear programming problems. Nahar and Alim [3] generalized multi-objective linear fractional programming problem by a new geometric average method to get optimal solution. A discussion has been given by Abdulrahim [5] about Extreme Point Quadratic Fractional Programming Problem (EPQFPP). Geometric average technique to solve Extreme Point Multi- Objective Quadratic Programming Problems (EPMOQPP) has been given by Sulaiman et al [9]. Sulaiman [11] discussed the computational aspects of single-objective indefinite quadratic programming problem with extreme point.
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