Solving the Multi Objective Programming Problem Using Mean and Median Value

Abstract

In this paper, the present algorithm [4] to solve fractional programming problem for multi objective functions, investigate the algorithm to solve linear programming problem for multiobjective functions [2], the computer application of algorithm was tested on a number of numerical examples and modify the approach by using mean and median for values of objective functions, to combine objective function from objective functions for linear programming problem for multi objective functions then it has been improved the above algorithm to solve the problem and computer application of improvement algorithm has been demonstrated by a flow chart and solving numerical examples on the computer then the good results have been often, as compared to the previous method [2]. Keywords: fractional programming problem, Multiobjctive linear programming problem. ‫م‬ ‫حل‬ ‫سألة‬ ‫األهداف‬ ‫متعددة‬ ‫البرمجة‬ ‫الوسط‬ ‫القيمة‬ ‫باستخدام‬ ‫ى‬ ‫و‬ ‫القيمة‬ ‫المتوسطة‬ ‫سليمان‬ ‫الدين‬ ‫نجم‬ ‫جولنار‬ ‫صادق‬ ‫كلي‬ ‫بية‬ ‫التر‬ ‫ة‬ ‫العلوم‬ ‫كلية‬ ‫الدين‬ ‫صالح‬ ‫جامعة‬ ‫االستالم:‬ ‫تاريخ‬ 25 / 04 / 2005 ‫ال‬ ‫تاريخ‬ ‫قبول:‬ 04 / 09 / 2005 ‫الملخص‬

A Proposed New Average Method for Solving Multi-Objective Linear Programming Problem Using Various Kinds of Mean Techniques

“…In which multi-objective function are converted into single objective function with limitation that, individually each objective function optimum value must be greater than zero [2]. Using mean and median solving multi objective programming problem is studied by Sulaiman and Sadiq [3]. Sulaiman and Mustafa also used Harmonic mean to solve MOLPP [4].…”

An Approach for Solving Multi-Objective Linear Fractional Programming Problem and It's Comparison with Other Techniques

“…A study of multi-objective linear programming problem (MOLPP) is introduced in [2] which suggest an approach to set up multi-objective function under the limitation so that the optimum value of individual problem was greater than zero. Sulaiman and Sadiq studied the Multi-objective function by using mean and median technique [4]. Also Sulaiman and Salih studied the multi-objective fractional programming problem by using mean and median technique [5].…”

Using Harmonic Mean to Solve Multi-Objective Linear Programming Problems

“…A multi-objective linear programming problem is introduced by Chandra Sen [1] and suggests an approach to construct the multi-objective function under the limitation that the optimum value of individual problem was greater than zero. [2] studied the multi-objective function by solving the multi-objective programming problem, using mean and mean value. [3] solved the multi objective fractional programming problem by Chandra Sen's technique.…”

“…The computer application of our algorithm has also been discussed by solving some numerical examples. Finally we have showed results and comparison among the new technique and Chandra Sen's approach [1] and Sulaiman's approach [2].…”

“…Using modified approach,[2]: A-using Mean: after convert the MOLPP to the single objective problem we get Median: after convert the MOLPP to the single objective problem we get value of each of individual objective function by simplex method the results as below in…”