Yaghoobi, M., H. Dehmiry, A. (2016). Solving multiobjective linear programming problems using ball center of polytopes. Bulletin of the Iranian Mathematical Society, 42(Issue 7 (Special Issue)), 67-88.

M. A. Yaghoobi; A. H. Dehmiry. "Solving multiobjective linear programming problems using ball center of polytopes". Bulletin of the Iranian Mathematical Society, 42, Issue 7 (Special Issue), 2016, 67-88.

Yaghoobi, M., H. Dehmiry, A. (2016). 'Solving multiobjective linear programming problems using ball center of polytopes', Bulletin of the Iranian Mathematical Society, 42(Issue 7 (Special Issue)), pp. 67-88.

Yaghoobi, M., H. Dehmiry, A. Solving multiobjective linear programming problems using ball center of polytopes. Bulletin of the Iranian Mathematical Society, 2016; 42(Issue 7 (Special Issue)): 67-88.

Solving multiobjective linear programming problems using ball center of polytopes

^{}Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

Abstract

Here, we aim to develop a new algorithm for solving a multiobjective linear programming problem. The algorithm is to obtain a solution which approximately meets the decision maker's preferences. It is proved that the proposed algorithm always converges to a weak efficient solution and at times converges to an efficient solution. Numerical examples and a simulation study are used to illustrate the performance of the proposed algorithm.

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