Bisection search algorithm for optimizing over the efficient set

Authors: Hoang Quang Tuyen, Thái Quỳnh Phong,

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Publisher, magazine: ,

Publication year: 2000

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Abstract

We are concerned with the problem of maximizing a linear function over the efficient set related to a multiple-objective linear programing problem. Mathematically, this problem is classified as a global optimization problem. We propose an implementable algorithm, which is hoped to be efficient when the number criteria is small relative to the number of variables.

Tags: efficient set; multiple-objective linear programing; global optimization