4.1 Article

A Benson type algorithm for nonconvex multiobjective programming problems

Journal

TOP
Volume 25, Issue 2, Pages 271-287

Publisher

SPRINGER
DOI: 10.1007/s11750-016-0430-3

Keywords

Multiobjective optimization; Efficient solution; Nondominated point; Approximation algorithm

Funding

  1. Center of Excellence Mathematics, University of Shahrekord, Iran
  2. IPM [94900423]

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In this paper, an approximation algorithm for solving nonconvex multiobjective programming problems (NCMOPs) is presented. We modify Benson's method using cones instead of hyperplanes. This algorithm uses an inner approximation and an outer approximation to generate (weakly) efficient solutions and (weakly -) nondominated points of NCMOPs. Some numerical examples are presented to clarify the proposed algorithm.

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