A Benson type algorithm for nonconvex multiobjective programming problems

Soghra Nobakhtian () and Narjes Shafiei ()
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Soghra Nobakhtian: University of Isfahan
Narjes Shafiei: University of Isfahan

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2017, vol. 25, issue 2, No 7, 287 pages

Abstract: Abstract 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 $$\varepsilon $$ ε -) nondominated points of NCMOPs. Some numerical examples are presented to clarify the proposed algorithm.

Keywords: Multiobjective optimization; Efficient solution; Nondominated point; Approximation algorithm; 90C26; 90C29; 90C30 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s11750-016-0430-3

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