Pareto efficiency in robust optimization

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  • 1. School of Mathematics and Statistics, Xidian University, Xi'an 710017, China

Received date: 2017-07-31

  Online published: 2018-12-15

Abstract

In this paper, we study the Pareto efficiency of robust solutions to general optimization problems under uncertainty. Firstly, we prove that the set of Pareto robust solutions is the Pareto efficient set of the robust solution set, by which to obtain Pareto robust solutions reduces to find Pareto efficient elements of the robust solution set. Then on the basis of an extension of epsilon-constraint method, we get two ways of generating Pareto robust solutions.

Cite this article

WANG Feng, LIU Sanyang . Pareto efficiency in robust optimization[J]. Operations Research Transactions, 2018 , 22(4) : 141 -147 . DOI: 10.15960/j.cnki.issn.1007-6093.2018.04.014

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