On characterizations of proper efficiency for nonconvex multiobjective optimization

X.X. Huang, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

In this paper, nonconvex multiobjective optimization problems are studied. New characterizations of a properly efficient solution in the sense of Geoffrion's are established in terms of the stability of one scalar optimization problem and the existence of an exact penalty function of a scalar constrained program, respectively. One of the characterizations is applied to derive necessary conditions for a properly efficient control-parameter pair of a nonconvex multiobjective discrete optimal control problem with linear constraints.
Original languageEnglish
Pages (from-to)213-231
Number of pages19
JournalJournal of Global Optimization
Volume23
Issue number2018-04-03
DOIs
Publication statusPublished - 2002

Keywords

  • Multiobjective optimization
  • Properly efficient solution
  • Stability
  • Multicriteria discrete time optimal control

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research
  • Applied Mathematics
  • Control and Optimization

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