Theory of lexicographic multi-criteria optimization

Mark J. Rentmeesters*, Wei K. Tsai, Kwei Jay Lin

*Corresponding author for this work

Research output: Contribution to conferenceConference Paperpeer-review

49 Scopus citations

Abstract

The field of multi-criteria optimization is reviewed as it pertains to lexicographic optimization over real-valued vector spaces. How lexicographic optimization differs from multi-criteria optimization that is restricted to proper Pareto optima is explained. Through a survey of previous work, it is revealed that there are currently no generally applicable methods for solving lexicographic optimization problems, and it is explained that this is due to the lack of an adequate mathematical theory for such problems. A more adequate mathematical theory is then presented for lexicographic optimization in this paper.

Original languageEnglish
Pages76-79
Number of pages4
StatePublished - 1996
Externally publishedYes
EventProceedings of the 1996 2nd IEEE International Conference on Engineering of Complex Computer Systems - Montreal, Can
Duration: 21 10 199625 10 1996

Conference

ConferenceProceedings of the 1996 2nd IEEE International Conference on Engineering of Complex Computer Systems
CityMontreal, Can
Period21/10/9625/10/96

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