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Performance Measurement In Multi Objective Combinatorial Optimization

ABSTRACT
PERFORMANCE MEASUREMENT IN MULTI OBJECTIVE COMBINATORIAL
OPTIMIZATION
Bozkurt, Bilge
M.Sc., Department of Industrial Engineering
Supervisor: Prof. Dr. Murat K&ouml / ksalan
September 2007, 96 pages
In this study we address the problem of measuring the quality of different sets of
nondominated solutions obtained by different approaches in multi objective
combinatorial optimization (MOCO). We propose a new measure that quantitatively
compares the sets of nondominated solutions, without needing an efficient frontier.
We develop the measure for bi-criteria and more than two criteria cases separately.
Rather than considering only the supported solutions in the evaluation, the measure
captures both supported and unsupported solutions through utilizing weighted
Tchebycheff function characteristics. We also adapt this method for determining the
neighborhood relations on the weight space for both bi-criteria and more than two
criteria cases. We check the consistency of the neighborhood assumption on the
objective space with the neighborhood relations on the weight space by this measure
and obtain highly good results.
Keywords: Multi objective combinatorial optimization, performance measurement

Identiferoai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/2/12608843/index.pdf
Date01 September 2007
CreatorsBozkurt, Bilge
ContributorsKoksalan, Murat
PublisherMETU
Source SetsMiddle East Technical Univ.
LanguageEnglish
Detected LanguageEnglish
TypeM.S. Thesis
Formattext/pdf
RightsTo liberate the content for METU campus

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