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Linear optimizationwith multiple equitable criteria

Published online by Cambridge University Press:  15 August 2002

Michael M. Kostreva  and
Wodzimierz Ogryczak
Michael M. Kostreva
Affiliation:
Clemson University, Mathematical Sciences, Clemson, South Carolina, SC 29634, U.S.A.
Wodzimierz Ogryczak
Affiliation:
Warsaw University, Mathematics & Computer Science, 02-097 Warsaw, Poland.
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Abstract

The standard multiple criteria optimization starts with anassumption that the criteria are incomparable. However, there are manyapplications in which the criteria express ideas of allocation ofresources meant to achieve some equitable distribution. This paperfocuses on solving linear multiple criteria optimization problems withuniform criteria treated in an equitable way. An axiomatic definition ofequitable efficiency is introduced as an refinement ofPareto-optimality. Various generation techniques are examined and thestructure of the equitably efficient set is analyzed.

Keywords

Multiple criterialinear programmingefficiencyequity.
Type
Research Article
Information
RAIRO - Operations Research , Volume 33 , Issue 3 , July 1999 , pp. 275 - 297
Copyright
© EDP Sciences, 1999

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