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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 an assumption that the criteria are incomparable. However, there are many applications in which the criteria express ideas of allocation of resources meant to achieve some equitable distribution. This paper focuses on solving linear multiple criteria optimization problems with uniform criteria treated in an equitable way. An axiomatic definition of equitable efficiency is introduced as an refinement of Pareto-optimality. Various generation techniques are examined and the structure 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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