On duality in multiple objective linear programming

Dinh The Luc

European Journal of Operational Research, 2011, vol. 210, issue 2, 158-168

Abstract: In this paper we present two approaches to duality in multiple objective linear programming. The first approach is based on a duality relation between maximal elements of a set and minimal elements of its complement. It offers a general duality scheme which unifies a number of known dual constructions and improves several existing duality relations. The second approach utilizes polarity between a convex polyhedral set and the epigraph of its support function. It leads to a parametric dual problem and yields strong duality relations, including those of geometric duality.

Keywords: Multiple; objective; linear; problem; Duality; Normal; cone (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:210:y:2011:i:2:p:158-168

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