On duality in multiple objective linear programming

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 constructio...

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Bibliographic Details
Published in:	European journal of operational research Vol. 210; no. 2; pp. 158 - 168
Main Author:	Luc, Dinh The
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 16.04.2011 Elsevier Elsevier Sequoia S.A
Series:	European Journal of Operational Research
Subjects:	Applied sciences Complement Construction Decision theory. Utility theory Duality Exact sciences and technology Linear programming Mathematical programming Mathematics Multiple objective Multiple objective linear problem Multiple objective linear problem Duality Normal cone Normal cone Operational research Operational research and scientific management Operational research. Management science Optimization Polarity Studies Multiple objective linear problem Normal cone Duality Polyhedron Cone Convex set Multiobjective programming Linear programming
ISSN:	0377-2217, 1872-6860
Online Access:	Get full text
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