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Operations Research Transactions >

2015 , Vol. 19 >Issue 3: 42 - 47

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2015.03.006

On parametric representations of the efficient set of multiple objective mathematical programming problems

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  • 1. Senior Energy Market Specialist,  Southern California Edison,  Rosemead,  CA 91770, USA

Received date: 2015-04-24

  Online published: 2015-09-15

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Abstract

In this paper we present some new results that characterize the efficient solutions of a p-dimensional multiple objective mathematical programming (MOMP). These characterizations are in terms of the optimal solutions of appropriate scalar optimization problems or in terms of efficient solutions of appropriate (p-1)-dimensional parametric MOMP.

Key words： multiple objective mathematical programming; efficient set; weakly efficient set; parametric representations

Cite this article

SUN Erjiang . On parametric representations of the efficient set of multiple objective mathematical programming problems[J]. Operations Research Transactions, 2015 , 19(3) : 42 -47 . DOI: 10.15960/j.cnki.issn.1007-6093.2015.03.006

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