Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (3): 42-47.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.006

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

SUN Erjiang1,*   

  1. 1. Senior Energy Market Specialist,  Southern California Edison,  Rosemead,  CA 91770, USA
  • Received:2015-04-24 Online:2015-09-15 Published:2015-09-15

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