Efficiency analysis, generating an efficient extreme point for multiple objective linear programming, and some comparisons

Efficiency analysis, generating an efficient extreme point for multiple objective linear programming, and some comparisons

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Article ID: iaor2007488
Country: Netherlands
Volume: 162
Issue: 2
Start Page Number: 991
End Page Number: 1005
Publication Date: Mar 2005
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: programming: linear, programming: multiple criteria
Abstract:

This paper starts with analyzing efficiency of an alternative in a multi objective problem. By combination of concepts in data envelopment analysis (DEA) and multiple objective linear programming (MOLP), we search a composite alternative to compare with a given alternative and assess its efficiency in an MOLP problem. In addition to some results, this leads us to produce some procedures for generating an initial efficient extreme point to an MOLP problem. We compare our procedures with some other existing methods and exhibit some advantages of our methods. In addition, we consider some models of DEA as MOLP problems and use them to illustrate some contents of the paper, which also appears some analogies between these areas.

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