Efficiency analysis, generating an efficient extreme point for an MOLP, and some comparisons

摘要

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.