DEA based multiple criteria evaluation and the cross efficiency method for units ranking

Ke Wang*, Fa Jie Wei

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Data envelopment analysis (DEA) method was originally designed to evaluate the efficiency of decision making units (DMUs), and it classifies the units merely into two dichotomic groups: efficient and inefficient ones. The purpose of the paper is to combine the multiple criteria evaluation problem with DEA and to fully rank the evaluation units from the most efficient to the least efficient ones as classified by DEA. In this paper we propose a new cross efficiency DEA based model for multiple criteria evaluation. The method could solve multiple criteria evaluation problem, which includes three types of index (cost, benefit, and fixed), and provide a full ranking of the efficient and inefficient units based on the cross efficiency score. Two types of secondary goal formulations (aggressive and benevolent) are introduced in this cross efficiency method in order to deal with the non uniqueness of the optimal solution issue. We compare the performances of aggressive, benevolent, and arbitrary cross efficiency models with that of the simple efficiency model and come to a conclusion that the cross efficiency model is a good surrogate for the simple efficiency model in multiple criteria evaluation, and the aggressive cross efficiency model is better than the arbitrary one. We also demonstrate these methods for evaluation and full ranking through an example.

Original languageEnglish
Title of host publication2008 International Conference on Management Science and Engineering 15th Annual Conference Proceedings, ICMSE
Pages161-166
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event2008 International Conference on Management Science and Engineering 15th Annual Conference, ICMSE - Long Beach, CA, United States
Duration: 10 Sept 200812 Sept 2008

Publication series

Name2008 International Conference on Management Science and Engineering 15th Annual Conference Proceedings, ICMSE

Conference

Conference2008 International Conference on Management Science and Engineering 15th Annual Conference, ICMSE
Country/TerritoryUnited States
CityLong Beach, CA
Period10/09/0812/09/08

Keywords

  • Cross efficiency
  • Data envelopment analysis
  • Multiple criteria evaluation
  • Ranking

Fingerprint

Dive into the research topics of 'DEA based multiple criteria evaluation and the cross efficiency method for units ranking'. Together they form a unique fingerprint.

Cite this