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A game theoretic approach to modeling undesirable outputs and efficiency decomposition in data envelopment analysis

Mahdiloo, Mahdi, Tavana, Madjid, Farzipoor Saen, Reza and Noorizadeh, Abdollah 2014, A game theoretic approach to modeling undesirable outputs and efficiency decomposition in data envelopment analysis, Applied mathematics and computation, vol. 244, pp. 479-492, doi: 10.1016/j.amc.2014.07.035.

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Title A game theoretic approach to modeling undesirable outputs and efficiency decomposition in data envelopment analysis
Author(s) Mahdiloo, Mahdi
Tavana, Madjid
Farzipoor Saen, Reza
Noorizadeh, Abdollah
Journal name Applied mathematics and computation
Volume number 244
Start page 479
End page 492
Total pages 14
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2014-10-01
ISSN 0096-3003
Keyword(s) data envelopment analysis
undesirable outputs
technical efficiency
ecological efficiency
process environmental quality efficiency
Summary The changing economic conditions have challenged many organizations to search for more effective performance measurement methods. Data envelopment analysis (DEA) is a widely used mathematical programming approach for comparing the inputs and outputs of a set of homogeneous decision making units (DMUs) by evaluating their relative efficiency. Performance measurement in the conventional DEA is based on the assumptions that inputs should be minimized and outputs should be maximized. However, there are circumstances in real-world problems where some output variables should be minimized. We consider the concepts of technical efficiency (the ratio of the desirable outputs to inputs) and ecological efficiency (the ratio of the desirable outputs to undesirable outputs) in DEA. We then introduce a new measure called process environmental quality efficiency (the ratio of the inputs to the undesirable outputs) and use game theory to integrate these three different efficiency scores into one overall efficiency score. The cooperative and non-cooperative game theory concepts are used to integrate different efficiency ratios into a linear model. We also present a case study to exhibit the efficacy of the procedures and to demonstrate the applicability of the proposed models.
Language eng
DOI 10.1016/j.amc.2014.07.035
Field of Research 0102 Applied Mathematics
0103 Numerical And Computational Mathematics
Socio Economic Objective 0 Not Applicable
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2014, Elsevier
Persistent URL http://hdl.handle.net/10536/DRO/DU:30092313

Document type: Journal Article
Collection: Department of Information Systems and Business Analytics
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