Multicriteria approach to data envelopment analysis

With the aim of making Data Envelopment Analysis (DEA) more acceptable to the managers’ community, the Weights Restrictions approaches were born. They allow DEA to not dispose of any data and permit the Decision Maker (DM) to have some management over the method. The purpose of this paper is to suggest a Weights Restrictions DEA model that incorporates the DM preference. In order to perform that, we employed the MACBETH methodology as a tool to find out the bounds of the weights to be used in a Weights Restrictions approach named Virtual Weights Restrictions. Our proposal achieved an outcome that has an expressive correlation with three widely used decision-aids methodologies: the ELECTRE III, the SMART and the PROMETHEE I and II. In addition, our approach was able to join the most significant outcomes of all the above three Multicriteria decisionaids methodologies in one unique outcome.

[1]  Emmanuel Thanassoulis,et al.  Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions , 1997, Ann. Oper. Res..

[2]  Pekka Salminen,et al.  Choosing a solid waste management system using multicriteria decision analysis , 1997 .

[3]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[4]  Risto Lahdelma,et al.  Comparing multicriteria methods in the context of environmental problems , 1998 .

[5]  Kaoru Tone,et al.  A comparative site evaluation study for relocating Japanese government agencies out of Tokyo , 2003 .

[6]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[7]  Zilla Sinuany-Stern,et al.  An AHP/DEA methodology for ranking decision making units , 2000 .

[8]  David L. Olson,et al.  Comparison of three multicriteria methods to predict known outcomes , 2001, Eur. J. Oper. Res..

[9]  Barton A. Smith,et al.  Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas , 1986 .

[10]  Chun-Chu Liu Simulating weight restrictions in data envelopment analysis using the subjective and objective integrated approach , 2006 .

[11]  M. P. Estellita Lins,et al.  Avoiding infeasibility in DEA models with weight restrictions , 2007, Eur. J. Oper. Res..

[12]  John E. Beasley,et al.  Restricting Weight Flexibility in Data Envelopment Analysis , 1990 .

[13]  João Carlos C. B. Soares De Mello,et al.  Evaluating the performance of calculus classes using operational research tools , 2002 .

[14]  Toshiyuki Sueyoshi,et al.  A unified framework for the selection of a Flexible Manufacturing System , 1995 .

[15]  Russell G. Thompson,et al.  The role of multiplier bounds in efficiency analysis with application to Kansas farming , 1990 .