Abstract
Constrained facet analysis is used to evaluate decision making units (DMUs) which have non-zero slacks in data envelopment analysis (DEA) by requiring a full dimensional efficient facet (FDEF). The current paper shows that the FDEF-based approach may deem those extreme efficient DMUs which are not located on any FDEF as inefficient. Using strong complementary slackness condition (SCSC) solutions, this paper develops an alternative method for the treatment of non-zero slack values in DEA. The newly proposed method can deal with the situation when FDEFs do not exist.
Joe Zhu wants to thank the financial support from the Japan Society for Promotion of Science (JSPS). The paper was finished while Joe Zhu was visiting the Osaka University under the JSPS Invitation Research Fellowship.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bessent, A., Bessent, W., Elam, J., and Clark, T. (1988), “Efficiency frontier determination by constrained facet analysis”, Operations Research 36 /5, 785–796.
Chang, K.P., and Guh, Y.Y. (1991), “Linear production functions and data envelopment analysis ”, European Journal of Operational Research 52, 215–223.
Charnes, A., and Cooper, W.W. (1962), “Programming with linear fractional functions”, Naval Res. Logist. Quart. 9, 181–186.
Charnes, A., Cooper, W.W., and Rhodes, E. (1978), “Measuring the efficiency of decision making units”, European Journal of Operational Research 2 /6, 429–444.
Charnes, A., Cooper, W.W., and Thrall, R.M. (1991), “A structure for classifying and characterizing efficiency and inefficiency in data envelopment analysis”, Journal of Productivity Analysis 2, 197–237.
Green, R.H., Doyle, J.R., and Cook, W.D. (1996), “Efficiency bounds in data envelopment analysis”, European Journal of Operational Research 89, 482–490.
Roll, Y., Cook, W.D. and Golany, B. (1991), “Controlling factor weights in data envelopment analysis”, IIE Transaction 23, 2–9.
Seiford, L.M. and J. Zhu (1999), “Infeasibility of super-efficiency data envelopment analysis models,” INFOR 37 (May) 174–187.
Thrall, R. M. (1996), “Duality, classification and slacks in DEA,” Annals of Operations Research 66 109–138.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, Y., Morita, H., Zhu, J. (2003). An Approach for Determining DEA Efficiency Bounds. In: Multi-Objective Programming and Goal Programming. Advances in Soft Computing, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36510-5_12
Download citation
DOI: https://doi.org/10.1007/978-3-540-36510-5_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00653-4
Online ISBN: 978-3-540-36510-5
eBook Packages: Springer Book Archive