Pitfalls and Remedies in DEA Applications: How to Handle an Occurrence of Zero in Multipliers by Strong Complementary Slackness Conditions

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References

[1] F. Glover and T. Sueyoshi, “Contributions of Professor William W. Cooper in Operations Research and Management Science,” European Journal of Operational Research, Vol. 197, No. 1, 2009, pp. 1-16.
doi:10.1016/j.ejor.2008.08.011

[2] Y. Ijiri and T. Sueyoshi, “Revisiting Accounting Essays by William W. Cooper: In Commemorating His 95th Birthday,” ABACUS: A Journal of Accounting, Finance and Business Studies, Vol. 46, No. 4, 2010, pp. 464-505.

[3] A. Charnes, W. W. Cooper and R. M. Thrall, “A Structure for Classifying and Charactering Efficiency and Inefficiency in Data Envelopment Analysis,” Journal of Productivity Analysis, Vol. 2, No. 2, 1991, pp. 197-237.
doi:10.1007/BF00159732

[4] M. D. Gonzalez-Lima, R. A. Tapia and R. M. Thrall, “On the Construction of Strong Complementarity Slackness Solutions for DEA Linear Programming Problems Using a Primal-Dual Interior-point Method,” Annals of Operations Research, Vol. 66, No. 1, 1996, pp. 139-162.
doi:10.1007/BF02187298

[5] W. W. Cooper, L. S. Seiford and K. Tone, “Introduction to Data Envelopment Analysis and Its Uses with DEASolver Software and References,” Springer, New York, 2006.

[6] T. Sueyoshi and K. Sekitani, “Measurement of Returns to Scale by a Non-Radial DEA Model: A Range-Adjusted Measure Model,” European Journal of Operational Research, Vol. 176, No. 3, 2007, pp. 1918-1946.
doi:10.1016/j.ejor.2005.10.043

[7] T. Sueyoshi and K. Sekitani, “The Measurement of Returns to Scale under a Simultaneous Occurrence of Multiple Solutions in a Reference Set and a Supporting Hyperplane,” European Journal of Operational Research, Vol. 181, No. 2, 2007, pp. 549-570.
doi:10.1016/j.ejor.2006.05.042

[8] T. Sueyoshi and K. Sekitani, “An Occurrence of Multiple Projections in DEA-Based Measurement of Technical Efficiency: Theoretical Comparison among DEA Models from Desirable Properties,” European Journal of Operational Research, Vol. 196, No. 2, 2009, pp. 764-794.
doi:10.1016/j.ejor.2008.01.045

[9] R. G. Thompson, P. S. Dharmapala and R. M. Thrall, “Importance for DEA of Zero, Multipliers and Solutions,” Journal of Productivity Analysis, Vol. 4, No. 2, 1993, pp. 379-390. doi:10.1007/BF01073546

[10] R. G. Thompson, F. D. Singleton, R. M. Thrall and B. A. Smith, “Comparative Site Evaluation for Locating a HighEnergy Physics Lab in Texas,” Interface, Vol. 16, No. 6, 1986, pp. 35-49. doi:10.1287/inte.16.6.35

[11] A. Charnes, W. W. Cooper, Q. L. Wei and Z. M. Huang, “Cone Ratio Data Envelopment Analysis and Multi-Objective Programming,” International Journal of System Science, Vol. 20, No. 5, 1989, pp. 1099-1118.
doi:10.1080/00207728908910197

[12] A. Emrouznejad and G. R. Amin, “DEA Models for a Ratio Data: Convexity Consideration,” Applied Mathematical Modelling, Vol. 33, No. 1, 2009, pp. 486-498.
doi:10.1016/j.apm.2007.11.018

[13] N. A. Tran, G. Shively and P. Preckel, “A New Method for Detecting Outliers in Data Envelopment Analysis,” Applied Economics Letters, Vol. 15, No. 1, 2008, pp. 1-4.

[14] W. W. Cooper, K. S. Park and G. Yu, “IDEA and ARIDEA: Models for Dealing with Imprecise Data in DEA,” Management Science, Vol. 45, No. 4, 1999, pp. 597-607.
doi:10.1287/mnsc.45.4.597

[15] T. Sueyoshi and M. Goto, “A Use of DEA-DA to Measure Importance of R&D Expenditure in Japanese Information Technology Industry,” Decision Support Systems, Vol. 54, No. 2, 2013, pp. 941-952.
doi:10.1016/j.dss.2012.09.017

[16] T. Sueyoshi and T. Honda, “DEA Network Computing in Multi-Stage Parallel Processes,” International Transactions in Operational Research, Vol. 10, No. 3, 2003, pp. 217-244. doi:10.1111/1475-3995.00405

[17] T. Sueyoshi, “Algorithmic Strategy for Assurance Region Analysis in DEA,” Journal of the Operations Research Society of Japan, Vol. 35, No. 1, 1991, pp. 62-76.

[18] T. Sueyoshi, “Measuring Technical, Allocative and Overall Efficiencies Using DEA Algorithm,” Journal of the Operational Research Society, Vol. 43, No. 2, 1992, pp. 141-155.

[19] T. Sueyoshi and K. Sekitani, “Computational Strategy for Russell Measure in DEA: Second-Order Cone Programming,” European Journal of Operational Research, Vol. 180, No. 1, 2007, pp. 459-471.
doi:10.1016/j.ejor.2006.02.042