Cross-efficiency evaluation capable of dealing with negative data: A directional distance function based approach

References

• Ali, A. I., & Seiford, L. M. (1990). Translation-invariance in data envelopment analysis. Operations Research Letters, 9(6), 403–405. doi:10.1016/0167-6377(90)90061-9
   Web of Science ®Google Scholar
• Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in data envelopment analysis. Management Science, 39(10), 1261–1264. doi:10.1287/mnsc.39.10.1261
   Web of Science ®Google Scholar
• Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30(9), 1078–1092. doi:10.1287/mnsc.30.9.1078
   Web of Science ®Google Scholar
• Chambers, R. G., Chung, Y., & Färe, R. (1996). Benefit and distance functions. Journal of Economic Theory, 70(2), 407–419. doi:10.1006/jeth.1996.0096
   Web of Science ®Google Scholar
• Charnes, A., Clark, T., Cooper, W. W., & Golany, B. (1984). A developmental study of data envelopment analysis in measuring the efficiency of maintenance units in US Air forces. Annals of Operations Research, 2(1), 95–112. doi:10.1007/BF01874734
   Google Scholar
• Charnes, A., Cooper, W. W., & Rhodes, E. L. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444. doi:10.1016/0377-2217(78)90138-8
   Web of Science ®Google Scholar
• Chen, T. Y. (2002). An assessment of technical efficiency and cross efficiency in Taiwan’s electricity distribution sector. European Journal of Operational Research, 137(2), 421–433. doi:10.1016/S0377-2217(01)00101-1
   Web of Science ®Google Scholar
• Chen, Y., Du, J., & Huo, J. (2013). Super-efficiency based on a modified directional distance function. OMEGA, 41(3), 621–625. doi:10.1016/j.omega.2012.06.006
   Web of Science ®Google Scholar
• Cheng, G., Zervopoulos, P., & Qian, Z. (2013). A variant of radial measure capable of dealing with negative inputs and outputs in data envelopment analysis. European Journal of Operational Research, 225(1), 100–105.
   Web of Science ®Google Scholar
• Doyle, J., & Green, R. (1994). Efficiency and cross-efficiency in DEA: Derivations, meanings and uses. Journal of the Operations Research Society, 45(5), 567–578.
   Web of Science ®Google Scholar
• Emrouznejad, A., Anouze, A. L., & Thanassoulis, E. (2010). A semi-oriented radial measure for measuring the efficiency of decision making units with negative data, using DEA. European Journal of Operational Research, 200(1), 297–304. doi:10.1016/j.ejor.2009.01.001
   Web of Science ®Google Scholar
• Falagario, M., Sciancalepore, F., Costantino, N., & Pietroforte, R. (2012). Using a DEA cross efficiency approach in public procurement tenders. European Journal of Operational Research, 218(2), 523–529. doi:10.1016/j.ejor.2011.10.031
   Web of Science ®Google Scholar
• Green, R. H., Doyle, J. R., & Cook, W. D. (1996). Preference voting and project ranking using DEA and cross-evaluation. European Journal of Operational Research, 90(3), 461–472.
   Web of Science ®Google Scholar
• Kerstens, K., & Woestyne, I. V. D. (2011). Negative data in DEA: A simple proportional distance function approach. Journal of the Operational Research Society, 62(7), 1413–1419. doi:10.1057/jors.2010.108
   Web of Science ®Google Scholar
• Kerstens, K., & Woestyne, I. V. D. (2014). A note on a variant of radial measure capable of dealing with negative inputs and outputs in DEA. European Journal of Operational Research, 234(1), 341–342. doi:10.1016/j.ejor.2013.10.067
   Web of Science ®Google Scholar
• Lam, K. F., & Bai, F. (2011). Minimizing deviations of input and output weights from their means in data envelopment analysis. Computers & Industrial Engineering, 60(4), 527–533. doi:10.1016/j.cie.2010.12.007
   Web of Science ®Google Scholar
• Liang, L., Wu, J., Cook, W. D., & Zhu, J. (2008). Alternative secondary goals in DEA cross efficiency evaluation. International Journal of Production Economics, 113(2), 1025–1030.
   Web of Science ®Google Scholar
• Lim, S., & Zhu, J. (2015). DEA cross-efficiency evaluation under variable returns to scale. Journal of the Operational Research Society, 66(3), 476–487. doi:10.1057/jors.2014.13
   Web of Science ®Google Scholar
• Lin, R., & Chen, Z. (2017). A directional distance based super-efficiency DEA model handling negative data. Journal of the Operational Research Society, 68(11), 1312–1322. doi:10.1057/s41274-016-0137-8
   Web of Science ®Google Scholar
• Lin, R., Chen, Z., & Xiong, W. (2016). An iterative method for determining weights in cross efficiency evaluation. Computers & Industrial Engineering, 101, 91–102. doi:10.1016/j.cie.2016.08.024
   Web of Science ®Google Scholar
• Lovell, C. A. K., & Pastor, J. T. (1995). Units invariant and translation invariant DEA models. Operations Research Letters, 18(3), 147–151. doi:10.1016/0167-6377(95)00044-5
   Web of Science ®Google Scholar
• Mohammadpour, M., Hosseinzadeh-Lotfi, F., & Jahanshahloo, G. R. (2015). An extended slacks-based measure model for data envelopment analysis with negative data. Journal of the Operational Research Society, 66(7), 1206–1211. doi:10.1057/jors.2014.86
   Web of Science ®Google Scholar
• Pastor, J. T. (1996). Translation invariance in data envelopment analysis: A generalization. Annals of Operations Research, 66(2), 91–102. doi:10.1007/BF02187295
   Google Scholar
• Portela, M. C. A. S., Thanassoulis, E., & Simpson, G. (2004). Negative data in DEA: A directional distance approach applied to bank branches. Journal of the Operational Research Society, 55(10), 1111–1121. doi:10.1057/palgrave.jors.2601768
   Web of Science ®Google Scholar
• Ray, S. C. (2008). The directional distance function and measurement of super-efficiency: An application to airlines data. Journal of the Operational Research Society, 59(6), 788–797. doi:10.1057/palgrave.jors.2602392
   Web of Science ®Google Scholar
• Ruiz, J. L. (2013). Cross-efficiency evaluation with directional distance functions. European Journal of Operational Research, 228(1), 181–189. doi:10.1016/j.ejor.2013.01.030
   Web of Science ®Google Scholar
• Ruiz, J. L., & Sirvent, I. (2012). On the DEA total weight flexibility and the aggregation in cross-efficiency evaluations. European Journal of Operational Research, 223(3), 732–738. doi:10.1016/j.ejor.2012.06.011
   Web of Science ®Google Scholar
• Scheel, H. (2001). Undesirable outputs in efficiency valuations. European Journal of Operational Research, 132(2), 400–410. doi:10.1016/S0377-2217(00)00160-0
   Web of Science ®Google Scholar
• Sexton, T. R., Silkman, R. H., & Hogan, A. J. (1986). Data envelopment analysis: Critique and extensions. In R. H. Silkman (Ed.), Measuring efficiency: An assessment of data envelopment analysis (pp.73–105). San Francisco, CA: Jossey-Bass. doi:10.1002/ev.1441
   Google Scholar
• Sharp, J. A., Meng, W., & Liu, W. (2007). A modified slacks-based measure model for data envelopment analysis with ‘natural’ negative outputs and inputs. Journal of the Operational Research Society, 58(12), 1672–1677. doi:10.1057/palgrave.jors.2602318
   Web of Science ®Google Scholar
• Wang, Y. M., Chin, K. S., & Jiang, P. (2011). Weight determination in the cross-efficiency evaluation. Computers & Industrial Engineering, 61(3), 497–502. doi:10.1016/j.cie.2011.04.004
   Web of Science ®Google Scholar
• Wang, Y. M., Chin, K. S., & Wang, S. (2012). DEA models for minimizing weight disparity in cross-efficiency evaluation. Journal of the Operational Research Society, 63(3), 1079–1088. doi:10.1057/jors.2011.116
   Web of Science ®Google Scholar
• Wu, J., Liang, L., & Yang, F. (2009). Achievement and benchmarking of countries at the summer Olympics using cross efficiency evaluation method. European Journal of Operational Research, 197(2), 722–730.
   Web of Science ®Google Scholar
• Wu, J., Sun, J., & Liang, L. (2012a). DEA cross-efficiency aggregation method based upon Shannon entropy. International Journal of Production Research, 50(23), 6726–6736.
   Web of Science ®Google Scholar
• Wu, J., Sun, J., & Liang, L. (2012b). Cross efficiency evaluation method based on weight-balanced data envelopment analysis model. Computers & Industrial Engineering, 63(2), 513–519. doi:10.1016/j.cie.2012.04.017
   Web of Science ®Google Scholar