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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 747596, 8 pages
http://dx.doi.org/10.1155/2014/747596
Research Article

Game Cross Efficiency for Systems with Two-Stage Structures

1School of Business Administration, Hunan University, Changsha 410082, China
2Kent Business School, University of Kent, Canterbury CT2 7PE, UK

Received 14 December 2013; Accepted 13 January 2014; Published 4 March 2014

Academic Editor: Pu-yan Nie

Copyright © 2014 Chaoqun Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Charnes, W. W. Cooper, and E. Rhodes, “Measuring the efficiency of decision making units,” European Journal of Operational Research, vol. 2, no. 6, pp. 429–444, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. K. Nakabayashi and K. Tone, “Egoist's dilemma: a DEA game,” Omega, vol. 34, no. 2, pp. 135–148, 2006. View at Publisher · View at Google Scholar · View at Scopus
  3. Z. Zhou, L. Zhao, S. Lui, and C. Ma, “A generalized fuzzy DEA/AR performance assessment model,” Mathematical and Computer Modelling, vol. 55, no. 11-12, pp. 2117–2128, 2012. View at Publisher · View at Google Scholar
  4. Z. Zhou, S. Lui, C. Ma, D. Liu, and W. Liu, “Fuzzy data envelopment analysis models with assurance regions: a note,” Expert Systems with Applications, vol. 39, no. 2, pp. 2227–2231, 2012. View at Publisher · View at Google Scholar
  5. Z. Zhou, W. Yang, C. Ma, and W. Liu, “A comment on, “A comment on ‘A fuzzy DEA/AR approach to the selection of flexible manufacturing systems’” and, ‘A fuzzy DEA/AR approach to the selection of flexible manufacturing systems’,” Computers & Industrial Engineering, vol. 59, no. 4, pp. 1019–1021, 2010. View at Publisher · View at Google Scholar
  6. S. Lozano, “DEA production games,” European Journal of Operational Research, vol. 231, no. 2, pp. 405–413, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  7. Z. Zhou, M. Wang, H. Ding, C. Ma, and W. Liu, “Further study of production possibility set and performance evaluation model in supply chain DEA,” Annals of Operations Research, vol. 206, no. 1, pp. 585–592, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. W. D. Cook, L. Liang, and J. Zhu, “Measuring performance of two-stage network structures by DEA: a review and future perspective,” Omega, vol. 38, no. 6, pp. 423–430, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. L. M. Seiford and J. Zhu, “Profitability and marketability of the top 55 U.S. commercial banks,” Management Science, vol. 45, no. 9, pp. 1270–1288, 1999. View at Google Scholar · View at Scopus
  10. C. Kao and S.-N. Hwang, “Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan,” European Journal of Operational Research, vol. 185, no. 1, pp. 418–429, 2008. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Chen, W. D. Cook, N. Li, and J. Zhu, “Additive efficiency decomposition in two-stage DEA,” European Journal of Operational Research, vol. 196, no. 3, pp. 1170–1176, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Färe and S. Grosskopf, “Productivity and intermediate products: a frontier approach,” Economics Letters, vol. 50, no. 1, pp. 65–70, 1996. View at Publisher · View at Google Scholar · View at Scopus
  13. L. Liang, W. D. Cook, and J. Zhu, “DEA models for two-stage processes: game approach and efficiency decomposition,” Naval Research Logistics, vol. 55, no. 7, pp. 643–653, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. J. Du, L. Liang, Y. Chen, W. D. Cook, and J. Zhu, “A bargaining game model for measuring performance of two-stage network structures,” European Journal of Operational Research, vol. 210, no. 2, pp. 390–397, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. C. Kao, “Efficiency decomposition in network data envelopment analysis: a relational model,” European Journal of Operational Research, vol. 192, no. 3, pp. 949–962, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. Z. Zhou, L. Sun, W. Yang, W. Liu, and C. Ma, “A bargaining game model for efficiency decomposition in the centralized model of two-stage systems,” Computers & Industrial Engineering, vol. 64, no. 1, pp. 103–108, 2013. View at Google Scholar
  17. G. N. Gregoriou, F. Rouah, S. Satchell, and F. Diz, “Simple and cross efficiency of CTAs using data envelopment analysis,” European Journal of Finance, vol. 11, no. 5, pp. 393–409, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. J. Wu, J. Sun, L. Liang, and Y. Zha, “Determination of weights for ultimate cross efficiency using Shannon entropy,” Expert Systems with Applications, vol. 38, no. 5, pp. 5162–5165, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. M. Falagario, F. Sciancalepore, N. Costantino, and R. Pietroforte, “Using a DEA-cross efficiency approach in public procurement tenders,” European Journal of Operational Research, vol. 218, no. 2, pp. 523–529, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. T. R. Sexton, R. H. Silkman, and A. J. Hogan, “Data envelopment analysis: critique and extensions,” New Directions for Program Evaluation, vol. 1986, no. 32, pp. 73–105, 1986. View at Google Scholar
  21. J. Doyle and R. Green, “Efficiency and cross-efficiency in DEA: derivations, meanings and uses,” Journal of the Operational Research Society, vol. 45, no. 5, pp. 567–578, 1994. View at Google Scholar · View at Scopus
  22. L. Liang, J. Wu, W. D. Cook, and J. Zhu, “The DEA game cross-efficiency model and its Nash equilibrium,” Operations Research, vol. 56, no. 5, pp. 1278–1288, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  23. J. Wu, L. Liang, and Y.-C. Zha, “Determination of the weights of ultimate cross efficiency based on the solution of nucleolus,” System Engineering Theory and Practice, vol. 28, no. 5, pp. 92–97, 2008. View at Google Scholar · View at Scopus
  24. H. H. Örkcü and H. Bal, “Goal programming approaches for data envelopment analysis cross efficiency evaluation,” Applied Mathematics and Computation, vol. 218, no. 2, pp. 346–356, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. J. Wu, J. Sun, and L. Liang, “Cross efficiency evaluation method based on weight-balanced data envelopment analysis model,” Computers & Industrial Engineering, vol. 63, no. 2, pp. 513–519, 2012. View at Google Scholar
  26. A. Charnes and W. W. Cooper, “Programming with linear fractional functionals,” Naval Research Logistics Quarterly, vol. 9, pp. 181–186, 1962. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet