Generalized tolerance sensitivity and DEA metric sensitivity

Other literature type, Article English OPEN
Neralić, Luka; E. Wendell, Richard;
  • Publisher: Croatian Operational Research Society
  • Journal: Croatian Operational Research Review, volume 6, issue 1 (issn: 1848-0225, eissn: 1848-9931)
  • Publisher copyright policies & self-archiving
  • Identifiers: doi: 10.17535/crorr.2015.0014
  • Subject: DEA | Applied mathematics. Quantitative methods | metric | sensitivity; tolerance; DEA; metric; stability; Chebyshev | T57-57.97 | sensitivity | Chebyshev | tolerance | stability

This paper considers the relationship between Tolerance sensitivity analysis in optimization and metric sensitivity analysis in Data Envelopment Analysis (DEA). Herein, we extend the results on the generalized Tolerance framework proposed by Wendell and Chen and show ho... View more
  • References (24)
    24 references, page 1 of 3

    [1] Charnes A, Cooper W. W., Golany, L., Seiford, L. M. and Stutz, J. (1985). Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics, 30, 91-107. doi:10.1016/0304- 4076(85)90133-2.

    [2] 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. doi:10.1016/0377-2217(78)90138-8.

    [3] Charnes, A., Haag, S., Jaska, P. and Semple, J. (1992). Sensitivity of efficiency calculations in the additive model of data envelopment analysis. Journal of Systems Sciences, 23(5), 789-798. doi:10.1080/00207729208949248.

    [4] Charnes, A., and Neralić L. (1990). Sensitivity analysis of the additive model in data envelopment analysis. European Journal of Operational Research, 48, 332-341. doi:10.1016/0377-2217(90)90416-9.

    [5] Charnes, A., Rousseau, J. J., and Semple, J. (1996). Sensitivity and stability of efficiency classifications in data envelopment analysis. The Journal of Productivity Analysis, 7(1), 5-18. doi:10.1007/bf00158473.

    [6] Cook, W. D. and Sieford, L. M. (2009). Data Envelopment Analysis (DEA) - Thirty years on. European Journal of Operational Research, 192(1), 1-17. doi:10.1016/j.ejor.2008.01.032.

    [7] Cooper, W. W., Seiford, L. M. and Tone, K. (2007). Data Envelopment Analysis, 2nd Edition. New York: Springer.

    [8] Cooper, W. W., Li, S., Seiford, L. M., Tone, K., Thrall, R. M. and Zhu, J. (2001). Sensitivity and stability analysis in DEA: Some recent developments. Journal of Productivity Analysis, 15, 217-246.

    [9] Emrouznejad A. (2013) Data Envelopment Analysis homepages. [Accessed on 28 July 2011].

    [10] Filippi, C. (2005). A fresh view on the tolerance approach to sensitivity analysis in linear programming. European Journal of Operational Research, 167(1), 1-19. doi:10.1016/j.ejor.2004.01.050.

  • Related Organizations (2)
  • Metrics