150
Views
6
CrossRef citations to date
0
Altmetric
Articles

A directional distance function approach to void the non-Archimedean in DEAFootnote

&
Pages 772-775 | Received 11 Jun 2015, Accepted 02 Jun 2017, Published online: 16 Jan 2018

References

  • Ali, A. I., & Seiford, L. M. (1993). Computational accuracy and infinitesimals in data envelopment analysis. Information Systems and Operational Research, 31(4), 290–297.
  • Alirezaee, M. R. (2005). The overall assurance interval for the non- Archimedean epsilon in DEA models: a partition base algorithm. Applied Mathematics and Computation, 164(3), 667–674.
  • Amin, G. R., & Toloo, M. (2004). A polynomial-time algorithm for finding in DEA models. Computers and Operations Research, 31(5), 803–805.
  • Charnes, A., Cooper, W. W., & Rhodes, E. (1979). Short communication: Measuring the efficiency of decision-making units. European Journal of Operational Research, 3(4), 339.
  • Cooper, W. W., Seiford, L. M., & Tone, K. (2006). Introduction to data envelopment analysis and its uses: With DEA-Solver software and references. New York, NY: Springer.
  • Färe, R., & Grosskopf, S. (2010a). Directional distance functions and slacks-based measures of efficiency. European Journal of Operational Research, 200(1), 320–322.
  • Färe, R., & Grosskopf, S. (2010b). Directional distance functions and slacks-based measures of efficiency: Some clarifications. European Journal of Operational Research, 206(3), 702.
  • Färe, R., Grosskopf, S., & Margaritis, D. (2016). Advances in Data Envelopment Analysis. Singapore: World Scientific.
  • Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society: Series A, 120(3), 253–281.
  • Jahanshahloo, G. R., & Khodabakhshi, M. (2004). Determining assurance interval for non-Archimedean element in the improving outputs model in DEA. Applied Mathematics and Computation, 151(2), 501–506.
  • Mehrabian, S., Jahanshahloo, G. R., Alirezaee, M. R., & Amin, G. R. (2000). An assurance interval of the non-Archimedean epsilon in DEA models. Operations Research, 48(2), 344–347.
  • Podinovski, V. V., & Bouzdine-Chameeva, T. (2017). Solving DEA models in a single optimization stage: Can the non-Archimedean infinitesimal be replaced by a small finite epsilon? European Journal of Operational Research, 257(2), 412–419.
  • Thompson, R. G., Dharmapala, P. S., & Thrall, R. M. (1993). Importance for DEA of zeros in data and multipliers. Journal of Productivity Analysis, 4(4), 379–390.
  • Tone, K. (1993). An epsilon-free DEA and a new measure of efficiency. Journal of the Operations Research Society of Japan, 36(3), 167–174.
  • Zieschang, D. K. (1984). An extended Farrell technical efficiency measure. Journal of Economic Theory, 33(2), 387–396.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.