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Advances in Operations Research
Volume 2011, Article ID 424989, 17 pages
http://dx.doi.org/10.1155/2011/424989
Research Article

Visualizing Production Surfaces in 3D Diagrams

Department of Finance, University of Graz, Universitätsstraße 15, G2, 8010 Graz, Austria

Received 17 January 2011; Accepted 14 June 2011

Academic Editor: Lars Mönch

Copyright © 2011 I. Seidl and M. Sommersguter-Reichmann. 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. M. J. Farrell, “The measurement of productive efficiency,” Journal of the Royal Statistical Society A, vol. 120, pp. 253–281, 1957. View at Publisher · View at Google Scholar
  2. 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 Scopus
  3. R. Färe, S. Grosskopf, and J. Logan, “The relative efficiency of Illinois electric utilities,” Resources and Energy, vol. 5, no. 4, pp. 349–367, 1983. View at Publisher · View at Google Scholar · View at Scopus
  4. R. D. Banker, A. Charnes, and W. W. Cooper, “Some models for estimating technical and scale inefficiencies in data envelopment analysis,” Management Science, vol. 30, no. 9, pp. 1078–1093, 1984. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. L. M. Seiford, “A cyber-bibliography for data envelopment analysis (1978–1999),” in Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software, W. W. Cooper, L. M. Seiford, and K. Tone, Eds., CD-Rom, London, UK, 2000. View at Google Scholar
  6. A. Ali and L. M. Seiford, “The mathematical programming approach to efficiency analysis,” in The Measurement of Productive Efficiency, H. O. Fried, C. A. K. Lovell, and S. S. Schmidt, Eds., pp. 120–159, Oxford University Press, Oxford, UK, 1993. View at Google Scholar
  7. W. W. Cooper, L. M. Seiford, and K. Tone, Data Envelopment Analysis. A Comprehensive Text with Models, Applications, References and DEA-Solver Software, London, UK, 2000.
  8. D. Deprins, L. Simar, and H. Tulkens, “Measuring labor-efficiency in post offices,” in The Performance of Public Enterprises. Concept and Measurement, M. Marchand, P. Pestieau, and H. Tulkens, Eds., pp. 243–267, North Holland, Amsterdam, The Netherlands, 1984. View at Google Scholar
  9. R. D. Banker and A. Maindiratta, “Piecewise loglinear estimation of efficient production surfaces,” Management Science, vol. 32, no. 1, pp. 126–135, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  10. T. C. Koopmans, Activity Analysis of Production and Allocation, New York, NY, USA, 1951.
  11. G. Debreu, “The coefficient of resource utilization,” Econometrica, vol. 19, pp. 273–292, 1951. View at Google Scholar · View at Zentralblatt MATH
  12. P. Byrnes and V. Valdmanis, “Analyzing technical and allocative efficiency of hospitals,” in Data Envelopement Analysis Theory, Methodology and Applications, A. Charnes, W. Cooper, A. Lewin, and L. Seiford, Eds., Kluwer Academic Publishers, 1997. View at Google Scholar
  13. G. R. Jahanshahloo, F. H. Lotfi, H. Z. Rezai, and F. R. Balf, “Finding strong defining hyperplanes of production possibility set,” European Journal of Operational Research, vol. 177, no. 1, pp. 42–54, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. G. R. Jahanshahloo, A. Shirzadi, and S. M. Mirdehghan, “Finding strong defining hyperplanes of PPS using multiplier form,” European Journal of Operational Research, vol. 194, no. 3, pp. 933–938, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. G. R. Jahanshahloo, F. H. Lotfi, and D. Akbarian, “Finding weak defining hyperplanes of PPS of the BCC model,” Applied Mathematical Modelling, vol. 34, no. 11, pp. 3321–3332, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  16. I. Seidl, Data envelopment analysis visualisiert in 3D-diagrammen, M.S. thesis, Graz, 2008.
  17. C. B. Barber, D. P. Dobkin, and H. Huhdanpaa, “The quickhull algorithm for convex hulls,” ACM Transactions on Mathematical Software, vol. 22, no. 4, pp. 469–483, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  18. H. Ranjbar, F. H. Lotfi, M. Mozaffari, and J. Gerami, “Finding defining hyperplanes with variable returns to scale technology,” International Journal of Mathematical Analysis, vol. 3, no. 19, pp. 943–954, 2009. View at Google Scholar · View at Zentralblatt MATH