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On single-stage DEA models with weight restrictions

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  • Podinovski, Victor V.
  • Bouzdine-Chameeva, Tatiana

Abstract

The literature on data envelopment analysis (DEA) often employs multiplier models that incorporate very small (theoretically infinitesimal) lower bounds on the input and output weights. Computational problems arising from the solution of such programs are well known. In this paper we identify an additional theoretical problem that may arise if such bounds are used in a multiplier model with weight restrictions. Namely, we show that the use of small lower bounds may lead to the identification of an efficient target with negative inputs. We suggest a corrected model that overcomes this problem.

Suggested Citation

  • Podinovski, Victor V. & Bouzdine-Chameeva, Tatiana, 2016. "On single-stage DEA models with weight restrictions," European Journal of Operational Research, Elsevier, vol. 248(3), pages 1044-1050.
    • Handle: RePEc:eee:ejores:v:248:y:2016:i:3:p:1044-1050
    DOI: 10.1016/j.ejor.2015.07.050
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    1. V V Podinovski, 2004. "Production trade-offs and weight restrictions in data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1311-1322, December.
    2. Amado, Carla Alexandra da Encarnação Filipe & Santos, Sérgio Pereira dos, 2009. "Challenges for performance assessment and improvement in primary health care: The case of the Portuguese health centres," Health Policy, Elsevier, vol. 91(1), pages 43-56, June.
    3. Podinovski, V.V., 2007. "Computation of efficient targets in DEA models with production trade-offs and weight restrictions," European Journal of Operational Research, Elsevier, vol. 181(2), pages 586-591, September.
    4. Joe Zhu (ed.), 2015. "Data Envelopment Analysis," International Series in Operations Research and Management Science, Springer, edition 127, number 978-1-4899-7553-9, September.
    5. Victor V. Podinovski, 2015. "DEA Models with Production Trade-offs and Weight Restrictions," International Series in Operations Research & Management Science, in: Joe Zhu (ed.), Data Envelopment Analysis, edition 127, chapter 5, pages 105-144, Springer.
    6. Santos, Sérgio P. & Amado, Carla A.F., 2014. "On the need for reform of the Portuguese judicial system – Does Data Envelopment Analysis assessment support it?," Omega, Elsevier, vol. 47(C), pages 1-16.
    7. S P Santos & C A F Amado & J R Rosado, 2011. "Formative evaluation of electricity distribution utilities using data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1298-1319, July.
    8. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 1993. "The Measurement of Productive Efficiency: Techniques and Applications," OUP Catalogue, Oxford University Press, number 9780195072181.
    9. V V Podinovski, 2007. "Improving data envelopment analysis by the use of production trade-offs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1261-1270, October.
    10. Podinovski, V. V., 1999. "Side effects of absolute weight bounds in DEA models," European Journal of Operational Research, Elsevier, vol. 115(3), pages 583-595, June.
    11. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    12. C A F Amado & R G Dyson, 2009. "Exploring the use of DEA for formative evaluation in primary diabetes care: An application to compare English practices," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1469-1482, November.
    13. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    14. Atici, Kazim Baris & Podinovski, Victor V., 2015. "Using data envelopment analysis for the assessment of technical efficiency of units with different specialisations: An application to agriculture," Omega, Elsevier, vol. 54(C), pages 72-83.
    15. Podinovski, V. V., 2004. "Suitability and redundancy of non-homogeneous weight restrictions for measuring the relative efficiency in DEA," European Journal of Operational Research, Elsevier, vol. 154(2), pages 380-395, April.
    16. Victor V. Podinovski & Tatiana Bouzdine-Chameeva, 2013. "Weight Restrictions and Free Production in Data Envelopment Analysis," Operations Research, INFORMS, vol. 61(2), pages 426-437, April.
    17. Sherali, Hanif D., 1982. "Equivalent weights for lexicographic multi-objective programs: Characterizations and computations," European Journal of Operational Research, Elsevier, vol. 11(4), pages 367-379, December.
    18. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    19. Podinovski, Victor V. & Bouzdine-Chameeva, Tatiana, 2015. "Consistent weight restrictions in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 244(1), pages 201-209.
    20. V V Podinovski, 2005. "The explicit role of weight bounds in models of data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(12), pages 1408-1418, December.
    21. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2007. "Data Envelopment Analysis," Springer Books, Springer, edition 0, number 978-0-387-45283-8, September.
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