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Validating absolute weight bounds in Data Envelopment Analysis (DEA) models

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  • V V Podinovski

    (University of Warwick)

Abstract

The Charnes, Cooper and Rhodes (CCR) DEA model and its linear forms maximise the efficiency of the assessed decision making unit (DMU) and, at the same time, the ratio of this efficiency to the maximum efficiency taken across all the DMUs, the latter naturally always being equal to one. It has been shown recently that, in the presence of absolute weight bounds, these models may not maximise the ratio of these efficiencies, a fact that may cause problems with the interpretation and use of the optimal primal and dual solutions. For example, an inefficient DMU may have greater efficiency than its target unit for some weights. This paper investigates the problem in greater detail; it shows that, in the linear DEA model maximising the total virtual output of the assessed DMU, the problem occurs only if upper bounds are imposed on the output weights. A similar result is established for the model that minimises the total virtual input.

Suggested Citation

  • V V Podinovski, 2001. "Validating absolute weight bounds in Data Envelopment Analysis (DEA) models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(2), pages 221-225, February.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:2:d:10.1057_palgrave.jors.2601032
    DOI: 10.1057/palgrave.jors.2601032
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    Citations

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    Cited by:

    1. Podinovski, Victor V., 2016. "Optimal weights in DEA models with weight restrictions," European Journal of Operational Research, Elsevier, vol. 254(3), pages 916-924.
    2. 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.
    3. M Zohrehbandian & A Makui & A Alinezhad, 2010. "A compromise solution approach for finding common weights in DEA: an improvement to Kao and Hung's approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 604-610, April.
    4. Ströhl, Florian & Borsch, Erik & Souren, Rainer, 2018. "Integration von Gewichtsrestriktionen in das DEA-Modell nach Charnes, Cooper und Rhodes: Exemplarische Optionen und Auswirkungen," Ilmenauer Schriften zur Betriebswirtschaftslehre, Technische Universität Ilmenau, Institut für Betriebswirtschaftslehre, volume 3, number 32018.
    5. Zhou, P. & Ang, B.W. & Poh, K.L., 2008. "A survey of data envelopment analysis in energy and environmental studies," European Journal of Operational Research, Elsevier, vol. 189(1), pages 1-18, August.
    6. Dimitrov, Stanko & Sutton, Warren, 2013. "Generalized symmetric weight assignment technique: Incorporating managerial preferences in data envelopment analysis using a penalty function," Omega, Elsevier, vol. 41(1), pages 48-54.

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