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Ratio-based RTS determination in weight-restricted DEA models

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  • Korhonen, Pekka J.
  • Soleimani-damaneh, Majid
  • Wallenius, Jyrki

Abstract

This paper provides computationally efficient approaches for determining to which returns to scale (RTS) class a unit belongs in weight-restricted Data Envelopment Analysis (DEA) models. A non-traditional computational algorithm is introduced. The suggested approach is based on the calculation of certain ratios within the data set and offers obvious computational advantages over the traditional approaches involving the solution of standard DEA models. Some theorems and algorithms are given. Computational advantages of the provided results are discussed and one of the algorithms is illustrated using real world data.

Suggested Citation

  • Korhonen, Pekka J. & Soleimani-damaneh, Majid & Wallenius, Jyrki, 2011. "Ratio-based RTS determination in weight-restricted DEA models," European Journal of Operational Research, Elsevier, vol. 215(2), pages 431-438, December.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:2:p:431-438
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    References listed on IDEAS

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    1. Banker, Rajiv D. & Thrall, R. M., 1992. "Estimation of returns to scale using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 62(1), pages 74-84, October.
    2. Soleimani-damaneh, M. & Jahanshahloo, G.R. & Reshadi, M., 2006. "On the estimation of returns-to-scale in FDH models," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1055-1059, October.
    3. 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.
    4. Banker, Rajiv D. & Cooper, William W. & Seiford, Lawrence M. & Thrall, Robert M. & Zhu, Joe, 2004. "Returns to scale in different DEA models," European Journal of Operational Research, Elsevier, vol. 154(2), pages 345-362, April.
    5. Zarepisheh, M. & Soleimani-damaneh, M., 2008. "Global variation of outputs with respect to the variation of inputs in performance analysis; generalized RTS," European Journal of Operational Research, Elsevier, vol. 186(2), pages 786-800, April.
    6. Kaoru Tone, 2001. "On Returns to Scale under Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 16(1), pages 31-47, July.
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    Cited by:

    1. Toshiyuki Sueyoshi & Ruchuan Zhang & Aijun Li, 2023. "Measuring and Analyzing Operational Efficiency and Returns to Scale in a Time Horizon: Assessment of China’s Electricity Generation & Transmission at Provincial Levels," Energies, MDPI, vol. 16(2), pages 1-23, January.
    2. Amin Mostafaee & Majid Soleimani-Damaneh, 2016. "Some Conditions for Characterizing Anchor Points," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(02), pages 1-17, April.
    3. Korhonen, Pekka J. & Soleimani-damaneh, Majid & Wallenius, Jyrki, 2013. "On ratio-based RTS determination: An extension," European Journal of Operational Research, Elsevier, vol. 231(1), pages 242-243.
    4. Mehdi Rhaiem, 2017. "Measurement and determinants of academic research efficiency: a systematic review of the evidence," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(2), pages 581-615, February.
    5. Victor V. Podinovski & Robert G. Chambers & Kazim Baris Atici & Iryna D. Deineko, 2016. "Marginal Values and Returns to Scale for Nonparametric Production Frontiers," Operations Research, INFORMS, vol. 64(1), pages 236-250, February.
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    7. Alirezaee, Mohammadreza & Hajinezhad, Ensie & Paradi, Joseph C., 2018. "Objective identification of technological returns to scale for data envelopment analysis models," European Journal of Operational Research, Elsevier, vol. 266(2), pages 678-688.

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