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Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach

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  • Sahoo, Biresh K.
  • Mehdiloozad, Mahmood
  • Tone, Kaoru

Abstract

Estimation of efficiency of firms in a non-competitive market characterized by heterogeneous inputs and outputs along with their varying prices is questionable when factor-based technology sets are used in data envelopment analysis (DEA). In this scenario, a value-based technology becomes an appropriate reference technology against which efficiency can be assessed. In this contribution, the value-based models of Tone (2002) are extended in a directional DEA set up to develop new directional cost- and revenue-based measures of efficiency, which are then decomposed into their respective directional value-based technical and allocative efficiencies. These new directional value-based measures are more general, and include the existing value-based measures as special cases. These measures satisfy several desirable properties of an ideal efficiency measure. These new measures are advantageous over the existing ones in terms of (1) their ability to satisfy the most important property of translation invariance; (2) choices over the use of suitable direction vectors in handling negative data; and (3) flexibility in providing the decision makers with the option of specifying preferable direction vectors to incorporate their preferences. Finally, under the condition of no prior unit price information, a directional value-based measure of profit inefficiency is developed for firms whose underlying objectives are profit maximization. For an illustrative empirical application, our new measures are applied to a real-life data set of 50 US banks to draw inferences about the production correspondence of banking industry.

Suggested Citation

  • Sahoo, Biresh K. & Mehdiloozad, Mahmood & Tone, Kaoru, 2014. "Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach," European Journal of Operational Research, Elsevier, vol. 237(3), pages 921-931.
  • Handle: RePEc:eee:ejores:v:237:y:2014:i:3:p:921-931
    DOI: 10.1016/j.ejor.2014.02.017
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Biresh K Sahoo & Ramadhar Singh & Bineet Mishra & Krithiga Sankaran, 2015. "Research Productivity in Management Schools of India: A Directional Benefit-of-Doubt Model Analysis," Working Papers id:7139, eSocialSciences.
    2. repec:eee:ejores:v:276:y:2019:i:2:p:688-698 is not listed on IDEAS
    3. repec:spr:opsear:v:55:y:2018:i:3:d:10.1007_s12597-018-0332-2 is not listed on IDEAS
    4. repec:eee:ejores:v:265:y:2018:i:2:p:644-654 is not listed on IDEAS
    5. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin & Lin, Yu-Hui, 2015. "Profit-oriented productivity change," Omega, Elsevier, vol. 57(PB), pages 176-187.
    6. repec:spr:annopr:v:250:y:2017:i:1:d:10.1007_s10479-015-1892-7 is not listed on IDEAS
    7. Eder, Andreas, 2017. "Cost efficiency and economies of diversification of biogas-fuelled cogeneration plants in Austria: a nonparametric approach," MPRA Paper 80369, University Library of Munich, Germany.
    8. Laurens Cherchye & Bram De Rock & Veerle Hennebel, 2017. "Coordination efficiency in multi-output settings: a DEA approach," Annals of Operations Research, Springer, vol. 250(1), pages 205-233, March.
    9. Sahoo, Biresh K & Khoveyni, Mohammad & Eslami, Robabeh & Chaudhury, Pradipta, 2016. "Returns to scale and most productive scale size in DEA with negative data," European Journal of Operational Research, Elsevier, vol. 255(2), pages 545-558.
    10. repec:eee:ejores:v:266:y:2018:i:3:p:1013-1024 is not listed on IDEAS
    11. Tzeremes, Nickolaos G., 2015. "Efficiency dynamics in Indian banking: A conditional directional distance approach," European Journal of Operational Research, Elsevier, vol. 240(3), pages 807-818.
    12. Ayouba, Kassoum & Boussemart, Jean-Philippe & Lefer, Henri-Bertrand & Leleu, Hervé & Parvulescu, Raluca, 2019. "A measure of price advantage and its decomposition into output- and input-specific effects," European Journal of Operational Research, Elsevier, vol. 276(2), pages 688-698.
    13. repec:eee:proeco:v:204:y:2018:i:c:p:421-432 is not listed on IDEAS
    14. Sahoo, Biresh K. & Singh, Ramadhar & Mishra, Bineet & Sankaran, Krithiga, 2017. "Research productivity in management schools of India during 1968-2015: A directional benefit-of-doubt model analysis," Omega, Elsevier, vol. 66(PA), pages 118-139.

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