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Input Efficiency Measures: A Generalized, Encompassing Formulation

Author

Listed:
  • Walter Briec

    (LAMPS, University of Perpignan, Perpignan, France)

  • Laurent Cavaignac

    (Centre du Droit Economique et du Développement, University of Perpignan, Perpignan, France)

  • Kristiaan Kerstens

    (IESEG School of Management, CNRS, Université de Lille, UMR 9221-LEM, Lille, France)

Abstract
This contribution defines a new generalized input efficiency measure which encompasses and thus links four well-known input efficiency measures: the Debreu-Farrell measure, the Färe-Lovell measure, the asymmetric Färe measure, and the multiplicative Färe-Lovell measure. The axiomatic properties of this new measure are studied. The generalized input efficiency measure naturally leads to the definition of new measures as special cases. It also provides a general framework for testing the choice of efficiency measures. Examples of mathematical programming models in specific cases are established to illustrate this new measure.

Suggested Citation

  • Walter Briec & Laurent Cavaignac & Kristiaan Kerstens, 2020. "Input Efficiency Measures: A Generalized, Encompassing Formulation," Operations Research, INFORMS, vol. 68(6), pages 1836-1849, November.
  • Handle: RePEc:inm:oropre:v:68:y:2020:i:6:p:1836-1849
    DOI: 10.1287/opre.2019.1963
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    References listed on IDEAS

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    1. Walter Briec & Kristiaan Kerstens & Ignace Van de Woestyne, 2018. "Hypercongestion in production correspondences: an empirical exploration," Applied Economics, Taylor & Francis Journals, vol. 50(27), pages 2938-2956, June.
    2. Paolo Guarda & Abdelaziz Rouabah & Michael Vardanyan, 2013. "Identifying bank outputs and inputs with a directional technology distance function," Journal of Productivity Analysis, Springer, vol. 40(2), pages 185-195, October.
    3. Kopp, Raymond J., 1981. "Measuring the technical efficiency of production: A comment," Journal of Economic Theory, Elsevier, vol. 25(3), pages 450-452, December.
    4. KERSTENs, Kris & VANDEN EECKAUT, Philippe, 1995. "Technical Efficiency Measures on DEA and FDH : A Reconsideration of the Axiomatic Literature," LIDAM Discussion Papers CORE 1995013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Raymond J. Kopp, 1981. "The Measurement of Productive Efficiency: A Reconsideration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(3), pages 477-503.
    6. R. Färe & S. Grosskopf & D. Njinkeu, 1988. "Note---On Piecewise Reference Technologies," Management Science, INFORMS, vol. 34(12), pages 1507-1511, December.
    7. 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.
    8. Dylan Jones & Mehrdad Tamiz, 2010. "Practical Goal Programming," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-5771-9, December.
    9. Kumbhakar, Subal C, 1989. "Estimation of Technical Efficiency Using Flexible Functional Form and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(2), pages 253-258, April.
    10. Jean-Paul Chavas & Thomas L. Cox, 1999. "A Generalized Distance Function and the Analysis of Production Efficiency," Southern Economic Journal, John Wiley & Sons, vol. 66(2), pages 294-318, October.
    11. R. Russell & William Schworm, 2011. "Properties of inefficiency indexes on 〈input, output〉 space," Journal of Productivity Analysis, Springer, vol. 36(2), pages 143-156, October.
    12. Zieschang, Kimberly D., 1984. "An extended farrell technical efficiency measure," Journal of Economic Theory, Elsevier, vol. 33(2), pages 387-396, August.
    13. Louisa Andriamasy & Walter Briec & Stephane Mussard, 2016. "On Some Relations between Several Generalized Convex DEA Models," Cahiers de recherche 16-02, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    14. Briec, Walter & Liang, Qi Bin, 2011. "On some semilattice structures for production technologies," European Journal of Operational Research, Elsevier, vol. 215(3), pages 740-749, December.
    15. Konstantinos Giannakas & Kien C. Tran & Vangelis Tzouvelekas, 2003. "On the choice of functional form in stochastic frontier modeling," Empirical Economics, Springer, vol. 28(1), pages 75-100, January.
    16. Charnes, A. & Cooper, W. W. & Seiford, L. & Stutz, J., 1982. "A multiplicative model for efficiency analysis," Socio-Economic Planning Sciences, Elsevier, vol. 16(5), pages 223-224.
    17. H. Tuy & T. V. Thieu & Ng. Q. Thai, 1985. "A Conical Algorithm for Globally Minimizing a Concave Function Over a Closed Convex Set," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 498-514, August.
    18. R. Russell & William Schworm, 2009. "Axiomatic foundations of efficiency measurement on data-generated technologies," Journal of Productivity Analysis, Springer, vol. 31(2), pages 77-86, April.
    19. Thanassoulis, E. & Dyson, R. G., 1992. "Estimating preferred target input-output levels using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 56(1), pages 80-97, January.
    20. Ruggiero, John & Bretschneider, Stuart, 1998. "The weighted Russell measure of technical efficiency," European Journal of Operational Research, Elsevier, vol. 108(2), pages 438-451, July.
    21. Briec, Walter & Cavaignac, Laurent & Kerstens, Kristiaan, 2011. "Directional measurement of technical efficiency of production: An axiomatic approach," Economic Modelling, Elsevier, vol. 28(3), pages 775-781, May.
    22. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
    23. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    24. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June.
    25. Robert Russell, R., 1990. "Continuity of measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 51(2), pages 255-267, August.
    26. Silva Portela, Maria Conceicao A. & Thanassoulis, Emmanuel, 2005. "Profitability of a sample of Portuguese bank branches and its decomposition into technical and allocative components," European Journal of Operational Research, Elsevier, vol. 162(3), pages 850-866, May.
    27. Russell, R. Robert, 1985. "On the Axiomatic Approach to the Measurement of Technical Efficiency," Working Papers 85-33, C.V. Starr Center for Applied Economics, New York University.
    28. R. Robert Russell & William Schworm, 2018. "Technological inefficiency indexes: a binary taxonomy and a generic theorem," Journal of Productivity Analysis, Springer, vol. 49(1), pages 17-23, February.
    29. 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.
    30. Rajiv D. Banker & Ajay Maindiratta, 1986. "Piecewise Loglinear Estimation of Efficient Production Surfaces," Management Science, INFORMS, vol. 32(1), pages 126-135, January.
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