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Decomposing capacity utilization in data envelopment analysis: An application to banks in India

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  • Sahoo, Biresh K.
  • Tone, Kaoru

Abstract

This paper briefly reviews the existing methods of capacity utilization in nonparametric framework from economic perspectives, and then suggests an alternative in the light of limitations therein. In the spirit of work by Coelli et al. [Coelli, T.J., Grifell-Tatje, E., Perelman, S., 2002. Capacity utilisation and profitability: A decomposition of short run profit efficiency. International Journal of Production Economics 79, 261-278], we propose two methods, radial and non-radial, to decompose the input-based physical (technological) capacity utilization into various meaningful components viz., technical inefficiency, ray economic capacity utilization and optimal capacity idleness. A case study of Indian banking industry is taken as an example to illustrate the potential application of these two methods of decomposition. Our two broad empirical findings are that first, competition created after financial sector reforms generates high efficiency growth, and reduces excess capacity; second, the cost gap of the short-run cost from the actual cost is higher for the nationalized banks over the private banks indicating that the former banks, though old, do not reflect their learning experience in their cost minimizing behavior.

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  • Sahoo, Biresh K. & Tone, Kaoru, 2009. "Decomposing capacity utilization in data envelopment analysis: An application to banks in India," European Journal of Operational Research, Elsevier, vol. 195(2), pages 575-594, June.
  • Handle: RePEc:eee:ejores:v:195:y:2009:i:2:p:575-594
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    1. Eilon, Samuel, 1975. "Changes in profitability components," Omega, Elsevier, vol. 3(3), pages 353-354, June.
    2. Coelli, Tim & Grifell-Tatje, Emili & Perelman, Sergio, 2002. "Capacity utilisation and profitability: A decomposition of short-run profit efficiency," International Journal of Production Economics, Elsevier, vol. 79(3), pages 261-278, October.
    3. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
    4. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-598, October.
    5. Eilon, Samuel & Teague, Judith, 1973. "On measures of productivity," Omega, Elsevier, vol. 1(5), pages 565-576, October.
    6. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    7. Kopp, Raymond J., 1981. "Measuring the technical efficiency of production: A comment," Journal of Economic Theory, Elsevier, vol. 25(3), pages 450-452, December.
    8. Ferrier, Gary D. & Lovell, C. A. Knox, 1990. "Measuring cost efficiency in banking : Econometric and linear programming evidence," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 229-245.
    9. Richard Schmalensee, 1978. "Entry Deterrence in the Ready-to-Eat Breakfast Cereal Industry," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 305-327, Autumn.
    10. Winston, Gordon C, 1974. "The Theory of Capital Utilization and Idleness," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1301-1320, December.
    11. Christensen, Flemming & Hougaard, Jens Leth & Keiding, Hans, 1999. "An axiomatic characterization of efficiency indices," Economics Letters, Elsevier, vol. 63(1), pages 33-37, April.
    12. Tone, Kaoru & Sahoo, Biresh K., 2004. "Degree of scale economies and congestion: A unified DEA approach," European Journal of Operational Research, Elsevier, vol. 158(3), pages 755-772, November.
    13. Berndt, Ernst R. & Hesse, Dieter M., 1986. "Measuring and assessing capacity utilization in the manufacturing sectors of nine oecd countries," European Economic Review, Elsevier, vol. 30(5), pages 961-989, October.
    14. Bela Gold, 1985. "Foundations of Strategic Planning for Productivity Improvement," Interfaces, INFORMS, vol. 15(3), pages 15-30, June.
    15. Jati Sengupta & Biresh Sahoo, 2006. "Efficiency Models in Data Envelopment Analysis," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-59817-1.
    16. Kaoru Tone & Biresh Sahoo, 2006. "Re-examining scale elasticity in DEA," Annals of Operations Research, Springer, vol. 145(1), pages 69-87, July.
    17. K Tone, 2002. "A strange case of the cost and allocative efficiencies in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1225-1231, November.
    18. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
    19. Laurens Cherchye & Tom Van Puyenbroeck, 1999. "A Shadow Price Approach to Technical Efficiency Measurement," Public Economics Working Paper Series ces9924, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
    20. Finn Førsund, 1998. "The Rise and Fall of Slacks: Comments on Quasi-Malmquist Productivity Indices," Journal of Productivity Analysis, Springer, vol. 10(1), pages 21-34, July.
    21. Berndt, Ernst R & Morrison, Catherine J, 1981. "Capacity Utilization Measures: Underlying Economic Theory and an Alternative Approach," American Economic Review, American Economic Association, vol. 71(2), pages 48-52, May.
    22. Allen N. Berger & David B. Humphrey, 1992. "Measurement and Efficiency Issues in Commercial Banking," NBER Chapters, in: Output Measurement in the Service Sectors, pages 245-300, National Bureau of Economic Research, Inc.
    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. Catherine J. Morrison, 1985. "On the Economic Interpretation and Measurement of Optimal Capacity Utilization with Anticipatory Expectations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 295-309.
    25. Nelson, Randy A, 1989. "On the Measurement of Capacity Utilization," Journal of Industrial Economics, Wiley Blackwell, vol. 37(3), pages 273-286, March.
    26. Robert Chambers & Thomas Mitchell, 2001. "Homotheticity and Non-Radial Changes," Journal of Productivity Analysis, Springer, vol. 15(1), pages 31-39, January.
    27. Fare, Rolf & Grosskopf, Shawna & Kokkelenberg, Edward C, 1989. "Measuring Plant Capacity, Utilization and Technical Change: A Nonparametric Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 655-666, August.
    28. Prior, Diego, 2003. "Long- and short-run non-parametric cost frontier efficiency: An application to Spanish savings banks," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 655-671, April.
    29. Segerson, Kathleen & Squires, Dale, 1990. "On the measurement of economic capacity utilization for multi-product industries," Journal of Econometrics, Elsevier, vol. 44(3), pages 347-361, June.
    30. Edward J. Frydl, 1993. "Excess capacity in the financial sector: causes and issues," Research Paper 9310, Federal Reserve Bank of New York.
    31. Eilon, S & Gold, Bela & Soesan, Judith, 1975. "A productivity study in a chemical plant," Omega, Elsevier, vol. 3(3), pages 329-343, June.
    32. Robert Russell, R., 1990. "Continuity of measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 51(2), pages 255-267, August.
    33. Tone, Kaoru & Sahoo, Biresh K., 2005. "Evaluating cost efficiency and returns to scale in the Life Insurance Corporation of India using data envelopment analysis," Socio-Economic Planning Sciences, Elsevier, vol. 39(4), pages 261-285, December.
    34. Bol, Georg, 1986. "On technical efficiency measures: A remark," Journal of Economic Theory, Elsevier, vol. 38(2), pages 380-385, April.
    35. Jati Sengupta & Biresh Sahoo, 2006. "Productivity and Efficiency Analysis," Palgrave Macmillan Books, in: Efficiency Models in Data Envelopment Analysis, chapter 1, pages 1-35, Palgrave Macmillan.
    36. Gold, Bela, 1973. "Technology, productivity and economic analysis," Omega, Elsevier, vol. 1(1), pages 5-24, February.
    37. 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.
    38. McFadden, Daniel, 1978. "Estimation Techniques for the Elasticity of Substitution and Other Production Parameters," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 2, chapter 4, McMaster University Archive for the History of Economic Thought.
    39. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
    40. J. M. Cassels, 1937. "Excess Capacity and Monopolistic Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 51(3), pages 426-443.
    41. Samuel Eilon, 1985. "A Framework for Profitability and Productivity Measures," Interfaces, INFORMS, vol. 15(3), pages 31-40, June.
    42. Morrison, Catherine J, 1985. "Primal and Dual Capacity Utilization: An Application to Productivity Measurement in the U.S. Automobile Industry," Journal of Business & Economic Statistics, American Statistical Association, vol. 3(4), pages 312-324, October.
    43. Stigler, George J, 1976. "The Xistence of X-Efficiency," American Economic Review, American Economic Association, vol. 66(1), pages 213-216, March.
    44. E. Grifell-Tatjé & C. Lovell & J. Pastor, 1998. "A Quasi-Malmquist Productivity Index," Journal of Productivity Analysis, Springer, vol. 10(1), pages 7-20, July.
    45. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    46. Fare, Rolf & Grosskopf, Shawna & Kirkley, Jim, 2000. "Multi-output Capacity Measures and Their Relevance for Productivity," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 101-112, April.
    47. Gold, Bela, 1981. "Changing Perspectives on Size, Scale, and Returns: An Interpretive Survey," Journal of Economic Literature, American Economic Association, vol. 19(1), pages 5-33, March.
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