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

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.

[1]  Biresh K. Sahoo,et al.  Evaluating cost efficiency and returns to scale in the Life Insurance Corporation of India using data envelopment analysis , 2005 .

[2]  Wolfgang Eichhorn,et al.  Measurement in economics : theory and applications of economic indices , 1988 .

[3]  Kaoru Tone,et al.  Re-examining scale elasticity in DEA , 2006, Ann. Oper. Res..

[4]  E. Berndt,et al.  Capacity Utilization Measures: Underlying Economic Theory and an Alternative Approach , 1981 .

[5]  S. Afriat Efficiency Estimation of Production Function , 1972 .

[6]  E. Berndt,et al.  Measuring and assessing capacity utilization in the manufacturing sectors of nine oecd countries , 1986 .

[7]  Biresh K. Sahoo A comparative application of data envelopment analysis and frontier translog production function for estimating returns to scale and efficiencies , 1999, Int. J. Syst. Sci..

[8]  Roger S. Frantz,et al.  On the Existence of X-Efficiency , 1980 .

[9]  D. Prior,et al.  Long- and short-run non-parametric cost frontier efficiency: An application to Spanish savings banks , 2003 .

[10]  B. Gold Changing Perspectives on Size, Scale, and Returns: An Interpretive Survey , 1981 .

[11]  S. Eilon,et al.  A productivity study in a chemical plant , 1975 .

[12]  J. Crocker,et al.  The Art of Reckoning: Analysis of Performance Criteria , 1985 .

[13]  Kaoru Tone,et al.  Cost Efficiency and Returns to Scale in Life Insurance Corporation of India Using Data Envelopment Analysis , 2002 .

[14]  R. Färe,et al.  Measuring Plant Capacity, Utilization and Technical Change: A Nonparametric Approach , 1989 .

[15]  C. Morrison On the Economic Interpretation and Measurement of Optimal Capacity Utilization with Anticipatory Expectations , 1985 .

[16]  G. Bol On the Definition of Efficiency Measures: A Note , 1988 .

[17]  Daniel McFadden,et al.  Estimation Techniques for the Elasticity of Substitution and Other Production Parameters , 1978 .

[18]  R. Färe,et al.  The measurement of efficiency of production , 1985 .

[19]  Thomas Mitchell,et al.  Homotheticity and Non-Radial Changes , 2001 .

[20]  C. Kirkpatrick,et al.  Privatisation in less developed countries , 1988 .

[21]  Rolf Färe,et al.  Multi-Output Capacity Measures and Their Relevance for Productivity , 2000 .

[22]  Rolf Färe,et al.  The Existence of Plant Capacity , 1984 .

[23]  Bela Gold,et al.  Foundations of Productivity Analysis , 1955 .

[24]  Kaoru Tone,et al.  Degree of scale economies and congestion: A unified DEA approach , 2002, Eur. J. Oper. Res..

[25]  B. Hickman,et al.  On a New Method of Capacity Estimation , 1964 .

[26]  R. R. Russell,et al.  Measures of technical efficiency , 1985 .

[27]  L. R. Christensen,et al.  The Relative Efficiency of Public and Private Firms in a Competitive Environment: The Case of Canadian Railroads , 1980, Journal of Political Economy.

[28]  Bela Gold,et al.  Technology, productivity and economic analysis , 1973 .

[29]  R. Nelson On the Measurement of Capacity Utilization , 1989 .

[30]  R. R. Russell,et al.  On the Axiomatic Approach to the Measurement of Technical Efficiency , 1988 .

[31]  S. Eilon,et al.  On measures of productivity , 1973 .

[32]  Rolf Färe,et al.  Measuring the technical efficiency of production , 1978 .

[33]  Kaoru Tone,et al.  A strange case of the cost and allocative efficiencies in DEA , 2001, J. Oper. Res. Soc..

[34]  Gary D. Ferrier,et al.  Measuring cost efficiency in banking: Econometric and linear programming evidence , 1990 .

[35]  L. Cherchye,et al.  A Shadow Price Approach to Technical Efficiency Measurement , 1999 .

[36]  Catherine J. Morrison,et al.  Primal and Dual Capacity Utilization: An Application to Productivity Measurement in the U.S. Automobile Industry , 1985 .

[37]  Z. Griliches Output Measurement in the Service Sectors , 1992 .

[38]  Hurvey Leibenstein Allocative efficiency vs. X-Efficiency , 1966 .

[39]  G. Stigler The Xistence of X-Efficiency , 1976 .

[40]  Gordon C. Winston,et al.  The Theory of Capital Utilization and Idleness. , 1974 .

[41]  Kaoru Tone,et al.  A slacks-based measure of super-efficiency in data envelopment analysis , 2001, Eur. J. Oper. Res..

[42]  R. Shepherd Theory of cost and production functions , 1970 .

[43]  John Grahl,et al.  Competition and Efficiency in Refuse Collection: A Critical Comment , 1988 .

[44]  Loretta J. Mester,et al.  Inside the Black Box: What Explains Differences in the Efficiencies of Financial Institutions? , 1997 .

[45]  A. Alchian,et al.  Some Economics of Property Rights , 1965 .

[46]  Samuel Eilon A Framework for Profitability and Productivity Measures , 1985 .

[47]  G. Bol On technical efficiency measures: A remark , 1986 .

[48]  A. Boardman,et al.  Ownership versus competition: Efficiency in public enterprise , 1992 .

[49]  Jati K. Sengupta,et al.  Efficiency Models in Data Envelopment Analysis: Techniques of Evaluation of Productivity of Firms in a Growing Economy , 2006 .

[50]  Allen N. Berger,et al.  Measurement and Efficiency Issues in Commercial Banking , 1992 .

[51]  On the measurement of capacity utilisation and coast efficiency: a non-parametric approach at firm level , 2002 .

[52]  O. H. Brownlee,et al.  ACTIVITY ANALYSIS OF PRODUCTION AND ALLOCATION , 1952 .

[53]  R. Robert Russell,et al.  Continuity of measures of technical efficiency , 1990 .

[54]  B. Gold Foundations of Strategic Planning for Productivity Improvement , 1985 .

[55]  Kaoru Tone,et al.  Scale, Indivisibilities and Production Function in Data Envelopment Analysis , 2003 .

[56]  H. Varian The Nonparametric Approach to Production Analysis , 1984 .

[57]  Kathleen Segerson,et al.  On the measurement of economic capacity utilization for multi-product industries , 1990 .

[58]  J. Cassels,et al.  Excess Capacity and Monopolistic Competition , 1937 .

[59]  Jati K. Sengupta,et al.  Efficiency Measurement in Nonmarket Systems Through Data Envelopment Analysis , 1987 .

[60]  R. Schmalensee Entry Deterrence in the Ready-to-Eat Breakfast Cereal Industry , 1978 .

[61]  J. T. Pastor,et al.  A Quasi-Malmquist Productivity Index , 1998 .

[62]  D. McFadden,et al.  Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production , 1978 .

[63]  Jens Leth Hougaard,et al.  An axiomatic characterization of efficiency indices , 1999 .

[64]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[65]  R. Kopp Measuring the technical efficiency of production: A comment☆ , 1981 .

[66]  Milton Friedman More on Archibald versus Chicago , 1963 .

[67]  Lawrence R. Klein,et al.  Some Theoretical Issues in the Measurement of Capacity , 1960 .

[68]  Sergio Perelman,et al.  Capacity utilisation and profitability: a decomposition of short run profit efficiency , 2002 .

[69]  Finn R. Førsund,et al.  The Rise and Fall of Slacks: Comments on Quasi-Malmquist Productivity Indices , 1998 .