A system-of-equations two-stage DEA approach for explaining capacity utilization and technical efficiency

In this paper we develop a system-of-equations two-stage approach to explain the simultaneous effect of a number of contextual variables on technical efficiency and capacity utilization, which were derived using Johansen measure of capacity utilization and DEA. The model is applied to a sample of public hospitals in Greece and provides estimates of capacity utilization and optimal input usage. Our results indicate that the sample hospitals operated with excess capacity and by underutilizing doctors and nursing personnel. We also found some variation in capacity and variable input utilization across urban and non-urban hospitals. The results from the second stage SUR system of equations show that hospital size and location have a positive effect on hospital capacity utilization while the average length of stay a negative one.

[1]  Lee R. Mobley,et al.  The Impact of Market Environment on Excess Capacity and the Cost of an Empty Hospital Bed , 1999 .

[2]  Rolf Färe,et al.  Capacity, competiton and efficiency in hospitals: A nonparametric approach , 1989 .

[3]  Rajiv D. Banker,et al.  Statistical Tests Based on Dea Efficiency Scores , 2011 .

[4]  Harold O. Fried,et al.  The Measurement of Productive Efficiency and Productivity Growth , 2008 .

[5]  Subal C. Kumbhakar,et al.  Stochastic frontier analysis , 2000 .

[6]  Peter Schmidt,et al.  One-Step and Two-Step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels , 2002 .

[7]  J. W. de Wilde,et al.  Capacity Assessment of the Dutch Beam-trawler Fleet using Data Envelopment Analysis (DEA) , 2005, Marine Resource Economics.

[8]  A. Buse,et al.  Elements of econometrics , 1972 .

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

[10]  P. W. Wilson,et al.  Estimation and inference in two-stage, semi-parametric models of production processes , 2007 .

[11]  J. Ramirez,et al.  Unemployment and employment offices’ efficiency: What can be done? , 2006 .

[12]  Rajiv D. Banker,et al.  Evaluating Contextual Variables Affecting Productivity Using Data Envelopment Analysis , 2008, Oper. Res..

[13]  M. Farrell The Measurement of Productive Efficiency , 1957 .

[14]  Tobago Population and Housing Census. , 2011 .

[15]  Kaoru Tone,et al.  Data Envelopment Analysis , 1996 .

[16]  N. Vestergaard,et al.  Measuring capacity and capacity utilization in fisheries: the case of the Danish Gill-net fleet , 2003 .

[17]  Subhash C. Ray,et al.  Resource-Use Efficiency in Public Schools: A Study of Connecticut Data , 1991 .

[18]  Gregory M. Duncan Estimation and Inference for Heteroscedastic Systems of Equations , 1983 .

[19]  Léopold Simar,et al.  Explaining inefficiency in nonparametric production models: the state of the art , 2014, Ann. Oper. Res..

[20]  R. Banker Maximum likelihood, consistency and data envelopment analysis: a statistical foundation , 1993 .

[21]  H. White A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

[22]  C. Lovell,et al.  Stochastic Frontier Analysis: Frontmatter , 2000 .

[23]  Niels Vestergaard,et al.  Revenue-based capacity utilisation measures and decomposition: The case of Danish North Sea trawlers , 2007, Eur. J. Oper. Res..

[24]  Emmanuel Thanassoulis,et al.  Data Envelopment Analysis:the mathematical programming approach to efficiency analysis , 2008 .

[25]  Léopold Simar,et al.  Non-parametric tests of returns to scale , 2002, Eur. J. Oper. Res..

[26]  Hervé Leleu,et al.  Hospital capacity in large urban areas: is there enough in times of need? , 2009 .

[27]  Stefania Lovo Pension Transfers and Farm Household Technical Efficiency: Evidence from South Africa , 2011 .

[28]  Ayoe Hoff,et al.  Second stage DEA: Comparison of approaches for modelling the DEA score , 2007, Eur. J. Oper. Res..

[29]  N. S. Revankar,et al.  Some Finite Sample Results in the Context of Two Seemingly Unrelated Regression Equations , 1974 .

[30]  John McDonald,et al.  Using least squares and tobit in second stage DEA efficiency analyses , 2009, Eur. J. Oper. Res..

[31]  Rajiv D. Banker,et al.  Technological progress and productivity growth in the U.S. mobile telecommunications industry , 2010, Ann. Oper. Res..

[32]  Sean Pascoe,et al.  Factors Affecting Capacity Utilisation in English Channel Fisheries , 2005 .

[33]  Vivian Valdmanis,et al.  Capacity in Thai public hospitals and the production of care for poor and nonpoor patients. , 2004, Health services research.

[34]  William W. Cooper,et al.  Handbook on data envelopment analysis , 2011 .

[35]  篠原 正明,et al.  William W.Cooper,Lawrence M.Seiford,Kaoru Tone 著, DATA ENVELOPMENT ANALYSIS : A Comprehensive Text with Models, Applications, References and DEA-Solver Software, Kluwer Academic Publishers, 2000年, 318頁 , 2002 .

[36]  P. W. Wilson,et al.  Two-stage DEA: caveat emptor , 2011 .

[37]  Rolf Färe,et al.  Technological change and timing reductions in greenhouse gas emissions , 2012 .

[38]  Rajiv D. Banker,et al.  The impact of supervisory monitoring on high-end retail sales productivity , 2010, Ann. Oper. Res..