A complete FDH efficiency analysis of a diffused production network: the case of the Italian driver and vehicle agency

In a multiple input–output setting, we offer an example of a full-blown efficiency analysis based on the free disposal hull assumption of a non-convex technology. On a cross section of 92 units, for the time period 2006–2007, we measure technical and allocative efficiency, cost efficiency, as well as returns to scale and technical progress. Furthermore, by introducing a new cost-efficiency measure that is corrected for differences in the scale of operations (average cost efficiency), we are able to obtain an estimate of cost reductions ensuing from network restructuring based on optimal scale sizes. A detailed regional analysis of results is presented. Differences in efficiency scores, ascertained across space and time, are assessed by means of non-parametric inference testing. The input ratio is found not to be statistically correlated with cost-efficiency scores. Local provision of public services at a provincial level results in a considerable amount of average cost inefficiency.

[1]  Victor V. Podinovski,et al.  Efficiency and Global Scale Characteristics on the “No Free Lunch” Assumption Only , 2004 .

[2]  Kristiaan Kerstens,et al.  Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity , 2004 .

[3]  K. Kerstens,et al.  Radial and nonradial measures of technical efficiency: An empirical illustration for Belgian local governments using an FDH reference technology , 1996 .

[4]  P. W. Wilson,et al.  Statistical Inference in Nonparametric Frontier Models: The State of the Art , 1999 .

[5]  Henry Tulkens,et al.  On FDH efficiency analysis: Some methodological issues and applications to retail banking, courts, and urban transit , 1993 .

[6]  Tom Van Puyenbroeck.  Some Remarks on Modified FDH , 1998 .

[7]  C. A. Knox Lovell,et al.  An analysis of the performance of university-affiliated credit unions , 1996, Comput. Oper. Res..

[8]  Dominique Deprins,et al.  Measuring Labor-Efficiency in Post Offices , 2006 .

[9]  Robin C. Sickles,et al.  Panel estimators and the identification of firm-specific efficiency levels in parametric, semiparametric and nonparametric settings , 2005 .

[10]  Kristiaan Kerstens,et al.  Estimating returns to scale using non-parametric deterministic technologies: A new method based on goodness-of-fit , 1999, Eur. J. Oper. Res..

[11]  Majid Soleimani-Damaneh,et al.  On the estimation of returns-to-scale in FDH models , 2006, Eur. J. Oper. Res..

[12]  Carlos Santos,et al.  Assessing school efficiency in Portugal using FDH and bootstrapping , 2005 .

[13]  David Hawdon,et al.  Efficiency, performance and regulation of the international gas industry—a bootstrap DEA approach , 2003 .

[14]  Timothy Coelli,et al.  An Introduction to Efficiency and Productivity Analysis , 1997 .

[15]  R. Marques,et al.  Designing Incentives in Local Public Utilities: An International Comparison of the Drinking Water Sector , 2007 .

[16]  Henry Tulkens,et al.  Cost efficiency in Belgian municipalities , 1993 .

[17]  François Mairesse,et al.  Museum Assessment and FDH Technology: Towards a Global Approach , 2002 .

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

[19]  K. Kerstens,et al.  Cost efficiency of Belgian local governments: A comparative analysis of FDH, DEA, and econometric approaches , 1996 .

[20]  P. Kott.  Estimating the conditional variance of a design consistent regression estimator , 1990 .

[21]  Maria da Conceição Sampaio de Sousa,et al.  EFFICIENCY ESTIMATES FOR JUDICIAL SERVICES IN BRAZIL: NONPARAMETRIC FDH (FREE DISPOSAL HULL) AND THE EXPECTED ORDER- M EFFICIENCY SCORES FOR RIO GRANDE DO SUL COURTS´ , 2005 .

[22]  Borko Stosic,et al.  Technical Efficiency of the Brazilian Municipalities: Correcting Nonparametric Frontier Measurements for Outliers , 2005 .

[23]  B. Geys,et al.  Research Area Markets and Politics Research Unit Market Processes and Governance Schwerpunkt Märkte Und Politik Abteilung Marktprozesse Und Steuerung Measuring Local Government Technical (in)efficiency: an Application and Comparison of Fdh, Dea and Econometric Approaches Iii Abstract Measuring Local , 2022 .

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

[25]  L. Simar,et al.  Linearly interpolated FDH efficiency score for nonconvex frontiers , 2006 .

[26]  J. Cummins,et al.  Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry , 1998 .

[27]  J. Florens,et al.  Nonparametric frontier estimation: a robust approach , 2002 .

[28]  D. Vasile,et al.  PRODUCTIVITY GROWTH , 2008 .

[29]  Holger Scheel.  EMS: Efficiency Measurement System User’s Manual , 2000 .

[30]  Paul W. Wilson,et al.  FEAR: A software package for frontier efficiency analysis with R , 2008 .

[31]  J. Vanneste,et al.  Explaining differences in productive efficiency: An application to Belgian municipalities , 1994 .

[32]  Philippe Vanden Eeckaut,et al.  Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects☆ , 1995 .

[33]  Léopold Simar,et al.  A BIAS-CORRECTED NONPARAMETRIC ENVELOPMENT ESTIMATOR OF FRONTIERS , 2009, Econometric Theory.