Skip to main content

Tipp

Weitere Kapitel dieses Buchs durch Wischen aufrufen

2014 | OriginalPaper | Buchkapitel

Sensitivity Analysis of BCC Efficiency in DEA with Application to European Health Services

verfasst von : Andreas Kleine, Andreas Dellnitz, Wilhelm Rödder

Erschienen in: Operations Research Proceedings 2013

Verlag: Springer International Publishing

share
TEILEN

Abstract

The CCR model by Charnes et al. [4] on the one hand and BCC model by Banker et al. [3] on the other hand are the most common used approaches of data envelopment analysis (DEA). If we measure efficiency of decision making units (DMUs) by the BCC model, technology is characterized by variable returns to scale. If the inputs and outputs of a DMU are scaled by two parameters such that the BCC (in)efficiency score is unchanged we call this adaptation a bicentric scaling (BS). We introduce a linear program to calculate the BS stability region of all DMUs, efficient or inefficient. Moreover we determine the scale efficiency within the stability region. The new approach is illustrated by a numerical example of European health services. We demonstrate the BS stability region for various states and illustrate consequences on scale efficiency. It is shown that some states can improve scale efficiency without losing BCC efficiency.
Literatur
1.
Zurück zum Zitat Alexander, C. A., Busch, G., & Stringer, K. (2003). Implementing and interpreting a data envelopment analysis model to assess the efficiency of health systems in developing countries. IMA Journal of Management Mathematics, 14, 49–63. Alexander, C. A., Busch, G., & Stringer, K. (2003). Implementing and interpreting a data envelopment analysis model to assess the efficiency of health systems in developing countries. IMA Journal of Management Mathematics, 14, 49–63.
2.
Zurück zum Zitat Banker, R. D. (1984). Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research, 17, 35–44 Banker, R. D. (1984). Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research, 17, 35–44
3.
Zurück zum Zitat Banker, R. D., Charnes, A., Cooper, W. W. (1984). Some models for estimating technical and scale inefficiences in data envelopment analysis. Management Science, 30, 1078–1091. Banker, R. D., Charnes, A., Cooper, W. W. (1984). Some models for estimating technical and scale inefficiences in data envelopment analysis. Management Science, 30, 1078–1091.
4.
Zurück zum Zitat Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. EJOR, 2, 429–444. CrossRef Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. EJOR, 2, 429–444. CrossRef
5.
Zurück zum Zitat Charnes, A., Cooper, W. W., Lewin, A. Y., Morey, R. C., Rousseau, J. (1985). Sensitivity and stability analysis in DEA. Annals OR, 2, 139–156. Charnes, A., Cooper, W. W., Lewin, A. Y., Morey, R. C., Rousseau, J. (1985). Sensitivity and stability analysis in DEA. Annals OR, 2, 139–156.
6.
Zurück zum Zitat Charnes, A., Rousseau, J., Semple, J. (1996). Sensitivity and stability analysis of efficiency classifications in data envelopment analysis. Journal of Productivity Analysis, 7, 5–18. Charnes, A., Rousseau, J., Semple, J. (1996). Sensitivity and stability analysis of efficiency classifications in data envelopment analysis. Journal of Productivity Analysis, 7, 5–18.
7.
Zurück zum Zitat Cooper, W. W., Li, S., Seiford, L. M., Tone, K., Thrall, R. M., Zhu, J. (2001). Sensitivity and stability analysis in DEA: Some recent developments. Journal of Production Analysis, 15, 217–246. Cooper, W. W., Li, S., Seiford, L. M., Tone, K., Thrall, R. M., Zhu, J. (2001). Sensitivity and stability analysis in DEA: Some recent developments. Journal of Production Analysis, 15, 217–246.
8.
Zurück zum Zitat Cooper, W. W., Seiford, L. M., & Tone, K. (2007). Data envelopment analysis—A comprehensive text with models, applications, references and DEA-Solver software. New York: Springer. Cooper, W. W., Seiford, L. M., & Tone, K. (2007). Data envelopment analysis—A comprehensive text with models, applications, references and DEA-Solver software. New York: Springer.
9.
Zurück zum Zitat Dellnitz, A., Kleine, A., & Rödder, W. (2012). Ökonomische Interpretationen der Skalenvariablen u in der DEA. Diskussionsbeitrag der Fakultät für Wirtschaftswissenschaft: FernUniversität in Hagen. 480. Dellnitz, A., Kleine, A., & Rödder, W. (2012). Ökonomische Interpretationen der Skalenvariablen u in der DEA. Diskussionsbeitrag der Fakultät für Wirtschaftswissenschaft: FernUniversität in Hagen. 480.
10.
Zurück zum Zitat Emrouznejad, A., Parker, B. R., & Tavares, G. (2008). Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholary literature in DEA. Journal of Socio-Economic Planning Science, 42, 151–157. CrossRef Emrouznejad, A., Parker, B. R., & Tavares, G. (2008). Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholary literature in DEA. Journal of Socio-Economic Planning Science, 42, 151–157. CrossRef
11.
Zurück zum Zitat Jahanshahloo, G. R., Hosseinzadeh, F., Shoja, N., Sanei, M., Tohidi, G. (2005). Sensitivity and stability analysis in DEA. Applied Mathematics and Computation, 169, 897–904. Jahanshahloo, G. R., Hosseinzadeh, F., Shoja, N., Sanei, M., Tohidi, G. (2005). Sensitivity and stability analysis in DEA. Applied Mathematics and Computation, 169, 897–904.
12.
Zurück zum Zitat Kleine, A. (2004), A general model framework for DEA. Omega, 32, 17–23. Kleine, A. (2004), A general model framework for DEA. Omega, 32, 17–23.
13.
Zurück zum Zitat Puig-Junoy, J. (1998). Measuring health production performance in the OECD. Applied Economics Letters, 5, 255–259. CrossRef Puig-Junoy, J. (1998). Measuring health production performance in the OECD. Applied Economics Letters, 5, 255–259. CrossRef
14.
Zurück zum Zitat World Health Organisation. (2012). World Heath Statistics 2012. Geneva: WHO Press. World Health Organisation. (2012). World Heath Statistics 2012. Geneva: WHO Press.
15.
Zurück zum Zitat Zhu, J. (1996). Robustness of the efficient DMUs in data envelopment analysis. EJOR, 90, 451–460. CrossRef Zhu, J. (1996). Robustness of the efficient DMUs in data envelopment analysis. EJOR, 90, 451–460. CrossRef
Metadaten
Titel
Sensitivity Analysis of BCC Efficiency in DEA with Application to European Health Services
verfasst von
Andreas Kleine
Andreas Dellnitz
Wilhelm Rödder
Copyright-Jahr
2014
DOI
https://doi.org/10.1007/978-3-319-07001-8_33

Premium Partner