Current Trends in Public Sector Research. Proceedings of the 24th International Conference


Application of the Non-parametric DEA method to Analyze the Efficiency of selected services provided by municipalities, example of public libraries

Rok vydání: 2020


The paper deals with the possibility of applying the DEA method to measure the efficiency of local public services provided by municipalities and towns in the Czech Republic. It is testing and modeling data on the effectiveness of local libraries, which for 100 years had to provide basic education and disseminate education in municipalities.
There are many models in the literature dealing with various problems of efficiency analysis. A particularly suitable and elegant model is the DEA model based on Chebyshev distance. This model can be formulated with both the assumption of constant range returns and the assumption of variable range returns. Similar to the classical DEA model, this method can be formulated as a set of optimization problems looking for weights for given inputs and outputs.

Klíčová slova

Technical Efficiency; DEA; Local Services; Municipalities; Public Libraries.


[1] ATICI K.B,, PODINOVSKI V.V. 2015. Using Data Envelopment Analysis for the Assessment of Technical Efficiency of Units with Different Specialisations: An Application to Agriculture. Omega 54:72-83, DOI 10.1016/


[2] DE WITTE K., MARQUES R.C. 2010. Incorporating Heterogeneity in Non-Parametric Models : A Methodological Comparison. International Journal of Operational Research 9(2):188-204, DOI 10.1504/ijor.2010.035044.


[3] DE WITTE, K.,GEYS, B. 2011. Evaluating efficient public good provision: Theory and evidence from a generalised conditional efficiency model for public libraries. Journal of Urban Economics, 69(3), 319-327.


[4] DE WITTE, K., GEYS, B. 2012. Citizen coproduction and efficient public good provision: Theory and evidence from local public libraries (Discussion paper). Berlin, Germany: Social Science Research Center Berlin (WZB).


[5] FUKUYAMA H., MATOUSEK R. 2017. Modelling Bank Performance: A Network DEA Approach. 259(2):721-732, DOI 10.1016/j.ejor.2016.10.044.


[6] HOLÝ V. 2019. The Impact of Operating Environment on E_ciency of Public Libraries. Working Paper.


[7] HOLÝ V., ŠAFR K. 2018. Are Economically Advanced Countries More Efficient in Basic and Applied Research? Central European Journal of Operations Research 26(4):933-950, DOI 10.1007/s10100-018-0559-2.


[8] CHARNES, A., COOPER, W. W., RHODES, E. 1978. Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429-444.


[9] JABLONSKY J. (2016) Efficiency Analysis in Multi-Period Systems: An Application to Performance Evaluation in Czech Higher Education. Central European Journal of Operations Research 24(2):283-296, DOI 10.1007/s10100-015-0401-z.


[10] JO, S., PARK, T., LEE, G., YOON, D. 2009. An analysis of the relative efficiency for the national university libraries using DEA model. The Journal of Korea Library Information Science Society, 40(1), 253-274.


[11] KWACK, Y. J. 1993. Research note: Analysis of efficiency trend in university's libraries: A data envelopment analysis approach. Journal of Management, 9(1), 183-206.


[12] HAMMOND, C. 2002. Efficiency in the provision of public services: A data envelopment analysis of UK public library systems. Applied Economics, 34(5), 649-657.


[13] MANN, G. M. 1997. Efficiency evaluations of North American university libraries: Data envelopment analysis. Montreal, Canada: McGill University.


[14] OZCAN Y.A., KHUSHALANI J. 2017 Assessing E_ciency of Public Health and Medical Care Provision in OECD Countries After a Decade of Reform. Central European Journal of Operations Research 25(2):325-343, DOI 10.1007/s10100-016-0440-0.


[15] REICHMANN, G. 2004. Measuring university library efficiency using data envelopment analysis. Libri, 54(2), 136-146.


[16] REICHMANN, G., & SOMMERSGUTER-REICHMANN, M. 2010. Efficiency measures and productivity indexes in the context of university library benchmarking. Applied Economics, 42(3), 311-323.


[17] SHABANI A., VISANI F., BARBIERI P., DULLAERT W., VIGO D. 2019. Reliable Estimation of Suppliers' Total Cost of Ownership: An Imprecise Data Envelopment Analysis Model with Common Weights. Omega 87:57-70, DOI 10.1016/


[18] STROOBANTS, J., & BOUCKAERT, G. 2014. Benchmarking local public libraries using non-parametric frontier methods: A case study of Flanders, Library & Information Science Research,


[19] YANG H., POLLITT M. 2009 Incorporating Both Undesirable Outputs and Uncontrollable Variables into DEA: The Performance of Chinese Coal-Fired Power Plants. European Journal of Operational Research 197(3):1095-1105, DOI 10.1016/j.ejor.2007.12.052.


[20] VRABKOVÁ I., FRIEDRICH V. 2019. The Productivity of Main Services of City Libraries: Using the Example from the Czech Republic and the Slovak Republic. Library & Information Science Research 41(3):100962/1-100962/11, DOI 10.1016/j.lisr.2019.100962


[21] VITALIANO, D. F. 1998. Assessing public library efficiency using data envelopment analysis. Annals of Public and Cooperative Economics, 69(1), 107-122.


[22] WU J., ZHU Q., CHU J., LIU H., LIANG L. 2016. Measuring Energy and Environmental Efficiency of Transportation Systems in China Based on a Parallel DEA Approach. Transportation Research, Part D: Transport and Environment 48:460-472, DOI 10.1016/j.trd.2015.08.001.