Performance analysis in production processes in the presence of fixed-sum outputs

Subject Areas : Statistics

A. R. Amirteimoori ¹ , S. Masroori ² , S. Kordrostami ³

1 - Department of mathematics Rasht Azad Branch
2 - Islamic Azad University, Rasht
3 - Islamic Azad university of Lahidjan,

Received: 2017-07-08 Accepted : 2019-09-17 Published : 2019-04-21

Keywords: تحلیل پوششی داده‌ها, کارایی, OECD, dependent&amp, ndash, context,

Abstract :

Performance measurement in the presence of fixed-sum outputs in data envelopment analysis (DEA) is an interesting and most frequently studied subject in the field of operations research. Different definitions of relative efficiency in the presence of fixed-sum outputs have been proposed in the literature of data envelopment analysis and in all of the existing definitions a common equilibrium efficient frontier is given. We will show that determining a single equilibrium efficient frontier may leads to a large trade-off between the decision making units and this may be impossible in real cases. In this paper, we propose a context-based data envelopment analysis approach to evaluate the relative performance of the decision making units when fixed-sum outputs are exist in production process. The approach proposed in this paper uses the context based data envelopment analysis to determine an efficiency score to each DMU. To illustrate the real applicability of the proposed approach, a real case on 21 OCED countries is given.

References:

[1] Amirteimoori, A., Masrouri, S., Yang, F., Kordrostami, S.(2017), Context-based competition strategy and performance analysis with fixed-sum outputs: An application to banking sector. The Operational Research Society, In press.

 

[2] Banker, R. D., Charnes, A., Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30, 1078–1092.

 

[3] Charnes, A., Cooper, W. W., Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429–444.

 

[4] Cooper, W. W., Ruiz, J., Sirvent., I. (2009). Selecting non-zero weights to evaluate effectiveness of basketball players with DEA. European Journal of Operational Research,195, 563-574.

 

[5] Debreu, G. (1951). The coefficient of resource utilization. Econometrica, 19(3), 273–292.

 

[6] Gomes, E.G., Lins, M.P.E. (2008). Modelling undesirable outputs with zero sum gainsdata envelopment analysis models. Journal of the Operational Research Society, 59, 616–623.

 

[7] Jaffry, S., Ghulam, Y., Cox, J. (2013). Trends in efficiency in response to regulatoryreforms: The case of Indian and Pakistani commercial banks, European Journal of Operational Research, 226, 122-131.

 

[8] Kao, C., Huang, S.N. (2008). Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan. European Journal of Operational Research, 185, 418–429.

 

[9] Kao, C., Liu, S.T. (2014). Multi-period efficiency measurement in data envelopment analysis: The case of Taiwanese commercial banks. Omega, 47, 90-98.

 

[10] Koopmans, T.C. (1951). Analysis of production as an efficient combination of activities. In: Koopmans, T.C. (Ed), Activity Analysis of production and Allocation. Cowles Commission, Wiely, New York, 33-97.

 

[11] Koshandam, L., Amirteimoori, A., Kazemimatin, R. (2014). Marginal rates ofsubstitution in the presence of non-discretionary factors: A data envelopment analysisapproach. Measurement, 58, 409-415.

 

[12] Koshandam, L., Kazemimatin, R., Amirteimoori, A. (2015). Marginal rates ofsubstitution in data envelopment analysis with undesirable outputs: A directional approach. Measurement, 68, 49-57.

 

[13] Lins, M. P. E., Gomes, E. G., Soares de Mello, J.C.C.B., Soares de Mello, A.J.R. (2003). Olympic ranking based on a zero sum gains DEA model. European Journal of Operational Research, 148, 312–322.

 

[14] Maghbouli, M., Amirteimoori, A., Kordrostami, S. (2014). Two-stage network structures with undesirable outputs: A DEA based approach. Measurement, 48, 109-118.

 

[15] Matousek, R., Tzeremes, N.G. (2016). CEO compensation and bank efficiency: An application of conditional nonparametric frontiers. European Journal of Operational Research, 251, 264-273.

 

[16] Wanke, P., Azad, A. K., and Barros, C. P. (2016). Efficiency factors in OECD banks: A ten-year analysis. Expert Systems with Applications, 64, 208-227.

 

[17] Yang, F., Wu, D. D., Liang, L., O’Neill, L. (2011). Competition strategy and efficiency evaluation for decision making units with fixed-sum outputs. European Journal of Operational Research, 212, 560-569.

 

[18] Yang, M., Li, Y., Chen, Y., Liang, L. (2014). An equilibrium efficiency frontier dataenvelopment analysis approach for evaluating decision-making units with fixed-sum outputs.European Journal of Operational Research, 239, 479–489.

 

[19] Yang, M., Li, Y., Liang, L. (2015). A generalized equilibrium efficient frontier data envelopment analysis approach for evaluating DMUs with fixed-sum outputs. European Journal of Operational Research, 246, 209-217.