DEA altruism and exclusiveness cross-efficiency evaluation models

Document Type : Article

Authors

1 School of Business, Applied Technology College of Soochow University, Suzhou 215325, PR China

2 Research Center for Smarter Supply Chain, Soochow Think Tank & Dongwu Business School, Soochow University, Suzhou 215012, PR China.

3 School of Business, Central South University, 410083 Hunan, PR China.

4 School of Management, University of Science and Technology of China, Hefei 230026, PR China.

5 School of Business, Jiangnan University, Wuxi, 214122, PR China.

Abstract

s an effective method for evaluating efficiency, the cross-efficiency evaluation method has been widely used to assess the performance of decision-making units (DMUs). However, the non-uniqueness of optimal weights problem has reduced the effectiveness of this method. To address this problem, scholars proposed to use secondary goals and presented many secondary goal models. In this pa-per, two new secondary goal models are presented, in order to further extend the above-mentioned existing secondary goal models.......

Keywords

References

References:
[1] Charnes, A., Cooper, W.W. and Rhodes, E. Measuring the efficiency of decision making units". European journal of operational research, 2(6), pp. 429{444 (1978).
[2] Chu, J.F.,Wu, J. and Song, M.L. An sbm-dea model with parallel computing design for environmental efficiency evaluation in the big data context:A transportation system application". Annals of Operations Research, pp. 1{20 (2016).
[3] Chu, J., Wu, J., Zhu, Q., An, Q. and Xiong, B. Analysis of chinas regional eco-efficiency: a dea two-stage network approach with equitable efficiency decomposition". Computational Economics, pp. 1{23 (2016).
[4] Adler, N., Friedman, L. and Sinuany-Stern, Z. Review of ranking methods in the data envelopment analysis context". European journal of operational research, 140(2), pp. 249{265 (2002).
[5] Sexton, T.R., Silkman, R.H. and Hogan, A.J. Data envelopment analysis: Critique and extensions". New Directions for Evaluation, 1986(32), pp. 73{105 (1986).
[6] Anderson, T.R., Hollingsworth, K. and Inman, L. The fixed weighting nature of a cross-evaluation model". Journal of Productivity Analysis, 17(3),pp. 249{255 (2002).
[7] Boussofiane, A., Dyson, R.G. and Thanassoulis, E. Applied data envel-opment analysis". European Journal of Operational Research, 52(1), pp. 1{15 (1991).
[8] Shang, J. and Sueyoshi, T. A unified framework for the selection of a flexible manufacturing system". European Journal of Operational Research, 85(2), pp. 297{315 (1995).
[9] Baker, R. and Talluri, S. A closer look at the use of data envelopment analysis for technology selection". Computers & Industrial Engineering, 32(1), pp. 101{108 (1997).
[10] Green, R.H., Doyle, J.R. and Cook, W.D. Preference voting and project ranking using dea and cross-evaluation". European Journal of Operational Research, 90(3), pp. 461{472 (1996).
[11] Ertay, T. and Ruan, D. Data envelopment analysis based decision model for optimal operator allocation in cms". European Journal of Operational Research, 164(3), pp. 800{810 (2005).
[12] Wu, J., Liang, L., Zha, Y. and Yang, F. Determination of cross-efficiency under the principle of rank priority in cross-evaluation". Expert Systems with Applications, 36(3), pp. 4826{4829 (2009).
[13] Roboredo, M.C., Aizemberg, L. and Meza, L.A. The dea game cross efficiency model applied to the brazilian football championship". Procedia Computer Science, 55, pp. 758{763 (2015).
[14] Doyle, J. and Green, R. Efficiency and cross-efficiency in dea: Derivations, meanings and uses". Journal of the operational research society, 45(5), pp. 567{578 (1994).
[15] Liang, L., Wu, J., Cook, W.D. and Zhu, J. Alternative secondary goals in dea cross-efficiency evaluation". International Journal of Production Economics, 113(2), pp. 1025{1030 (2008).
[16] Wang, Y.M., Chin, K.S. and Luo, Y. Cross-eciency evaluation based on ideal and anti-ideal decision making units". Expert systems with applications, 38(8), pp. 10312{10319 (2011).
[17] Lim, S. Minimax and maximin formulations of cross-efficiency in dea". Computers & Industrial Engineering, 62(3), pp. 726{731 (2012).
[18] Wu, J., Chu, J., Sun, J. and Zhu, Q. Dea cross-efficiency evaluation based on pareto improvement". European Journal of Operational Research, 248(2), pp. 571{579 (2016).
[19] Wang, Y.M., Chin, K.S. and Jiang, P. Weight determination in the cross-efficiency evaluation". Computers & Industrial Engineering, 61(3), pp. 497{502 (2011).
[20] Wu, J., Sun, J. and Liang, L. Cross efficiency evaluation method based on weight-balanced data envelopment analysis model". Computers & Industrial Engineering, 63(2), pp. 513{519 (2012).
[21] Sun, J., Yang, R., Ji, X. and Wu, J. Evaluation of decision-making units based on the weight-optimized dea model". Kybernetika, 53(2), pp. 244{ 262 (2017).
[22] Wu, J., Liang, L. and Zha, Y. Preference voting and ranking using dea game cross efficiency model (< special issue> operations research for performance evaluation)". Journal of the Operations Research Society of Japan,52(2), pp. 105{111 (2009).
[23] Song, L. and Liu, F. An improvement in dea cross-efficiency aggregation based on the shannon entropy". International Transactions in Operational Research (2016).
[24] Ruiz, J.L. and Sirvent, I. Fuzzy cross-efficiency evaluation: a possibility approach". Fuzzy Optimization and Decision Making, 16(1), pp. 111{126 (2017).
[25] Chen, H. Average lexicographic eciency for data envelopment analysis".Omega (2017).
[26] Liu, H.h., Song, Y.y. and Yang, G.l. Cross-eciency evaluation in data envelopment analysis based on prospect theory". European Journal of Operational Research (2018).[27] Kao, C. and Liu, S.T. Cross efficiency measurement and decomposition in two basic network systems". Omega (2018).
[28] Liang, L., Wu, J., Cook, W.D. and Zhu, J. The dea game cross-efficiency model and its nash equilibrium". Operations Research, 56(5), pp. 1278{ 1288 (2008).
[29] Wu, J., Liang, L. and Chen, Y. Dea game cross-efficiency approach to olympic rankings". Omega, 37(4), pp. 909{918 (2009).
[30] Sun, J., Fu, Y., Ji, X. and Zhong, R.Y. Allocation of emission permits using dea-game-theoretic model". Operational Research, 17(3), pp. 867{884(2017).
[31] Liu, X., Chu, J., Yin, P. and Sun, J. Dea cross-efficiency evaluation considering undesirable output and ranking priority: a case study of eco-efficiency analysis of coal-fired power plants". Journal of Cleaner Production, 142,pp. 877{885 (2017).
[32] Chen, W., Zhou, K. and Yang, S. Evaluation of chinas electric energy efficiency under environmental constraints: A dea cross efficiency model based on game relationship". Journal of Cleaner Production, 164, pp. 38{44 (2017).
Scientia Iranica
Volume 27, Issue 5 - Serial Number 5
Transactions on Industrial Engineering (E)
September and October 2020
Pages 2499-2513

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History

  • Receive Date: 10 July 2017
  • Revise Date: 18 August 2018
  • Accept Date: 29 April 2019

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