A bargaining game model for measuring efficiency of two-stage network DEA with non-discretionary inputs

References

• R.D. Banker, and R. Morey, Efficiency analysis for exogenously fixed inputs and outputs. Oper. Res. 34 (1986), pp. 513–521. doi: 10.1287/opre.34.4.513
   Web of Science ®Google Scholar
• A.S. Camanho, M.C. Portela, and C.B. Vaz, Efficiency analysis accounting for internal and external non-discretionary factors. Comput. Oper. Res. 36 (2009), pp. 1591–1601. doi: 10.1016/j.cor.2008.03.002
   Web of Science ®Google Scholar
• A. Charnes, W.W. Cooper, and E. Rhodes, Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978), pp. 429–444. doi: 10.1016/0377-2217(78)90138-8
   Web of Science ®Google Scholar
• L. Chen, F. Lai, Y.M. Wang, Y. Huang, and F.M. Wu, A two-stage network data envelopment analysis approach for measuring and decomposing environmental efficiency. Comput. Ind. Eng. 119 (2018), pp. 388–403. doi: 10.1016/j.cie.2018.04.011
   Web of Science ®Google Scholar
• J. Chu, J. Wu, C. Chu, and T. Zhang, DEA-based fixed cost allocation in two-stage systems: Leader-follower and satisfaction degree bargaining game approaches. Omega (2019).
   Web of Science ®Google Scholar
• W.D. Cook, and J. Zhu, Data Envelopment Analysis – A Handbook of Modeling. Internal Structure and Network, Springer, 2014.
   Google Scholar
• J. Du, L. Liang, Y. Chen, W.D. Cook, and J. Zhu, A bargaining game model for measuring performance of two-stage network structures. Eur. J. Oper. Res. 210 (2011), pp. 390–397. doi: 10.1016/j.ejor.2010.08.025
   Web of Science ®Google Scholar
• H. Fukuyama, and W.L. Weber, A slacks-based inefficiency measure for a two-stage system with bad outputs. Omega Int. J. Manage. Sci. 38 (2010), pp. 398–409. doi: 10.1016/j.omega.2009.10.006
   Web of Science ®Google Scholar
• D.U.A. Galagedera, Modelling social responsibility in mutual fund performance appraisal: a two-stage data envelopment analysis model with non-discretionary first stage output. Eur. J. Oper. Res. 273 (2019), pp. 376–389. doi: 10.1016/j.ejor.2018.08.011
   Web of Science ®Google Scholar
• B. Golany, S.T. Hackman, and U. Passy, An efficiency measurement framework for multi-stage production systems. Ann. Oper. Res. 145 (2006), pp. 51–68. doi: 10.1007/s10479-006-0025-8
   Web of Science ®Google Scholar
• B. Golany, and Y. Roll, Some extensions of techniques to handle non-discretionary factors in data envelopment analysis. J. Prod. Anal. 4 (1993), pp. 419–432. doi: 10.1007/BF01073549
   Google Scholar
• C. Kao, Efficiency measurement for parallel production systems. Eur. J. Oper. Res. 196 (2009), pp. 1107–1112. doi: 10.1016/j.ejor.2008.04.020
   Web of Science ®Google Scholar
• C. Kao, Efficiency measurement and frontier projection identification for general two-stage system in data envelopment analysis. Eur. J. Oper. Res. 261 (2017), pp. 679–689. doi: 10.1016/j.ejor.2017.03.016
   Web of Science ®Google Scholar
• C. Kao, and S.N. Hwang, Efficiency measurement for network systems: IT impact on firm performance. Decis. Support. Syst. 48 (2010), pp. 437–446. doi: 10.1016/j.dss.2009.06.002
   Web of Science ®Google Scholar
• C. Kao, and S.T. Liu, Cross efficiency measurement and decomposition in two basic network systems. Omega. (Westport) 83 (2019), pp. 70–79.
   Web of Science ®Google Scholar
• S. Lim, and J. Zhu, Primal–dual correspondence and frontier projections in two-stage network DEA models. Omega. (Westport) 83 (2019), pp. 236–248.
   Web of Science ®Google Scholar
• C.A.K. Lovell, Linear programming approaches to the measurement and analysis of productive efficiency. Top 2 (1994), pp. 175–248. doi: 10.1007/BF02574810
   Google Scholar
• S. Lozano, A joint-inputs network DEA approach to production and pollution-generating technologies. Expert. Syst. Appl. 42 (2015), pp. 7960–7968. doi: 10.1016/j.eswa.2015.06.023
   Web of Science ®Google Scholar
• J. Ma, L. Qi, and L. Deng, Efficiency measurement and decomposition in hybrid two-stage DEA with additional inputs. Expert. Syst. Appl. 79 (2017), pp. 348–357. doi: 10.1016/j.eswa.2017.03.016
   Web of Science ®Google Scholar
• R. Mahmoudi, S.N. Shetab-Boushehri, and S.R. Hejazi, A hybrid egalitarian bargaining game-DEA and sustainable network design approach for evaluating, selecting and scheduling urban road construction projects. Transp. Res. Part E: Logist. Transp. Rev. 130 (2019), pp. 161–183. doi: 10.1016/j.tre.2019.08.008
   Web of Science ®Google Scholar
• S. Ray, Resource use efficiency in public schools. A study of Connecticut data. Manage. Sci. 37 (1991), pp. 1620–1628. doi: 10.1287/mnsc.37.12.1620
   Web of Science ®Google Scholar
• J. Ruggiero, On the measurement of technical efficiency in the public sector. Eur. J. Oper. Res. 90 (1996), pp. 553–565. doi: 10.1016/0377-2217(94)00346-7
   Web of Science ®Google Scholar
• M. Taleb, R. Ramli, and R. Khalid, Developing a two-stage approach of super efficiency slack-based measure in the presence of non-discretionary factors and mixed integer-valued data envelopment analysis. Expert. Syst. Appl. 103 (2018), pp. 14–24. doi: 10.1016/j.eswa.2018.02.037
   Web of Science ®Google Scholar
• M. Tavana, K. Khalili-Damghani, F.J. Santos Arteaga, R. Mahmoudi, and A. Hafezalkotob, Efficiency decomposition and measurement in two-stage fuzzy DEA models using a bargaining game approach. Comput. Ind. Eng. 118 (2018), pp. 394–408. doi: 10.1016/j.cie.2018.03.010
   Web of Science ®Google Scholar
• D.D. Wu, Bi-Level programming data envelopment analysis with constrained resource. Eur. J. Oper. Res. 207 (2010), pp. 856–864. doi: 10.1016/j.ejor.2010.05.008
   Web of Science ®Google Scholar
• J. Wu, L. Liang, F. Yang, and H. Yan, Bargaining game model in the evaluation of decision making units. Expert. Syst. Appl. 36 (2009), pp. 4357–4362. doi: 10.1016/j.eswa.2008.05.001
   Web of Science ®Google Scholar
• M.M. Yu, L.H. Chen, and B. Hsiao, A fixed cost allocation based on the two-stage network data envelopment approach. J. Bus. Res. 69 (2015), pp. 1817–1822. doi: 10.1016/j.jbusres.2015.10.062
   Web of Science ®Google Scholar
• Z. Zhou, L. Sun, W. Yang, W. Lio, and C. Ma, A bargaining game model for efficiency decomposition in the centralized model of two-stage systems. Comput. Ind. Eng. 64 (2013), pp. 103–108. doi: 10.1016/j.cie.2012.09.014
   Web of Science ®Google Scholar