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Original Articles

Allocating a fixed cost across decision making units with explicitly considering efficiency rankings

ORCID Icon, , , &
Pages 1432-1446 | Received 05 Sep 2019, Accepted 12 Jan 2020, Published online: 11 Feb 2020

References

  • Amirteimoori, A., & Kordrostami, S. (2005). Allocating fixed costs and target setting: A DEA-based approach. Applied Mathematics and Computation, 171(1), 136–151. doi:10.1016/j.amc.2005.01.064
  • An, Q., Meng, F., Xiong, B., Wang, Z., & Chen, X. (2018). Assessing the relative efficiency of Chinese high-tech industries: A dynamic network data envelopment analysis approach. Annals of Operations Research. doi:10.1007/s10479-018-2883-2.
  • An, Q., Tao, X., Dai, B., & Li, J. (2019). Modified Distance Friction Minimization Model with Undesirable Output: An Application to the Environmental Efficiency of China's Regional Industry. Computational Economics. Retrieved from https://doi.org/10.1007/s10614-019-09888-w
  • An, Q., Wang, P., Emrouznejad, A., & Hu, J. (2019). Fixed cost allocation based on the principle of efficiency invariance in two-stage systems. European Journal of Operational Research. doi:10.1016/j.ejor.2019.11.031
  • An, Q., Wen, Y., Ding, T., & Li, Y. (2019). Resource sharing and payoff allocation in a three-stage system: Integrating network DEA with the Shapley value method. Omega, 85, 16–25. doi:10.1016/j.omega.2018.05.008
  • Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30(9), 1078–1092. doi:10.1287/mnsc.30.9.1078
  • Beasley, J. E. (2003). Allocating fixed costs and resources via data envelopment analysis. European Journal of Operational Research, 147(1), 198–216. doi:10.1016/S0377-2217(02)00244-8
  • Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444. doi:10.1016/0377-2217(78)90138-8
  • Chu, J., & Jiang, H. (2019). Fixed cost allocation based on the utility: A DEA common-weight Approach. IEEE Access, 7, 72613–72621.
  • Chu, J., Wu, J., Chu, C., & Zhang, T. (2019). DEA-based fixed cost allocation in two-stage systems: Leader-follower and satisfaction degree bargaining game approaches. Omega, 102054. doi:10.1016/j.omega.2019.03.012
  • Cook, W. D., & Kress, M. (1999). Characterizing an equitable allocation of shared costs: A DEA approach. European Journal of Operational Research, 119(3), 652–661. doi:10.1016/S0377-2217(98)00337-3
  • Cook, W. D., & Zhu, J. (2005). Allocation of shared costs among decision making units: A DEA approach. Computers & Operations Research, 32(8), 2171–2178. doi:10.1016/j.cor.2004.02.007
  • Dai, Q., Li, Y., & Liang, L. (2016). Allocating fixed costs with considering the return to scale: A DEA approach. Journal of Systems Science and Complexity, 29(5), 1320–1341. doi:10.1007/s11424-015-4211-0
  • Ding, T., Chen, Y., Wu, H., & Wei, Y. (2018). Centralized fixed cost and resource allocation considering technology heterogeneity: A DEA approach. Annals of Operations Research, 268(1-2), 497–511. doi:10.1007/s10479-017-2414-6
  • Ding, T., Zhu, Q., Zhang, B., & Liang, L. (2019). Centralized fixed cost allocation for generalized two-stage network DEA. INFOR: Information Systems and Operational Research, 57(2), 123–140. doi:10.1080/03155986.2017.1397897
  • Du, J., Cook, W. D., Liang, L., & Zhu, J. (2014). Fixed cost and resource allocation based on DEA cross-efficiency. European Journal of Operational Research, 235(1), 206–214. doi:10.1016/j.ejor.2013.10.002
  • Guajardo, M., & Jörnsten, K. (2015). Common mistakes in computing the nucleolus. European Journal of Operational Research, 241(3), 931–935. doi:10.1016/j.ejor.2014.10.037
  • Jahanshahloo, G. R., Lotfi, F. H., Shoja, N., & Sanei, M. (2004). An alternative approach for equitable allocation of shared costs by using DEA. Applied Mathematics and Computation, 153(1), 267–274. doi:10.1016/S0096-3003(03)00631-3
  • Jahanshahloo, G. R., Sadeghi, J., & Khodabakhshi, M. (2017). Proposing a method for fixed cost allocation using DEA based on the efficiency invariance and common set of weights principles. Mathematical Methods of Operations Research, 85(2), 223–240.
  • Khodabakhshi, M., & Aryavash, K. (2014). The fair allocation of common fixed cost or revenue using DEA concept. Annals of Operations Research, 214(1), 187–194. doi:10.1007/s10479-012-1117-2
  • Li, F., Emrouznejad, A., Yang, G. L., & Li, Y. (2019). Carbon emission abatement quota allocation in Chinese manufacturing industries: An integrated cooperative game data envelopment analysis approach. Journal of the Operational Research Society, 1–30. doi:10.1080/01605682.2019.1609892
  • Li, F., Zhu, Q., & Chen, Z. (2019). Allocating a fixed cost across the decision making units with two-stage network structures. Omega, 83, 139–154. doi:10.1016/j.omega.2018.02.009
  • Li, F., Zhu, Q., & Liang, L. (2018). Allocating a fixed cost based on a DEA-game cross efficiency approach. Expert Systems with Applications, 96, 196–207. doi:10.1016/j.eswa.2017.12.002
  • Li, F., Zhu, Q., & Liang, L. (2019). A new data envelopment analysis based approach for fixed cost allocation. Annals of Operations Research, 274(1-2), 247–272. doi:10.1007/s10479-018-2819-x
  • Li, Y., Li, F., Emrouznejad, A., Liang, L., & Xie, Q. (2019). Allocating the fixed cost: An approach based on data envelopment analysis and cooperative game. Annals of Operations Research, 274(1-2), 373–394. doi:10.1007/s10479-018-2860-9
  • Li, Y., Shi, X., Emrouznejad, A., & Liang, L. (2019). Ranking intervals for two-stage production systems. Journal of the Operational Research Society. doi:10.1080/01605682.2018.1535267
  • Li, Y., Wang, L., & Li, F. (2019). A data-driven prediction approach for sports team performance and its application to National Basketball Association. Omega. doi:10.1016/j.omega.2019.102123
  • Li, Y., Yang, F., Liang, L., & Hua, Z. (2009). Allocating the fixed cost as a complement of other cost inputs: A DEA approach. European Journal of Operational Research, 197(1), 389–401. doi:10.1016/j.ejor.2008.06.017
  • Li, Y., Yang, M., Chen, Y., Dai, Q., & Liang, L. (2013). Allocating a fixed cost based on data envelopment analysis and satisfaction degree. Omega, 41(1), 55–60. doi:10.1016/j.omega.2011.02.008
  • Lin, R. (2011a). Allocating fixed costs and common revenue via data envelopment analysis. Applied Mathematics and Computation, 218(7), 3680–3688. doi:10.1016/j.amc.2011.09.011
  • Lin, R. (2011b). Allocating fixed costs or resources and setting targets via data envelopment analysis. Applied Mathematics and Computation, 217(13), 6349–6358. doi:10.1016/j.amc.2011.01.008
  • Lin, R., & Chen, Z. (2017). A DEA‐based method of allocating the fixed cost as a complement to the original input. International Transactions in Operational Research. doi:10.1111/itor.12495
  • Lin, R., & Chen, Z. (2016). Fixed input allocation methods based on super CCR efficiency invariance and practical feasibility. Applied Mathematical Modelling, 40(9-10), 5377–5392. doi:10.1016/j.apm.2015.06.039
  • Lin, R., Chen, Z., & Li, Z. (2016). A new approach for allocating fixed costs among decision making units. Journal of Industrial and Management Optimization, 12(1), 211–228. doi:10.3934/jimo.2016.12.211
  • Lotfi, F. H., Jahanshahloo, G. R., Allahviranloo, T., Noroozi, E., & Lotfi, A. H. (2007). Equitable allocation of shared costs on fuzzy environment. International Mathematical Forum, 2(65), 3199–3210. doi:10.12988/imf.2007.07294
  • Mostafaee, A. (2013). An equitable method for allocating fixed costs by using data envelopment analysis. Journal of the Operational Research Society, 64(3), 326–335. doi:10.1057/jors.2012.56
  • Pendharkar, P. C. (2018). A hybrid genetic algorithm and DEA approach for multi-criteria fixed cost allocation. Soft Computing, 22(22), 7315–7324. doi:10.1007/s00500-017-2605-8
  • Salo, A., & Punkka, A. (2011). Ranking intervals and dominance relations for ratio-based efficiency analysis. Management Science, 57(1), 200–214. doi:10.1287/mnsc.1100.1265
  • Seiford, L. M., & Zhu, J. (2003). Context-dependent data envelopment analysis-measuring attractiveness and progress. Omega, 31(5), 397–408. doi:10.1016/S0305-0483(03)00080-X
  • Si, X., Liang, L., Jia, G., Yang, L., Wu, H., & Li, Y. (2013). Proportional sharing and DEA in allocating the fixed cost. Applied Mathematics and Computation, 219(12), 6580–6590. doi:10.1016/j.amc.2012.12.085
  • Yin, P., Chu, J., Wu, J., Ding, J., Yang, M., & Wang, Y. (2019). A DEA-based two-stage network approach for hotel performance analysis: An internal cooperation perspective. Omega. Retrieved from https://doi.org/10.1016/j.omega.2019.02.004
  • Yu, M. M., Chen, L. H., & Hsiao, B. (2016). A fixed cost allocation based on the two-stage network data envelopment approach. Journal of Business Research, 69(5), 1817–1822. doi:10.1016/j.jbusres.2015.10.062
  • Zhu, Q., Li, X., Li, F., & Zhou, D. (2019). The potential for energy saving and carbon emission reduction in China's regional industrial sectors. Science of The Total Environment. Retrieved from https://doi.org/10.1016/j.scitotenv.2019.135009
  • Zhu, Q., Wu, J., Ji, X., & Li, F. (2018). A simple MILP to determine closest targets in non-oriented DEA model satisfying strong monotonicity. Omega, 79, 1–8. doi:10.1016/j.omega.2017.07.003
  • Zhu, W., Zhang, Q., & Wang, H. (2019). Fixed costs and shared resources allocation in two-stage network DEA. Annals of Operations Research, 278(1-2), 177–194. doi:10.1007/s10479-017-2599-8

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