A New Approach for Fixed Cost Allocation in DEA Based on the Value Efficiency Analysis

Authors

https://doi.org/10.22105/raise.v1i3.58

Abstract

Fixed cost allocation among Decision-Making Units (DMUs) should be based on a fair plan. This paper presents a new approach based on value efficiency analysis. In this regard, we first calculate the value efficiency scores of the DMUs by selecting the Most Preferred Solution (MPS) units. These units can be the units that have the best performance from the Decision-Maker (DM) point of view. In the following, we present an algorithm for providing a fixed cost allocation plan among DMUs based on the value efficiency analysis in Data Envelopment Analysis (DEA). Fixed cost allocation is done by choosing the efficiency invariance strategy. Value efficiency analysis was used to design a fixed cost allocation plan using the DMs preferred information.

Keywords:

Data envelopment analysis, Fixed cost allocation, Value efficiency, Efficiency invariance

References

  1. [1] 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. https://doi.org/10.1016/S0377-2217(98)00337-3
  2. [2] 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. https://doi.org/10.1016/S0096-3003(03)00631-3
  3. [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. https://doi.org/10.1016/j.cor.2004.02.007
  4. [4] Lin, R. (2011). Allocating fixed costs or resources and setting targets via data envelopment analysis. Applied mathematics and computation, 217(13), 6349–6358. https://doi.org/10.1016/j.amc.2011.01.008
  5. [5] Lin, R. (2011). Allocating fixed costs and common revenue via data envelopment analysis. Applied mathematics and computation, 218(7), 3680–3688. https://doi.org/10.1016/j.amc.2011.09.011
  6. [6] Beasley, J. E. (2003). Allocating fixed costs and resources via data envelopment analysis. European journal of operational research, 147(1), 198–216. https://doi.org/10.1016/S0377-2217(02)00244-8
  7. [7] 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. https://doi.org/10.1016/j.amc.2012.12.085
  8. [8] 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. https://doi.org/10.1057/jors.2012.56
  9. [9] 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. https://doi.org/10.1016/j.ejor.2013.10.002
  10. [10] 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. https://doi.org/10.1016/j.apm.2015.06.039
  11. [11] 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, 223–240. https://doi.org/10.1007/s00186-016-0563-z
  12. [12] Li, F., Song, J., Dolgui, A., & Liang, L. (2017). Using common weights and efficiency invariance principles for resource allocation and target setting. International journal of production research, 55(17), 4982–4997. https://doi.org/10.1080/00207543.2017.1287450
  13. [13] Zhu, W., Zhang, Q., & Wang, H. (2019). Fixed costs and shared resources allocation in two-stage network DEA. Annals of operations research, 278, 177–194. https://doi.org/10.1007/s10479-017-2599-8
  14. [14] 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, 373–394. https://doi.org/10.1007/s10479-018-2860-9
  15. [15] An, Q., Wang, P., Emrouznejad, A., & Hu, J. (2020). Fixed cost allocation based on the principle of efficiency invariance in two-stage systems. European journal of operational research, 283(2), 662–675. https://doi.org/10.1016/j.ejor.2019.11.031
  16. [16] Chu, J., Wu, J., Chu, C., & Zhang, T. (2020). DEA-based fixed cost allocation in two-stage systems: leader-follower and satisfaction degree bargaining game approaches. Omega, 94, 102054. https://doi.org/10.1016/j.omega.2019.03.012
  17. [17] Dai, Q., Li, Y., Lei, X., & Wu, D. (2021). A DEA-based incentive approach for allocating common revenues or fixed costs. European journal of operational research, 292(2), 675–686. https://doi.org/10.1016/j.ejor.2020.11.006
  18. [18] An, Q., Tao, X., Xiong, B., & Chen, X. (2022). Frontier-based incentive mechanisms for allocating common revenues or fixed costs. European journal of operational research, 302(1), 294–308. https://doi.org/10.1016/j.ejor.2021.12.039
  19. [19] Chu, J., Su, W., Li, F., & Yuan, Z. (2023). Individual rationality and overall fairness in fixed cost allocation: An approach under DEA cross-efficiency evaluation mechanism. Journal of the operational research society, 74(3), 992–1007. https://doi.org/10.1080/01605682.2022.2079434
  20. [20] Yang, J., Li, D., & Li, Y. (2024). A generalized data envelopment analysis approach for fixed cost allocation with preference information. Omega, 122, 102948. https://doi.org/10.1016/j.omega.2023.102948
  21. [21] Zhang, D., Wu, H., Li, F., & Song, Y. (2024). Fixed cost allocation based on a data envelopment analysis aggressive game approach. Computers & industrial engineering, 193, 110316. https://doi.org/10.1016/j.cie.2024.110316
  22. [22] Halme, M., Korhonen, P., & Eskelinen, J. (2014). Non-convex value efficiency analysis and its application to bank branch sales evaluation. Omega, 48, 10–18. https://doi.org/10.1016/j.omega.2014.04.002
  23. [23] Joro, T., Korhonen, P., & Zionts, S. (2003). An interactive approach to improve estimates of value efficiency in data envelopment analysis. European journal of operational research, 149(3), 688–699. https://doi.org/10.1016/S0377-2217(02)00458-7
  24. [24] Gerami, J. (2019). An interactive procedure to improve estimate of value efficiency in DEA. Expert systems with applications, 137, 29–45. https://doi.org/10.1016/j.eswa.2019.06.061
  25. [25] Gerami, J., Mozaffari, M. R., Wanke, P. F., & Correa, H. L. (2022). Improving information reliability of non-radial value efficiency analysis: An additive slacks based measure approach. European journal of operational research, 298(3), 967–978. https://doi.org/10.1016/j.ejor.2021.07.036
  26. [26] Gerami, J., Mozaffari, M. R., Wanke, P. F., & Correa, H. L. (2023). A generalized inverse DEA model for firm restructuring based on value efficiency. IMA journal of management mathematics, 34(3), 541–580. https://doi.org/10.1093/imaman/dpab043

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Published

2024-09-18

Issue

Vol. 1 No. 3 (2024): Research Annals of Industrial and Systems Engineering

Section

Articles

How to Cite

A New Approach for Fixed Cost Allocation in DEA Based on the Value Efficiency Analysis. (2024). Research Annals of Industrial and Systems Engineering, 1(3), 171-181. https://doi.org/10.22105/raise.v1i3.58

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