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Resource allocation based on DEA and modified Shapley value

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  • Yang, Zhihua
  • Zhang, Qianwei

Abstract

In this paper, we design characteristic functions based on DEA (data envelopment analysis) efficiency, and propose a modified Shapley value to solve the resource allocation problem in a fair way, which deals with a set of comparable and homogeneous DMUs (decision making units). In addition, we establish a new Gini coefficient to reflect the fairness of resource allocation plan, by regarding the DEA efficiency and resource portion allocated to each DMU as service unit and equity unit, respectively. Numerical examples are presented to illustrate the proposed approach. The examples show that our allocation approach is the most equitable one compared with other existing approaches.

Suggested Citation

  • Yang, Zhihua & Zhang, Qianwei, 2015. "Resource allocation based on DEA and modified Shapley value," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 280-286.
    • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:280-286
    DOI: 10.1016/j.amc.2015.04.063
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    References listed on IDEAS

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    Cited by:

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    4. Qingxian An & Ping Wang & Honglin Yang & Zongrun Wang, 2021. "Fixed cost allocation in two-stage system using DEA from a noncooperative view," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 1077-1102, December.
    5. Lívia Torres & Francisco S. Ramos, 2024. "Allocating Benefits Due to Shared Resources Using Shapley Value and Nucleolus in Dynamic Network Data Envelopment Analysis," Mathematics, MDPI, vol. 12(5), pages 1-23, February.
    6. Jiekun Song & Xiaoping Ma & Rui Chen, 2021. "A Profit Distribution Model of Reverse Logistics Based on Fuzzy DEA Efficiency—Modified Shapley Value," Sustainability, MDPI, vol. 13(13), pages 1-20, June.
    7. An, Qingxian & Wang, Ping & Emrouznejad, Ali & Hu, Junhua, 2020. "Fixed cost allocation based on the principle of efficiency invariance in two-stage systems," European Journal of Operational Research, Elsevier, vol. 283(2), pages 662-675.

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