Journal of the Operations Research Society of China ›› 2022, Vol. 10 ›› Issue (1): 173-182.doi: 10.1007/s40305-021-00345-w

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A Cost-Sharing Scheme for the k-Level Facility Location Game with Penalties

Feng-Min Wang1, Jia-Jia Wang1, Na Li1, Yan-Jun Jiang2, Shi-Cheng Li1,3   

  1. 1 Beijing Jinghang Research Institute of Computing and Communication, Beijing 100074, China;
    2 School of Mathematics and Statistics Science, Ludong University, Yantai 264025, Shandong, China;
    3 The Classified Information Carrier Safety Management Engineering Technology Research Center of Beijing, Beijing 100074, China
  • Received:2020-09-02 Revised:2020-12-11 Online:2022-03-30 Published:2022-03-23
  • Contact: Feng-Min Wang, Jia-Jia Wang, Na Li, Yan-Jun Jiang, Shi-Cheng Li E-mail:casic_wfm@163.com;gaga214@126.com;nar_lee@sina.com;jyjmath@163.com;l_shicheng@sina.com

Abstract: In the k-level facility location problem with penalties,each client will be either serviced or rejected completely. And if the client is planned to be serviced, then it must be connected to asequence of k different kinds of facilities located in k levels of hierarchy. The total cost including the facility cost, connection cost and penalty cost will be jointly paid by all the clients. In the corresponding game of the k-level facility location problem with penalties, called the k-level facility location game with penalties, the total cost should be allocated to different clients. This work set out a cost-sharing scheme for the k-level facility location game with penalties that is cross-monotonic, competitive, and the approximate cost recovery is 6.

Key words: Cost-sharing scheme, Cross-monotonic, Competitive, k-level facility location game

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