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A cost-sharing method for an uncapacitated facility location game with penalties

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Abstract

This paper considers a variant of the classical facility location game called the uncapacitated facility location game with penalties (UFLGWP). Unlike the standard UFLG, each client in the UFLGWP is either assigned to an open facility or rejected by paying a penalty. The authors propose a 3-approximate cross-monotonic cost-sharing method for the UFLGWP.

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Correspondence to Zhen Wang.

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This paper was supported by the National Natural Science Foundation of China under Grant Nos. 60773185 and 11071268, and Program for Beijing Excellent Talents.

This paper was recommended for publication by Editor Shouyang WANG.

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Wang, Z., Xu, D. A cost-sharing method for an uncapacitated facility location game with penalties. J Syst Sci Complex 25, 287–292 (2012). https://doi.org/10.1007/s11424-012-9067-y

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  • DOI: https://doi.org/10.1007/s11424-012-9067-y

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