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# Approximation and Heuristic Algorithms for the Priority Facility Location Problem with Outliers

Hang Luo1Lu Han2( )
International School, Beijing University of Posts and Telecommunications, Beijing 100876, China
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
Beijing Jinghang Research Institute of Computing and Communication, Beijing 100074, China
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## Abstract

In this paper, we propose the Priority Facility Location Problem with Outliers (PFLPO), which is a generalization of both the Facility Location Problem with Outliers (FLPO) and Priority Facility Location Problem (PFLP). As our main contribution, we use the technique of primal-dual to provide a 3-approximation algorithm for the PFLPO. We also give two heuristic algorithms. One of them is a greedy-based algorithm and the other is a local search algorithm. Moreover, we compare the experimental results of all the proposed algorithms in order to illustrate their performance.

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Tsinghua Science and Technology
Pages 1694-1702
Luo H, Han L, Shuai T, et al. Approximation and Heuristic Algorithms for the Priority Facility Location Problem with Outliers. Tsinghua Science and Technology, 2024, 29(6): 1694-1702. https://doi.org/10.26599/TST.2023.9010152
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