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Open Access

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

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.

Keywords

approximation algorithmpriority facility locationprimal-dual

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Tsinghua Science and Technology
Volume 29 Issue 6,
December 2024
Pages 1694-1702
DOI: 10.26599/TST.2023.9010152
Cite this article:
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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Received: 06 July 2023
Revised: 04 October 2023
Accepted: 04 December 2023
Published: 20 June 2024
© The Author(s) 2024.

The articles published in this open access journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).
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