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Approximation algorithms for connected facility location problems

Author

Listed:
  • Mohammad Khairul Hasan

    (Korea Advanced Institute of Science and Technology)

  • Hyunwoo Jung

    (Korea Advanced Institute of Science and Technology)

  • Kyung-Yong Chwa

    (Korea Advanced Institute of Science and Technology)

Abstract

We study Connected Facility Location problems. We are given a connected graph G=(V,E) with nonnegative edge cost c e for each edge e∈E, a set of clients D⊆V such that each client j∈D has positive demand d j and a set of facilities F⊆V each has nonnegative opening cost f i and capacity to serve all client demands. The objective is to open a subset of facilities, say $\hat{F}$ , to assign each client j∈D to exactly one open facility i(j) and to connect all open facilities by a Steiner tree T such that the cost $\sum_{i\in \hat{F}}f_{i}+\sum_{j\in D}d_{j}c_{i(j)j}+M\sum_{e\in T}c_{e}$ is minimized for a given input parameter M≥1. We propose a LP-rounding based 8.29 approximation algorithm which improves the previous bound 8.55 (Swamy and Kumar in Algorithmica, 40:245–269, 2004). We also consider the problem when opening cost of all facilities are equal. In this case we give a 7.0 approximation algorithm.

Suggested Citation

  • Mohammad Khairul Hasan & Hyunwoo Jung & Kyung-Yong Chwa, 2008. "Approximation algorithms for connected facility location problems," Journal of Combinatorial Optimization, Springer, vol. 16(2), pages 155-172, August.
  • Handle: RePEc:spr:jcomop:v:16:y:2008:i:2:d:10.1007_s10878-007-9130-0
    DOI: 10.1007/s10878-007-9130-0
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    Cited by:

    1. Wei Ding & Ke Qiu, 2018. "A quadratic time exact algorithm for continuous connected 2-facility location problem in trees," Journal of Combinatorial Optimization, Springer, vol. 36(4), pages 1262-1298, November.
    2. Hyunwoo Jung & Mohammad Khairul Hasan & Kyung-Yong Chwa, 2009. "A 6.55 factor primal-dual approximation algorithm for the connected facility location problem," Journal of Combinatorial Optimization, Springer, vol. 18(3), pages 258-271, October.
    3. Li, Xiaopeng & Medal, Hugh & Qu, Xiaobo, 2019. "Connected infrastructure location design under additive service utilities," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 99-124.

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