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A unified limited column generation approach for facility location problems ontrees

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  • D.X. Shaw

Abstract

In this paper, we show that several well‐known facility location problems on trees, including the Uncapacitated Facility Location Problem (UFLP), the Facility Constrained Covering Problem (FCCP), the Customer Constrained Covering Problem (CCCP), theRound‐Trip Covering Problem (RTCP), the p‐Center Problem, and the p‐Median Problem, can be formulated uniformly into a special structured Tree Partitioning Problem (TPP). Then, we develop a generic algorithm to solve all these facility location problems. Although our algorithm is a generic one, our time complexity for solving each of these problems matches the best time complexity of the “dedicated” algorithm. We believe our approach has shown much insight into the location problems on trees. Copyright Kluwer Academic Publishers 1999

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  • D.X. Shaw, 1999. "A unified limited column generation approach for facility location problems ontrees," Annals of Operations Research, Springer, vol. 87(0), pages 363-382, April.
    • Handle: RePEc:spr:annopr:v:87:y:1999:i:0:p:363-382:10.1023/a:1018901523519
    DOI: 10.1023/A:1018901523519
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    Cited by:

    1. Chandra Ade Irawan & Said Salhi & Zvi Drezner, 2016. "Hybrid meta-heuristics with VNS and exact methods: application to large unconditional and conditional vertex $$p$$ p -centre problems," Journal of Heuristics, Springer, vol. 22(4), pages 507-537, August.
    2. Péter Egri & Balázs Dávid & Tamás Kis & Miklós Krész, 2023. "Robust facility location in reverse logistics," Annals of Operations Research, Springer, vol. 324(1), pages 163-188, May.

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