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Medi-Centers of a Tree

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  • Gabriel Y. Handler

    (Tel Aviv University, Tel Aviv, Israel)

Abstract

While relatively efficient algorithms are now available for minisum (“median”) and minimax (“center”) network location problems, little attention has been focused on the often realistic cases where both criteria are combined in a single formulation. This paper presents a contribution to the study of such “medi-center” problems. Efficient algorithms are developed for locating a single facility on a tree. The simplicity and efficiency of the algorithms are due to a fundamental convexity property of tree networks.

Suggested Citation

  • Gabriel Y. Handler, 1985. "Medi-Centers of a Tree," Transportation Science, INFORMS, vol. 19(3), pages 246-260, August.
    • Handle: RePEc:inm:ortrsc:v:19:y:1985:i:3:p:246-260
    DOI: 10.1287/trsc.19.3.246
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    Cited by:

    1. Li, Hongmei & Luo, Taibo & Xu, Yinfeng & Xu, Jiuping, 2018. "Minimax regret vertex centdian location problem in general dynamic networks," Omega, Elsevier, vol. 75(C), pages 87-96.
    2. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    3. Ohsawa, Yoshiaki, 1999. "A geometrical solution for quadratic bicriteria location models," European Journal of Operational Research, Elsevier, vol. 114(2), pages 380-388, April.
    4. Liying Kang & Jianjie Zhou & Erfang Shan, 2018. "Algorithms for connected p-centdian problem on block graphs," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 252-263, July.
    5. Colebrook, Marcos & Sicilia, Joaquin, 2007. "A polynomial algorithm for the multicriteria cent-dian location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1008-1024, June.
    6. R. L. Francis & T. J. Lowe & Arie Tamir, 2000. "Aggregation Error Bounds for a Class of Location Models," Operations Research, INFORMS, vol. 48(2), pages 294-307, April.
    7. Becker, Ronald I. & Lari, Isabella & Scozzari, Andrea, 2007. "Algorithms for central-median paths with bounded length on trees," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1208-1220, June.
    8. Richard Francis & Timothy Lowe, 2014. "Comparative error bound theory for three location models: continuous demand versus discrete demand," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 144-169, April.

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