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Minisum collection depots location problem with multiple facilities on a network

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  • O Berman

    (University of Toronto)

  • R Huang

    (University of Toronto)

Abstract

We investigate the problem of locating a set of service facilities that need to service customers on a network. To provide service, a server has to visit both the demand node and one of several collection depots. We employ the criterion of minimizing the weighted sum of round trip distances. We prove that there exists a dominating location set for the problem on a general network. The properties of the solution on a tree and on a cycle are discussed. The problem of locating service facilities and collection depots simultaneously is also studied. To solve the problem on a general network, we suggest a Lagrangian relaxation imbedded branch-and-bound algorithm. Computational results are reported.

Suggested Citation

  • O Berman & R Huang, 2004. "Minisum collection depots location problem with multiple facilities on a network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(7), pages 769-779, July.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:7:d:10.1057_palgrave.jors.2601742
    DOI: 10.1057/palgrave.jors.2601742
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    References listed on IDEAS

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    1. Drezner, Zvi & Wesolowsky, George O., 2001. "On the collection depots location problem," European Journal of Operational Research, Elsevier, vol. 130(3), pages 510-518, May.
    2. Hasan Pirkul & David A. Schilling, 1991. "The Maximal Covering Location Problem with Capacities on Total Workload," Management Science, INFORMS, vol. 37(2), pages 233-248, February.
    3. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    4. Gerard Cornuejols & Marshall L. Fisher & George L. Nemhauser, 1977. "Exceptional Paper--Location of Bank Accounts to Optimize Float: An Analytic Study of Exact and Approximate Algorithms," Management Science, INFORMS, vol. 23(8), pages 789-810, April.
    5. CORNUEJOLS, Gérard & FISHER, Marshall L. & NEMHAUSER, George L., 1977. "Location of bank accounts to optimize float: An analytic study of exact and approximate algorithms," LIDAM Reprints CORE 292, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. G N Berlin & C S ReVelle & D J Elzinga, 1976. "Determining Ambulance—Hospital Locations for On-Scene and Hospital Services," Environment and Planning A, , vol. 8(5), pages 553-561, August.
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    Cited by:

    1. Ye, Lin & Ye, Chunming & Chuang, Yi-Fei, 2011. "Location set covering for waste resource recycling centers in Taiwan," Resources, Conservation & Recycling, Elsevier, vol. 55(11), pages 979-985.
    2. Dongyan Chen & Chan He & Senlin Wu, 2016. "Single facility collection depots location problem with random weights," Operational Research, Springer, vol. 16(2), pages 287-299, July.
    3. Berman, Oded & Drezner, Zvi & Wesolowsky, George O., 2007. "The transfer point location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 978-989, June.
    4. Maria Barbati & Giuseppe Bruno & Alfredo Marín, 2016. "Balancing the arrival times of users in a two-stage location problem," Annals of Operations Research, Springer, vol. 246(1), pages 273-288, November.
    5. O Berman & Z Drezner & G O Wesolowsky, 2008. "The multiple location of transfer points," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 805-811, June.
    6. Oded Berman & Rongbing Huang, 2007. "The Minisum Multipurpose Trip Location Problem on Networks," Transportation Science, INFORMS, vol. 41(4), pages 500-515, November.

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