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A Capacitated, Balanced, 2-Median Problem on a Tree Network with a Continuum of Link Demands

Author

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  • Hanif D. Sherali

    (Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061)

  • Frederick L. Nordai

    (Shippensburg University, Shippensburg, Pennsylvania 17257)

Abstract

This note considers the problem of locating an absolute 2-median on an undirected tree network having discrete nodal demands as well as a continuum of link demands. The service facilities are assumed to have known finite capacities which sum to the total demand on the network. For this capacitated, balanced case, we derive certain necessary optimality conditions which admit useful localization results. These results permit us to identify and characterize a reduced, finite set of candidate solutions which may be compared to obtain an optimal 2-median for the problem.

Suggested Citation

  • Hanif D. Sherali & Frederick L. Nordai, 1988. "A Capacitated, Balanced, 2-Median Problem on a Tree Network with a Continuum of Link Demands," Transportation Science, INFORMS, vol. 22(1), pages 70-73, February.
    • Handle: RePEc:inm:ortrsc:v:22:y:1988:i:1:p:70-73
    DOI: 10.1287/trsc.22.1.70
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    Cited by:

    1. Hanif D. Sherali & Taehyung Park, 2000. "Discrete equal‐capacity p‐median problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(2), pages 166-183, March.
    2. Alessandro Agnetis & Pitu B. Mirchandani & Andrea Pacifici, 2002. "Partitioning of biweighted trees," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 143-158, March.
    3. James F. Campbell, 1992. "Location‐allocation for distribution to a uniform demand with transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 635-649, August.

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