On locating a semi-desirable facility on the continuous plane

Henrik Juel, Jack Brimberg

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The paper considers a bicriteria model for locating a semi-desirable facility on the plane. One criterion is that of minimizing the sum of weighted distances between customers and facility, where distances are given by an arbitrary norm. The other criterion is that of maximizing the weighted Euclidean distance from the facility to the closest customer. The objective is to generate the set of efficient points, from which the decision maker must choose the preferred one. Two reformulations are considered: in one, the sum of weighted distances is minimized, subject to constraints requiring that each customer must have a weighted Euclidean distance to the facility of at least a given parameter; varying the parameter yields the efficient set. In the other, both criteria are viewed as minimization problems and a convex combination of them is minimized. Properties of the reformulations are given, and the reformulations are compared. Finally, a solution procedure is outlined.
    Original languageEnglish
    JournalInternational Transactions in Operational Research
    Volume5
    Issue number1
    Pages (from-to)59-66
    ISSN0969-6016
    Publication statusPublished - 1998

    Keywords

    • Location
    • Modelling
    • Multi-criteria analysis

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