A minisum model with forbidden regions for locating a semi-desirable facility in the plane

Henrik Juel, Jack Brimberg

    Research output: Contribution to journalJournal articleResearch


    Most facilities in today's technological society may be classified as semi-desirable. That is, the facility provides a benefit or service to society, while adversely affecting the quality of life or social values in a number of possible ways. The paper proposes a location model for a new semi-desirable facility that accounts for the service costs by a standard minisum objective with arbitrary travel distance function. The social costs are imputed by specifying around each demand point or population center a convex forbidden region, also defined by an arbitrary distance metric, in which the new facility may not be located. A general solution algorithm is suggested, and the methodology is applied to circular forbidden regions and special travel distance functions.
    Original languageEnglish
    JournalLocation Science
    Issue number1-4
    Pages (from-to)109-120
    Publication statusPublished - 1998

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