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Discrete Center Problems

In: Foundations of Location Analysis

Author

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  • Barbaros Ç. Tansel

    (Bilkent University)

Abstract

Our focus in this chapter is on discrete center location problems. This class of problems involves locating one or more facilities on a network to service a set of demand points at known locations in such a way that every demand receives its service from a closest facility, and the maximum distance between a demand and a closest facility is as small as possible. This leads to a minimax type of objective function, which is intrinsically different from the minisum objective that is more widely encountered in location models, for which the primary concern is to minimize the total transportation cost. The term discrete in the title refers to a finite set of demand points, while continuous versions of center location problems are also possible if the set of demand points to be served constitutes a continuum of points on the network under consideration.

Suggested Citation

  • Barbaros Ç. Tansel, 2011. "Discrete Center Problems," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 79-106, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-7572-0_5
    DOI: 10.1007/978-1-4419-7572-0_5
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