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Pioneering Developments in Location Analysis

In: Foundations of Location Analysis

Author

Listed:
  • H. A. Eiselt

    (University of New Brunswick)

  • Vladimir Marianov

    (Pontificia Universidad Católica de Chile)

Abstract

A mathematician would probably define a location problem as solving the following question: “given some metric space and a set of known points, determine a number of additional points so as to optimize a function of the distance between new and existing points.” A geographer’s explanation might be that “given some region in which some market places or communities are known, the task is to determine the sites of a number of centers that serve the market places or communities.” Students of business administration will want to determine “the location of plants and market catchment areas in the presence of potential customers,” while computer scientists (or, more specifically, analysts in computational geometry) may want to determine “the minimum number of equal geometrical shapes that are required to cover a certain area, and the positions of their centroids.”

Suggested Citation

  • H. A. Eiselt & Vladimir Marianov, 2011. "Pioneering Developments in Location Analysis," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 3-22, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-7572-0_1
    DOI: 10.1007/978-1-4419-7572-0_1
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    Cited by:

    1. Moez Kilani & André de Palma, 2023. "Spatial multiproduct competition," THEMA Working Papers 2023-18, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Amir Beck & Shoham Sabach, 2015. "Weiszfeld’s Method: Old and New Results," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 1-40, January.

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