Pioneering Developments in Location Analysis

H. A. Eiselt () and Vladimir Marianov ()
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H. A. Eiselt: University of New Brunswick
Vladimir Marianov: Pontificia Universidad Católica de Chile

Chapter Chapter 1 in Foundations of Location Analysis, 2011, pp 3-22 from Springer

Abstract: 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.”

Keywords: Location Problem; Facility Location; Voronoi Diagram; Facility Location Problem; Layout Problem (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4419-7572-0_1

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