Location of Dimensional Facilities in a Continuous Space

Anita Schöbel ()
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Anita Schöbel: University of Göttingen

Chapter Chapter 7 in Location Science, 2015, pp 135-175 from Springer

Abstract: Abstract In many cases, the facilities to be located cannot be represented by isolated points, but may be modeled as dimensional structures. Examples for one-dimensional facilities are straight lines, line segments, or circles while boxes, strips, or balls are two-dimensional facilities. The goal of this chapter is to review the location of lines and circles in the plane and the location of hyperplanes and hyperspheres in higher dimensional spaces. We also discuss the location of some other dimensional facilities. We formulate the resulting location problems, point out some of their important properties and review the basic solution techniques and algorithmic approaches. Our focus lies on presenting a unified understanding of the common characteristics these problems have, and on reviewing the new findings obtained in this field within the last 10 years.

Keywords: Circle location; Hyperplane location; Line location (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13111-5_7

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DOI: 10.1007/978-3-319-13111-5_7

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