Euclidean Minisum Hyperspheres

Mark-Christoph Körner ()
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Mark-Christoph Körner: Georg-August-Universität Göttingen

Chapter Chapter 2 in Minisum Hyperspheres, 2011, pp 23-36 from Springer

Abstract: Abstract This chapter is devoted to the Euclidean version of the minisum hypersphere problem where hyperspheres are defined with respect to the Euclidean norm. A simple formula for the Euclidean distance between a point and a hypersphere is derived and the existence of optimal solutions is discussed in detail. Furthermore, incidence properties of optimal solutions to the minisum hypersphere problem are stated and illustrated in various examples. Finally, solution approaches for the planar case are presented.

Keywords: Equal Weight; Facility Location Problem; Planar Case; Planar Version; Median Property (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-9807-1_2

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DOI: 10.1007/978-1-4419-9807-1_2

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