Properties of 3-dimensional line location models

  • We consider the problem of locating a line with respect to some existing facilities in 3-dimensional space, such that the sum of weighted distances between the line and the facilities is minimized. Measuring distance using the l_p norm is discussed, along with the special cases of Euclidean and rectangular norms. Heuristic solution procedures for finding a local minimum are outlined.

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Metadaten
Author:Jack Brimberg, Henrik Juel, Anita Schöbel
URN:urn:nbn:de:hbz:386-kluedo-11926
Series (Serial Number):Report in Wirtschaftsmathematik (WIMA Report) (80)
Document Type:Preprint
Language of publication:English
Year of Completion:2002
Year of first Publication:2002
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2002/03/21
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011