Linear Facility Location in Three Dimensions - Models and Solution Methods

  • We consider the problem of locating a line or a line segment in three- dimensional space, such that the sum of distances from the linear facility to a given set of points is minimized. An example is planning the drilling of a mine shaft, with access to ore deposits through horizontal tunnels connecting the deposits and the shaft. Various models of the problem are developed and analyzed, and effcient solution methods are given.

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Metadaten
Author:Jack Brimberg, Henrik Juel, Anita Schöbel
URN:urn:nbn:de:hbz:386-kluedo-10703
Series (Serial Number):Report in Wirtschaftsmathematik (WIMA Report) (63)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of first Publication:2000
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/08/29
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