Polyhedral Analysis of Uncapacitated Single Allocation p-Hub Center Problems
- In contrast to p-hub problems with a summation objective (p-hub median), minmax hub problems (p-hub center) have not attained much attention in the literature. In this paper, we give a polyhedral analysis of the uncapacitated single allocation p-hub center problem (USApHCP). The analysis will be based on a radius formulation which currently yields the most efficient solution procedures. We show which of the valid inequalities in this formulation are facet-defining and present non-elementary classes of facets, for which we propose separation problems. A major part in our argumentation will be the close connection between polytopes of the USApHCP and the uncapacitated p-facility location (pUFL). Hence, the new classes of facets can also be used to improve pUFL formulations.
Author: | Silke Jütte, Elena Gavriliouk, Horst Hamacher |
---|---|
URN: | urn:nbn:de:hbz:386-kluedo-14927 |
Series (Serial Number): | Report in Wirtschaftsmathematik (WIMA Report) (109) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2007 |
Year of first Publication: | 2007 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2007/04/26 |
Tag: | hub location; polyhedral analysis; uncapacitated facility location |
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 |