The Multi Terminal q-FlowLoc Problem: A Heuristic
- In this paper the multi terminal q-FlowLoc problem (q-MT-FlowLoc) is introduced. FlowLoc problems combine two well-known modeling tools: (dynamic) network flows and locational analysis. Since the q-MT-FlowLoc problem is NP-hard we give a mixed integer programming formulation and propose a heuristic which obtains a feasible solution by calculating a maximum flow in a special graph H. If this flow is also a minimum cost flow, various versions of the heuristic can be obtained by the use of different cost functions. The quality of this solutions is compared.
Author: | Stephanie Heller, Horst W. Hamacher |
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URN: | urn:nbn:de:hbz:386-kluedo-16862 |
Series (Serial Number): | Report in Wirtschaftsmathematik (WIMA Report) (136) |
Document Type: | Report |
Language of publication: | English |
Year of Completion: | 2011 |
Year of first Publication: | 2011 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2011/03/02 |
Tag: | (dynamic) network flows; FlowLoc; heuristic; location theory |
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 |