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Reoptimization Gaps versus Model Errors in Online-Dispatching of Service Units for ADAC

Title data

Hiller, Benjamin ; Krumke, Sven O. ; Rambau, Jörg:
Reoptimization Gaps versus Model Errors in Online-Dispatching of Service Units for ADAC.
In: Electronic Notes in Discrete Mathematics. Vol. 18 (1 December 2004) . - pp. 157-163.
ISSN 1571-0653
DOI: https://doi.org/10.1016/j.endm.2004.06.025

Abstract in another language

Under high load, the automated dispatching of service vehicles for the German Automobile Association (ADAC) must reoptimize a dispatch for 100–150 vehicles and 400 requests in about 10 s to near optimality. In the presence of service contractors, this can be achieved by the column generation algorithm ZIBDIP. In metropolitan areas, however, service contractors cannot be dispatched automatically because they may decline. The problem: a model without contractors yields larger optimality gaps within 10 s. One way out are simplified reoptimization models. These compute a short-term dispatch containing only some of the requests: unknown future requests will influence future service anyway. The simpler the models the better the gaps, but also the larger the model error. What is more significant: reoptimization gap or reoptimization model error? We answer this question in simulations on real-world ADAC data: only the new models ShadowPrice and ZIBDIPdummy
can keep up with ZIBDIP.

Further data

Item Type: Article in a journal
Refereed: No
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy > Chair Mathematics in Economy - Univ.-Prof. Dr. Jörg Rambau
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 04 Jun 2014 06:13
Last Modified: 01 Dec 2014 12:40
URI: https://eref.uni-bayreuth.de/id/eprint/750