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Stability with uniform bounds for online dial-a-ride problems under reasonable load

URN zum Zitieren dieses Dokuments: urn:nbn:de:bvb:703-opus-8672


Krumke, Sven O. ; Rambau, Jörg:
Stability with uniform bounds for online dial-a-ride problems under reasonable load.
Bayreuth , 2011


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In continuously running logistic systems (like in-house pallet transportation systems), finite buffer capacities usually require controls achieving uniformly bounded waiting queues (strong stability). Standard stochastic traffic assumptions (arrival rates below service rates) can, in general, not guarantee these strong stability requirements, no matter which control. Therefore, the worst-case traffic notion of reasonable load was introduced, originally for the analysis of the Online-Dial-a-Ride Problem. A set of requests is reasonable if the requests that are presented in a sufficiently large time period can be served in a time period of at most the same length. The rationale behind this concept is that the occurrence of non-reasonable request sets renders the system overloaded, and capacity should be extended. For reasonable load, there are control policies that can guarantee uniformly bounded flow times, leading to strong stability in many cases. Control policies based on naive eoptimization, however, can in general achieve neither bounded flow times nor strong ability. In this chapter, we review the concept and examples for reasonable load. Moreover, we present new control policies achieving strong stability as well as new elementary examples of request sets where naive reoptimization fails.

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Publikationsform: Preprint, Postprint, Working paper, Diskussionspapier
Zusätzliche Informationen (öffentlich sichtbar): msc: 68W27; msc: 90C27; Source: Chapter 17 of "Distributed Decision Making and Control", Springer Verlag, to appear 2011.
Keywords: Dynamische Optimierung; online optimization; reasonable load; performance guarantees; online dial-a-ride
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut
Fakultäten > Fakultät für Mathematik, Physik und Informatik
Sprache: Englisch
Titel an der UBT entstanden: Ja
URN: urn:nbn:de:bvb:703-opus-8672
Eingestellt am: 25 Apr 2014 08:32
Letzte Änderung: 25 Apr 2014 08:32
URI: https://epub.uni-bayreuth.de/id/eprint/341