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Title data
Krumke, Sven O. ; Rambau, Jörg:
Stability with uniform bounds for online dial-a-ride problems under reasonable load.
Bayreuth
,
2011
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Abstract
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.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erscheint in:
Johansson, Rolf ; Rantzer, Anders (Hrsg.): Distributed Decision Making and Control. - London : Springer , 2012 . - S. 387-412 . - (Lecture Notes in Control and Information Sciences ; 417 ) ISBN 978-1-447-12264-7 msc: 68W27; msc: 90C27 |
| Keywords: | Dynamische Optimierung; online optimization; reasonable load; performance guarantees; online dial-a-ride |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-opus-8672 |
| Date Deposited: | 25 Apr 2014 08:32 |
| Last Modified: | 08 Jun 2021 08:02 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/341 |
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