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@inproceedings{979318,
author = {Brázdil, Tomáš and Kiefer, Stefan},
address = {Paris, France},
booktitle = {Proceedings of the 29th International Symposium on Theoretical Aspects of Computer Science},
keywords = {continuous time Markov decision processes; infinite state systems; performance analysis},
howpublished = {paměťový nosič},
language = {eng},
location = {Paris, France},
isbn = {978-3-939897-35-4},
pages = {507-518},
publisher = {IBFI Schloss Dagstuhl},
title = {Stabilization of Branching Queueing Networks},
url = {http://dx.doi.org/10.4230/LIPIcs.STACS.2012.507},
year = {2012}
}
TY - JOUR
ID - 979318
AU - Brázdil, Tomáš - Kiefer, Stefan
PY - 2012
TI - Stabilization of Branching Queueing Networks
PB - IBFI Schloss Dagstuhl
CY - Paris, France
SN - 9783939897354
KW - continuous time Markov decision processes
KW - infinite state systems
KW - performance analysis
UR - http://dx.doi.org/10.4230/LIPIcs.STACS.2012.507
N2 - Queueing networks are gaining attraction for the performance analysis of parallel computer systems. A Jackson network is a set of interconnected servers, where the completion of a job at server i may result in the creation of a new job for server j. We propose to extend Jackson networks by "branching" and by "control" features. Both extensions are new and substantially expand the modelling power of Jackson networks. On the other hand, the extensions raise computational questions, particularly concerning the stability of the networks, i.e, the ergodicity of the underlying Markov chain. We show for our extended model that it is decidable in polynomial time if there exists a controller that achieves stability. Moreover, if such a controller exists, one can efficiently compute a static randomized controller which stabilizes the network in a very strong sense; in particular, all moments of the queue sizes are finite.
ER -
BRÁZDIL, Tomáš and Stefan KIEFER. Stabilization of Branching Queueing Networks. In \textit{Proceedings of the 29th International Symposium on Theoretical Aspects of Computer Science}. Paris, France: IBFI Schloss Dagstuhl, 2012, p.~507-518. ISBN~978-3-939897-35-4.
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