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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 a 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, s.~507-518. ISBN~978-3-939897-35-4.
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