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  • 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 %22branching%22 and by %22control%22 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.
  • 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 %22branching%22 and by %22control%22 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. (en)
Title
  • Stabilization of Branching Queueing Networks
  • Stabilization of Branching Queueing Networks (en)
skos:prefLabel
  • Stabilization of Branching Queueing Networks
  • Stabilization of Branching Queueing Networks (en)
skos:notation
  • RIV/00216224:14330/12:00057347!RIV13-GA0-14330___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GAP202/10/1469)
http://linked.open...vai/riv/dodaniDat
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  • 170844
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  • RIV/00216224:14330/12:00057347
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  • continuous time Markov decision processes; infinite state systems; performance analysis (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [751BFF292282]
http://linked.open...v/mistoKonaniAkce
  • Paris, France
http://linked.open...i/riv/mistoVydani
  • Paris, France
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 29th International Symposium on Theoretical Aspects of Computer Science
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  • Brázdil, Tomáš
  • Kiefer, Stefan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 1868-8969
number of pages
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  • IBFI Schloss Dagstuhl
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  • 9783939897354
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  • 14330
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