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UID:765@lincs.fr
DTSTART;TZID=Europe/Paris:20230426T150000
DTEND;TZID=Europe/Paris:20230426T160000
DTSTAMP:20230427T082159Z
URL:https://www.lincs.fr/events/a-necessary-and-sufficient-condition-for-s
 tability-of-queuing-networks-with-state-dependent-departure-rates/
SUMMARY:A necessary and sufficient condition for stability of queuing
 networks with state-dependent departure rates
DESCRIPTION:Reaching stability conditions for Markovian queueing networks
 is a problem for which many methods have been developed\, depending on the
 queueing policies\, laws for arrivals and departure of users in the
 system\, but obtaining instability or transience is a problem known to be
 harder.\nIn this talk\, we will focus on a type of queuing networks where
 the departure rate in a given queue is a decreasing function of the other
 queue lengths\, and increasing in its queue length. This type of queuing
 networks can be encountered in wireless communication systems\, where the
 departure rate depends on the interference in the system.\nWe first obtain
 a stability condition for the system using fluid limits\, and prove
 instability using stochastic domination arguments. This stability condition
 is interesting as it allows us to study systems for which the fluid models
 are not defined near 0.\n\nThe talk is based on the results of these papers
 :\n- S. Shneer and A. Stolyar\, Stability conditions for a decentralised
 medium access algorithm: single- and multi-hop networks\, Queuing Systems\,
 vol. 94\, pp. 109–128\, 2020\,
 https://link.springer.com/article/10.1007/s11134-019-09635-w\n- P. Popineau
 and S. Shneer\, An instability condition for queuing systems with
 state-dependent departure rates\, 2023\, https://arxiv.org/abs/2304.08853
CATEGORIES:Seminars,Youtube
LOCATION:Room 4B01\, 19 place Marguerite Perey\, Palaiseau\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=19 place Marguerite Perey\,
 Palaiseau\, France;X-APPLE-RADIUS=100;X-TITLE=Room 4B01:geo:0,0
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TZID:Europe/Paris
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