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UID:707@lincs.fr
DTSTART;TZID=Europe/Paris:20220608T150000
DTEND;TZID=Europe/Paris:20220608T160000
DTSTAMP:20220704T155455Z
URL:https://www.lincs.fr/events/stability-of-multiclass-spatial-birth-and-
 death-processes-with-wireless-type-interactions/
SUMMARY:Stability of multiclass spatial birth-and-death processes with
 wireless-type interactions
DESCRIPTION:\nWith the densification of wireless networks and the
 increasing standards of wireless communication protocols\, the study of the
 stochastic stability of wireless networks becomes increasingly important.
 Here\, we study a multiclass spatial birth-and-death process on a compact
 region of the Euclidean plane modeling wireless interactions as seen in a
 telecommunication network: users arrive at a constant rate and leave the
 network at a rate inversely proportional to a shot-noise created by other
 interfering users in the network. The novelty of this work lies in the
 addition of service differentiation\, inspired by bandwidth partitioning
 introduced in the latest generation of wireless networks. In this setup\,
 users choose a fixed number of transmission channels\, and only interfere
 with transmissions on the channels they use. We restrict our study to
 symmetric networks\, where users transmitting on the same  number of bands
 have the same stochastic properties in the network.\nWe define a general
 mathematical framework using stochastic geometry and queuing the ory tools
 to study this category of processes and we prove the existence of a
 critical arrival rate above which the system is always unstable. We then
 introduce a discretization of the dynamics to reduce the study of stability
 to which of a queuing network in a countable state space. We then find a
 closed form of the critical arrival rate using fluid limits arguments. In a
 second part\, we define a heuristics to estimate the steady-state densities
 of users in the network. The first one relies on a Poisson approximation of
 the steady-states processes and allows us to define a heuristic for the
 critical arrival rate of the network. The second heuristic uses a cavity
 approximation and a second-order approximation to improve the
 performance.\n\n
CATEGORIES:Seminars,Youtube
LOCATION:Salle 4A113 - TP @Palaiseau\, 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=Salle 4A113 - TP
 @Palaiseau:geo:0,0
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TZID:Europe/Paris
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DTSTART:20220327T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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