28 citations · 84 across the 33 of their papers we have counts for
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math.PR2013
Two-node queueing network with a heavy-tailed random input: the strong stability case
Sergey Foss, Masakiyo Miyazawa
We consider a two-node fluid network with batch arrivals of random size having a heavy-tailed distribution. We are interested in the tail asymptotics for the stationary distributio…
math.PR2013
Stability of a Random Multiple Access Channel with "Success-Failure" Feedback
Sergey Foss, Bruce Hajek, Andrey Turlikov
We consider a model of a decentralized multiple access system with a non-standard binary feedback where the empty and collision situations cannot be distinguished. We show that, li…
math.PR2013
Random Fluid Limit of an Overloaded Polling Model
Maria Frolkova, Sergey Foss, Bert Zwart
In the present paper, we study the evolution of an overloaded cyclic polling model that starts empty. Exploiting a connection with multitype branching processes, we derive fluid as…