28 citations · 84 across the 33 of their papers we have counts for
4 papers · 1 filter
Customer sojourn time in GI/G/1 feedback queue in the presence of heavy tails
Sergey Foss, Masakiyo Miyazawa
We consider a single-server GI/GI/1 queueing system with feedback. We assume the service times distribution to be (intermediate) regularly varying. We find the tail asymptotics for…
Interference Queueing Networks on Grids
Abishek Sankararaman, François Baccelli, Sergey Foss
Consider a countably infinite collection of interacting queues, with a queue located at each point of the -dimensional integer grid, having independent Poisson arrivals, but dep…
Regular Variation in a Fixed-Point Problem for Single- and Multiclass Branching Processes and Queues
Søren Asmussen, Sergey Foss
Tail asymptotics of the solution to a fixpoint problem of type is derived under heavy-tailed conditions allowing both dependence between and …
Spatial random multiple access with multiple departure
Sergey Foss, Andrey Turlikov, Maxim Grankin
We introduce a new model of spatial random multiple access systems with a non-standard departure policy: all arriving messages are distributed uniformly on a finite sphere in the s…