Publications (67)
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…
A polling system whose stability region depends on a whole distribution of service times
Natalia Chernova, Sergey Foss, Bara Kim
We present an example of a single-server polling system with two queues and an adaptive service policy where the stability region depends on the expected values of all the primitiv…
On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distributions
Stan Zachary, Sergey Foss
We study the distribution of the maximum of a random walk whose increments have a distribution with negative mean and belonging, for some , to a subclass of the class $\m…
Only Segmented Heavy Tails Can Produce a Light-Tailed Minimum
Sergey Foss, Michael Scheutzow, Anton Tarasenko
A random variable has a {\it light-tailed} distribution (for short: is light-tailed) if it possesses a finite exponential moment, $\E \exp (λξ) <\infty$ for some , and…
Heavy-tail asymptotics for the length of a busy period in a Generalised Jackson Network
Sergey Foss, Masakiyo Miyazawa, Linglong Yuan
We consider a Generalised Jackson Network with finitely many servers, a renewal input and service times at each queue. We assume the network to be stable and, in addition,…
Probabilistic and analytical properties of the last passage percolation constant in a weighted random directed graph
Sergey Foss, Takis Konstantopoulos, Artem Pyatkin
To each edge (i,j), i<j of the complete directed graph on the integers we assign unit weight with probability p or weight x with probability 1-p, independently from edge to edge, a…