56 citations · 184 across the 23 of their papers we have counts for
Showing 2006 · math.PRShow all
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math.PR2006
A note on insensitivity in stochastic networks
Stan Zachary
We give a simple and direct treatment of insensitivity in stochastic networks which is quite general and which provides probabilistic insight into the phenomenon. In the case of mu…
math.PR2006
Stability of processor sharing networks with simultaneous resource requirements
Jennie Hansen, Cian Reynolds, Stan Zachary
We study the phenomenon of entrainment in processor sharing networks, whereby, while individual network resources have sufficient capacity to met demand, the requirement for simult…
math.PR2006
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 $\ma…