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math.PR2009
Loss networks
Stan Zachary, Ilze Ziedins
We review the theory of loss networks, including recent results on their dynamical behaviour. We give also some new results.
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…