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math.PR2014
A Switching Fluid Limit of a Stochastic Network Under a State-Space-Collapse Inducing Control with Chattering
Ohad Perry, Ward Whitt
Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimen…
math.PR2010
An ODE for an Overloaded X Model Involving a Stochastic Averaging Principle
Ohad Perry, Ward Whitt
We study an ordinary differential equation (ODE) arising as the many-server heavy-traffic fluid limit of a sequence of overloaded Markovian queueing models with two customer classe…