4 papers
Existence and Approximations of Moments for Polling Systems under the Binomial-Exhaustive Policy
Yue Hu, Jing Dong, Ohad Perry
We establish sufficient conditions for the existence of moments of the steady-state queue in polling systems operating under the binomial-exhaustive policy (BEP). We assume that th…
Many-Server Heavy-Traffic Limits for Queueing Systems with Perfectly Correlated Service and Patience Times
Lun Yu, Ohad Perry
We characterize heavy-traffic process and steady-state limits for systems staffed according to the square-root safety rule, when the service requirements of the customers are perfe…
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…
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…