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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…
math.PR2010
Diffusion Approximation for an Overloaded X Model Via a Stochastic Averaging Principle
Ohad Perry, Ward Whitt
In previous papers we developed a deterministic fluid approximation for an overloaded Markovian queueing system having two customer classes and two service pools, known in the call…
math.PR2010
A Fluid Limit for an Overloaded X Model Via a Stochastic Averaging Principle
Ohad Perry, Ward Whitt
We prove a many-server heavy-traffic fluid limit for an overloaded Markovian queueing system having two customer classes and two service pools, known in the call-center literature…