Validity of heavy-traffic steady-state approximations in many-server queues with abandonment

Abstract

We consider GI/Ph/n+M parallel-server systems with a renewal arrival process, a phase-type service time distribution, n homogenous servers, and an exponential patience time distribution with positive rate. We show that in the Halfin-Whitt regime, the sequence of stationary distributions corresponding to the normalized state processes is tight. As a… (More)
DOI: 10.1007/s11134-014-9394-x

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