A many-server fluid limit for the Gt/G//st+G/ queueing model experiencing periods of overloading

Abstract

A many-server heavy-traffic functional weak law of large numbers is established for the Gt/GI/st +GI queueing model, providing support for a previously proposed deterministic fluid approximation, and extending a previously established limit for the special case of exponential service times. The queueing model has time-varying arrival rate and service… (More)
DOI: 10.1016/j.orl.2012.05.010

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