Josh E. Reed

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In this paper, we study the G/GI/N queue in the Halfin-Whitt regime. Our first result is to obtain a deterministic fluid limit for the properly centered and scaled number of customers in the system which may be used to provide a first order approximation to the queue length process. Our second result is to obtain a second order stochastic approximation to(More)
In this paper, we consider a single-server queue fed by K independent renewal arrival streams, each representing a different job class. Jobs are processed in a FIFO fashion, regardless of class. The total amount of work arriving to the system exceeds the server's capacity. That is, the nominal traffic intensity of the system is assumed to be greater than(More)
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