STOCHASTICS SEMINAR SERIES -- Asymptotics of Closed Queueing Networks with Subexponential Service Times

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For a $K$-stage cyclic queueing model with $N$ customers and general service times we give an explicit expression for the $n^{rm th}$ departure time from each queue. Starting from this expression we analyze the asymptotic tail behavior of cycle times and waiting times given that at least one service time distribution is subexponential. Further, we show that the tail of the residual of a subexponential service time seen by an arriving customer is of the same order as the service time itself, where the asymptotic constant depends on the queue length on arrival.


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  • Created By:
    Barbara Christopher
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  • Modified By:
    Fletcher Moore
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