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Research Report SRR96-010
Idle and busy periods in stable M/M/k queues
D. J. Daley & L. D. Servi
Abstract:
This paper finds the first and second moments of the number of arrivals
in a stable M/M/k queue during an idle period, i.e. in a
period
when at least one server is idle. These and similar results are used
along with renewal theory asymptotics to find the first and second
moments of the proportion of arrivals occurring while there are at least
\xi customers waiting for service. The asymptotics of the second
moment for large \xi are established.
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