Busy periods of Poisson arrival queues with loss

Busy periods of Poisson arrival queues with loss

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Article ID: iaor20041285
Country: Netherlands
Volume: 39
Issue: 2/3
Start Page Number: 201
End Page Number: 212
Publication Date: Oct 2001
Journal: Queueing Systems
Authors: , ,
Keywords: markov processes
Abstract:

We consider two queues with loss, one is the finite dam with Poisson arrivals and the other is the M/G/1 queue with impatient customers. We use the method of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy (or wet) period in both queues. As a consequence, we provide the explicit forms of expected busy periods.

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