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Busy periods of Poisson arrival queues with loss
- Issue Date
- Oct-2001
- Publisher
- KLUWER ACADEMIC PUBL
- Keywords
- M/G/1 queue; impatient customer; finite dam; busy period
- Citation
- QUEUEING SYSTEMS, v.39, no.2-3, pp 201 - 212
- Pages
- 12
- Journal Title
- QUEUEING SYSTEMS
- Volume
- 39
- Number
- 2-3
- Start Page
- 201
- End Page
- 212
- ISSN
- 0257-0130
1572-9443
- 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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