Busy periods of Poisson arrival queues with loss

Sunggon Kim, Jongho Bae, Eui Yong Lee

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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.

Original languageEnglish
Pages (from-to)201-212
Number of pages12
JournalQueueing Systems
Issue number2-3
StatePublished - Oct 2001


  • Busy period
  • Finite dam
  • Impatient customer
  • M/G/1 queue


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