Document Zbl 0765.60093

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Transient behavior for some Jackson networks. (English) Zbl 0765.60093

Perform. Eval. 17, No. 2, 115-122 (1993).

Summary: The transient law is given in an explicit and tractable form for some special Jackson networks including the \(M/PH/\infty\) queueing system: namely, in each station, the number of servers is assumed to be infinite. For the considered networks, the transient law is a combination of Poisson distributions, the expectations of which are computed. The case where some parameters — in a Jackson network — change suddenly is emphasized: in this case, the transient law has an \(m\)-dimensional Poisson distribution.

Cited in 1 Document

MSC:

60K20	Applications of Markov renewal processes (reliability, queueing networks, etc.)
90B22	Queues and service in operations research

Keywords:

transient behavior; Jackson networks; Poisson distribution

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