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Analysis of an N/G/1 finite queue with the supplementary variable method. (English) Zbl 0966.60096

For an N/G/1 finite queueing system, the joint stationary distribution of the queue length and the elapsed waiting time is derived. This yields a new formula for the queue length distribution which the authors claim to have computational advantages over the formula by C. Blondia [Commun. Stat., Stochastic Models 5, No. 2, 273-294 (1989; Zbl 0673.60102)].

MSC:

60K25 Queueing theory (aspects of probability theory)
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems

Citations:

Zbl 0673.60102
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