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The \(\text{M}^X/\text{D}/c\) batch arrival queue. (English) Zbl 1085.60069

A new formula for the stationary waiting time distribution of the \(\text{M}^X/\text{D}/c\) queueing system is derived by direct probabilistic arguments, in particular without using Laplace transforms or generating functions.

MSC:

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
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References:

[1] Kuczura, The Bell System Technical Journal 52 pp none– (1973) · Zbl 0251.60065
[2] Wolff, Operations Research 30 pp 223– (1982)
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