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.


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


[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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