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On the distribution of a busy period for the many server Poisson queue - MaRDI portal

On the distribution of a busy period for the many server Poisson queue (Q1826232)

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scientific article; zbMATH DE number 4123026
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English
On the distribution of a busy period for the many server Poisson queue
scientific article; zbMATH DE number 4123026

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    On the distribution of a busy period for the many server Poisson queue (English)
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    1989
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    The authors derive formulae for the probability density function of a busy period, during which k channels are busy. They use procedures described by the second author [Adv. Appl. Probab. 19, 997-998 (1987; Zbl 0632.60098)] and by the second author and \textit{M. Sharafali} [``Transient solution to a many-server Poisson queue: A simple approach.'' (to appear in J. Appl. Probab.)].
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    queueing theory
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    service models
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    transient solution
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