Joint distribution of the busy and idle periods of a discrete modified $GI/GI/c/\infty$ queue
Dvurečenskij, Anatolij
Applications of Mathematics, Tome 33 (1988), p. 68-76 / Harvested from Czech Digital Mathematics Library
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For a discrete modified $GI/GI/c/\infty$ queue, $1\leq c < \infty$, where the service times of all customers served during any busy period are independent random variables with not necessarily identical distribution functions, the joint distribution of the busy period, the subsequent idle period and the number of customers served during the busy period is derived. The formulae presented are in a convenient form for practical use. The paper is a continuation of [5], where the $M/GI/c/\infty$ discrete modified queue has been studied.

Publié le : 1988-01-01
Classification:  60K25,  90B22 
@article{104287,
     author = {Anatolij Dvure\v censkij},
     title = {Joint distribution of the busy and idle periods of a discrete modified $GI/GI/c/\infty$ queue},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {68-76},
     zbl = {0658.60126},
     mrnumber = {0934375},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104287}
}

Dvurečenskij, Anatolij. Joint distribution of the busy and idle periods of a discrete modified $GI/GI/c/\infty$ queue. Applications of Mathematics, Tome 33 (1988) pp. 68-76. http://gdmltest.u-ga.fr/item/104287/

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