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arXiv · 2210.11480

$M|G|\infty$ Queue Busy Cycle Renewal Function

Manuel Alberto M. Ferreira
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Abstract

We present formulas to compute the busy cycle renewal function for the $M|G|\infty$ queue and exemplify for some service time distributions. The busy cycle renewal function value in t is the number of busy periods that begin in the interval from 0 till $t$. This number is of crucial importance in practical applications of $M|G|\infty$ queue.

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BibTeXRIS

Manuel Alberto M. Ferreira. 2022-10-19. $M|G|\infty$ Queue Busy Cycle Renewal Function. https://arxiv.org/abs/2210.11480

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