M|G|∞ Queue Busy Cycle Renewal Function

2022/10/19 by Ferreira, Manuel Alberto M.
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2210.11480

Abstract

We present formulas to compute the busy cycle renewal function for the M|G|∞ 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|∞ queue.

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