English

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

Probability 2022-10-24 v1

Abstract

We present formulas to compute the busy cycle renewal function for the MGM|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 tt. This number is of crucial importance in practical applications of MGM|G|\infty queue.

Cite

@article{arxiv.2210.11480,
  title  = {$M|G|\infty$ Queue Busy Cycle Renewal Function},
  author = {Manuel Alberto M. Ferreira},
  journal= {arXiv preprint arXiv:2210.11480},
  year   = {2022}
}

Comments

5 pages and no figures

R2 v1 2026-06-28T04:07:06.203Z