English

A Specific $M|G|\infty$ Queue System Busy Period and Busy Cycle Distributions and Parameters

Probability 2022-11-09 v1

Abstract

Solving a Riccati equation, induced by the study of the transient behaviour of the MGInf queue system, a collection of service times distributions is determined. For the MGInf queue, which service time distribution is a member of that collection, the busy period and busy cycle probabilistic studies are performed. In extra, the properties of that distributions collection are deduced and presented.

Keywords

Cite

@article{arxiv.2211.04447,
  title  = {A Specific $M|G|\infty$ Queue System Busy Period and Busy Cycle Distributions and Parameters},
  author = {Manuel Alberto M. Ferreira},
  journal= {arXiv preprint arXiv:2211.04447},
  year   = {2022}
}

Comments

6 pages and no figures

R2 v1 2026-06-28T05:26:51.326Z