A Collection of Service Time Distributions Parameters Study and Impact in M|G|∞ System Busy Period and Busy Cycle Length Distributions

EasyChair Preprint 8213

Abstract

We present the problems that arise when calculating the moments of service time probability distributions for which the M|G|∞ queue system busy period and busy cycle-an idle period followed by a busy periodlength probability distributions become very easy to study and show how to overcome them. We also, calculate the renewal function, the “peakedness,” and the “modified peakedness” for the M|G|∞ busy period and busy cycle length in the case of those service time distributions.

Keyphrases: M|G|∞ queue, collection, moment, probability distribution, service time

@booklet{EasyChair:8213,
  author    = {Manuel Alberto M. Ferreira},
  title     = {A Collection of Service Time Distributions Parameters Study and Impact in M|G|∞ System Busy Period and Busy Cycle Length Distributions},
  howpublished = {EasyChair Preprint 8213},
  year      = {EasyChair, 2022}}