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

EasyChair Preprint no. 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: collection, moment, M|G|∞ queue, 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 no. 8213},

  year = {EasyChair, 2022}}