Download PDFOpen PDF in browser

M|M|∞ Busy Period and Busy Cycle Distribution Functions Bounds

EasyChair Preprint no. 7932

7 pagesDate: May 8, 2022

Abstract

The busy period length distribution function knowledge is important for any queue system, and in particular for the M|G|∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M|M|∞  system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for the M|M|∞  system busy cycle length distribution function are presented.

Keyphrases: bounds, busy period, distribution function, M|M|∞

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@Booklet{EasyChair:7932,
  author = {Manuel Alberto M. Ferreira and Marina Andrade},
  title = {M|M|∞ Busy Period and Busy Cycle Distribution Functions Bounds},
  howpublished = {EasyChair Preprint no. 7932},

  year = {EasyChair, 2022}}
Download PDFOpen PDF in browser