English

The Age or Excess of the MGinf Queue Busy Cycle Mean Value

Probability 2021-10-14 v1

Abstract

In this work, approximate and exact results concerning a performance measure of the MGinf system, the age or the excess of the busy cycle, are presented. It will be seen that it is also a measure of the busy period performance. Service distributions for which it is given for a simple expression and others for which this does not happen are considered. For this last case, bounds are deduced. A special emphasis is given to the exponential distribution and to those related with it, useful in reliability theory.

Keywords

Cite

@article{arxiv.2110.06374,
  title  = {The Age or Excess of the MGinf Queue Busy Cycle Mean Value},
  author = {Manuel Alberto M. Ferreira and Marina Andrade and José António Filipe},
  journal= {arXiv preprint arXiv:2110.06374},
  year   = {2021}
}

Comments

5 pages, 2 tables and no figures