English

New Look at Finite Single Server Queue with Poisson Input and Semi-Markov Service Times

Probability 2018-06-15 v1

Abstract

The mathematics of the finite single server queue with Poisson input and semi-Markov service times(M/SM/1/bM/SM/1/b) is similar to that used for BMAP/G/1/bBMAP/G/1/b systems. This observation results in new analytical formulas for a queue size in the M/SM/1/bM/SM/1/b system. Both stationary and the transient solutions are considered

Keywords

Cite

@article{arxiv.1806.05462,
  title  = {New Look at Finite Single Server Queue with Poisson Input and Semi-Markov Service Times},
  author = {Krzysztof Rusek and Zdzisław Papir},
  journal= {arXiv preprint arXiv:1806.05462},
  year   = {2018}
}