English

Some notes on a semi-Markov matrix occurring in the MMinf queue parameters study

Probability 2021-10-12 v1

Abstract

The main objective of this work is to present a process to compute the Markov renewal matrix for Markov renewal processes with countable infinite spaces, which semi-Markov matrixes are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for that matrix is a great obstacle to its application in practical cases modelling. It is considered the application to the MMinf queue particular case.

Keywords

Cite

@article{arxiv.2110.04816,
  title  = {Some notes on a semi-Markov matrix occurring in the MMinf queue parameters study},
  author = {Manuel Alberto M. Ferreira},
  journal= {arXiv preprint arXiv:2110.04816},
  year   = {2021}
}

Comments

5 pages and no figures

R2 v1 2026-06-24T06:46:23.356Z