Markov Regenerative Processes


Serin Y. Y.

in: Wiley Encyclopedia of OR/MS , Cochran J. Cox Jr. L. Keskinocak P. Kharoufeh J. Smith J., Editor, John Wiley & Sons, West Sussex, UK , New-York, pp.1-5, 2011

  • Publication Type: Book Chapter / Chapter TextBook
  • Publication Date: 2011
  • Publisher: John Wiley & Sons, West Sussex, UK 
  • City: New-York
  • Page Numbers: pp.1-5
  • Editors: Cochran J. Cox Jr. L. Keskinocak P. Kharoufeh J. Smith J., Editor

Abstract

Abstract

Markov regenerative processes are continuous‐time stochastic processes with more general conditions of regeneration than regenerative processes. The limiting behavior of some queues with general distributions can be obtained using Markov regenerative argument. In this article, after some basic definitions, some results related to the transient and limiting properties of the Markov regenerative processes are given. Some results are demonstrated with examples.