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Markov Renewal Function and Markov Renewal-Type Equations

  1. Serhan Ziya

Published Online: 14 JAN 2011

DOI: 10.1002/9780470400531.eorms0467

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Ziya, S. 2011. Markov Renewal Function and Markov Renewal-Type Equations. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. University of North Carolina, Department of Statistics and Operations Research, Chapel Hill, North Carolina

Publication History

  1. Published Online: 14 JAN 2011

Abstract

This article defines Markov-renewal functions, introduces Markov renewal-type equations, and gives a brief overview of the main results.

Keywords:

  • Markov-renewal sequence;
  • matrix convolution notation;
  • Markov renewal arguments;
  • Markov renewal equation;
  • key Markov-renewal theorem