Markov Renewal Theory: A Survey

The objective is to survey the major results and applications in an informal setting. The exposition is restricted to finite state spaces; some real problems are modelled and the lines of attack are indicated; and an extensive bibliography is provided to get a further glimpse of the variety of appli...

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Bibliographic Details
Published in:Management science 1975-03, Vol.21 (7), p.727-752
Main Author: Çinlar, Erhan
Format: Article
Language:English
Subjects:
Central limit theorem
Disease models
Exceptional Paper
Markov chains
Markov models
Markov processes
Mathematical functions
Mathematical theorems
Probability theory
Random variables
Online Access:Get full text
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Summary:The objective is to survey the major results and applications in an informal setting. The exposition is restricted to finite state spaces; some real problems are modelled and the lines of attack are indicated; and an extensive bibliography is provided to get a further glimpse of the variety of applications. Throughout, the parallels with renewal theory are brought out, and the unity of thought afforded by the formalism of Markov renewal equations is stressed.
ISSN:0025-1909
1526-5501