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On the use of a fundamental identity in the theory of semi-Markov queues

Published online by Cambridge University Press:  01 July 2016

E. Arjas
E. Arjas*
Affiliation:
The Academy of Finland, Helsinki
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Abstract

In the paper a single server semi-Markov queue is considered. The analysis is based on a fundamental matrix identity due to H. D. Miller. A natural method for the solution of semi-Markov queues is indicated; use is also made of a duality relation, which is discussed in the paper.

Keywords

SEMI-MARKOV QUEUEWAITING TIME PROCESSFUNDAMENTAL IDENTITYDUALITY RELATION
Type
Research Article
Information
Advances in Applied Probability , Volume 4 , Issue 2 , August 1972 , pp. 271 - 284
Copyright
Copyright © Applied Probability Trust 1972 

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