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research article

Semi-markov processes with phase-type waiting times

Hongler, M. O.  
•
Salama, Y.
1996
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

We discuss the dynamics of continuous time semi-markov chains with phase-type waiting times. It is shown that the resulting generalized master equation which governs the marginal transition probability density can be written as a high order differential-difference equation; the order being directly related to the number of phases used to characterize the waiting time.

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Type
research article
Scopus ID

2-s2.0-33748841343

Author(s)
Hongler, M. O.  
Salama, Y.
Date Issued

1996

Published in
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume

76

Issue

SUPPL. 3

Start page

461

End page

462

Note

IMT/DMT, EPFL, 1015 Lausanne, Switzerland DMA, EPFL, 1015 Lausanne, Switzerland

Export Date: 6 December 2012

Source: Scopus

Language of Original Document: English

Correspondence Address: Hongler, M.O.; IMT/DMT, EPFL, 1015 Lausanne, Switzerland

References: Ross, S., (1972) Introduction to Probability Models, , Academic Press; Montroll, E.W., West, B.J., On an enriched collection of stochastic processes (1979) Studies in Statistical Mechanics, 7. , ed. E. W. Montroll & J. L. Lebowitz, North Holland; Cinlar, E., Markov renewal theory: A survey (1975) Management Science, 21, pp. 727-752; Neuts, M.F., (1981) Matrix Geometric Solutions in Stochastic Models, , Johns Hopkins University Press

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
LPM  
Available on Infoscience
January 7, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/87666
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