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The steady-state behaviour of multistate monotone systems

Published online by Cambridge University Press:  14 July 2016

Bent Natvig  and
Arnfried Streller
Bent Natvig*
Affiliation:
University of Oslo
Arnfried Streller*
Affiliation:
Humboldt-Universität, Berlin
*
∗Postal address: Institute of Mathematics, University of Oslo, P.O. Box 1053, Blindern, Oslo 3, Norway.
∗∗Postal address: Sektion Mathematik, Humboldt-Universität, 1086 Berlin PSF 1297, German Democratic Republic.
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Abstract

In this paper the steady-state behaviour of multistate monotone systems of multistate components is considered by applying the theory for stationary and synchronous processes with an embedded point process. After reviewing some general results on stationary availability, stationary interval availability and stationary mean interval performance probabilities, we concentrate on systems with independently working and separately maintained components. For this case an explicit formula is given for the mean time which the system in steady state sojourns in states not below a fixed critical level.

Keywords

STATIONARY AND SYNCHRONOUS PROCESSES WITH AN EMBEDDED POINT PROCESSSTATIONARY AVAILABILITYSTATIONARY INTERVAL AVAILABILITYSTATIONARY MEAN INTERVAL PERFORMANCE PROBABILITIESREDUNDANCY
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 4 , December 1984 , pp. 826 - 835
Copyright
Copyright © Applied Probability Trust 1984 

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