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Bounds for the availabilities in a fixed time interval for multistate monotone systems

Published online by Cambridge University Press:  01 July 2016

Espen Funnemark  and
Bent Natvig
Espen Funnemark*
Affiliation:
National Mass Radiography Service
Bent Natvig*
Affiliation:
University of Oslo
*
∗Postal address: P.O. Box 8155, Dep., Oslo 1, Norway.
∗∗Postal address: Institute of Mathematics, University of Oslo, P.O. Box 1053, Blindem, Oslo 3, Norway.
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Abstract

In this paper upper and lower bounds for the availability and unavailability, to any level, in a fixed time interval are arrived at for multistate monotone systems based on corresponding information on the multistate components. These are assumed to be maintained and interdependent. Such bounds are of great interest when trying to predict the performance process of the system, noting that exact expressions are obtainable just for trivial systems. The bounds given generalize the existing bounds known in traditional binary theory, and represent improvements of the ones now being developed in multistate theory.

Keywords

UNAVAILABILITIES: MAINTENANCEINTERDEPENDENT COMPONENTS
Type
Research Article
Information
Advances in Applied Probability , Volume 17 , Issue 3 , September 1985 , pp. 638 - 665
Copyright
Copyright © Applied Probability Trust 1985 

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