Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T00:10:16.391Z Has data issue: false hasContentIssue false
  • English
  • Français

Multistate reliability theory—a case study

Published online by Cambridge University Press:  01 July 2016

Bent Natvig ,
Skule Sørmo ,
Arne T. Holen  and
Gutorm Høgåsen
Bent Natvig*
Affiliation:
University of Oslo
Skule Sørmo*
Affiliation:
D.I. Norway
Arne T. Holen*
Affiliation:
Norwegian Institute of Technology
Gutorm Høgåsen*
Affiliation:
University of Oslo
*
∗Postal address: Institute of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo 3, Norway.
∗∗ Postal address: D.I. Norge, 7000 Trondheim, Norway.
∗∗∗ Postal address: Department of Electrical Engineering and Computer Science, Norwegian Institute of Technology, 7034 Trondheim-NTH, Norway.
∗Postal address: Institute of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo 3, Norway.
Get access Rights & Permissions [Opens in a new window]

Abstract

Fortunately traditional reliability theory, where the system and the components are always described simply as functioning or failed, is on the way to being replaced by a theory for multistate systems of multistate components. However, there is a need for several convincing case studies demonstrating the practicability of the generalizations introduced. In this paper an electrical power generation system for two nearby oilrigs will be discussed. The amounts of power that may possibly be supplied to the two oilrigs are considered as system states.

Keywords

ELECTRICAL POWER GENERATION SYSTEMOILRIGAVAILABILITIESUNAVAILABILITIES
Type
Research Article
Information
Advances in Applied Probability , Volume 18 , Issue 4 , December 1986 , pp. 921 - 932
Copyright
Copyright © Applied Probability Trust 1986 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Apostol, T. M. (1969) Calculus , Vol. II, 2 edn. Wiley, New York.Google Scholar
Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Probability Models. Holt, Rinehart and Winston, New York.Google Scholar
Funnemark, E. and Natvig, B. (1985) Bounds for the availabilities in a fixed time interval for multistate monotone systems. Adv. Appl. Prob. 17, 638–655.Google Scholar
Hjort, N. L., Natvig, B. and Funnemark, E. (1985) The association in time of a Markov process with application to multistate reliability theory. J. Appl. Prob. 22, 474–480.Google Scholar
Karlin, S. and Taylor, H. M. (1975) A First Course in Stochastic Processes , 2nd edn. Academic Press, New York.Google Scholar
Natvig, B. (1985a) Multistate coherent systems. In Encyclopedia of Statistical Sciences , Vol. 5, ed. Johnson, N. L. and Kotz, S. Wiley, New York, 732–735.Google Scholar
Natvig, B. (1985b) Recent developments in multistate reliability theory. In Probabilistic Methods in the Mechanics of Solids and Structures , ed. Eggwertz, S. and Lind, N. L. Springer-Verlag, Berlin, 385–393.Google Scholar
Natvig, B. (1986) Improved bounds for the availabilities in a fixed time interval for multistate monotone systems. Adv. Appl. Prob. 18, 577–579.CrossRefGoogle Scholar
Sørmo, S. (1985) Multistate Monotone models–a Case Study. Unpublished cand. real, thesis (in Norwegian), Institute of Mathematics, University of Oslo.Google Scholar