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A simple derivation of exact reliability formulas for linear and circular consecutive-k-of-n: F systems

Part of: Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Erol A. Peköz  and
Sheldon M. Ross
Erol A. Peköz*
Affiliation:
University of California, Berkeley
Sheldon M. Ross*
Affiliation:
University of California, Berkeley
*
Postal address for both authors: Department of Industrial Engineering and Operations Research, University of Califomia, Berkeley, CA 94720, USA.
Postal address for both authors: Department of Industrial Engineering and Operations Research, University of Califomia, Berkeley, CA 94720, USA.
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Abstract

Exact reliability formulas for linear and circular consecutive-k-of-n: F systems are derived in the case of equal component reliabilities.

Keywords

SYSTEM OF COMPONENTSEQUAL COMPONENT RELIABILITIES

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Type
Short Communications
Information
Journal of Applied Probability , Volume 32 , Issue 2 , June 1995 , pp. 554 - 557
Copyright
Copyright © Applied Probability Trust 1995 

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Footnotes

∗

Supported by the US National Science Foundation under Grant DMS-9401834.

References

[1] Derman, D., Lieberman, G. and Ross, S. (1982) On the consecutive-k-out-of-n: F system. IEEE Trans. Reliability 31, 57–63.Google Scholar
[2] Lambris, M. and Papastavridis, S. (1985) Exact reliability formulas for linear and circular consecutive-k-of-n: F systems. IEEE Trans. Reliability 34, 124–126.Google Scholar
[3] Papastavridis, S. and Hadzichristos, I. (1988) Formulas for the reliability of a consecutivek-out-of-n: F system. J. Appl. Prob. 25, 772–779.Google Scholar
[4] Peköz, E. and Ross, S. (1994) Improving Poisson approximations. Prob. Eng. Inf. Sci. 8, 449–462.Google Scholar
[5] Shanthikumar, G. (1982) Recursive algorithm to evaluate the reliability of a consecutive-k-out-of-n: F system. IEEE Trans. Reliability 31, 442–443.Google Scholar