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

  • Erol A. Peköz (a1) and Sheldon M. Ross (a1)
Abstract

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

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Corresponding author
Postal address for both authors: Department of Industrial Engineering and Operations Research, University of Califomia, Berkeley, CA 94720, USA.
References
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[1]Derman D., Lieberman G. and Ross S. (1982) On the consecutive-k-out-of-n: F system. IEEE Trans. Reliability 31, 5763.
[2]Lambris M. and Papastavridis S. (1985) Exact reliability formulas for linear and circular consecutive-k-of-n: F systems. IEEE Trans. Reliability 34, 124126.
[3]Papastavridis S. and Hadzichristos I. (1988) Formulas for the reliability of a consecutivek-out-of-n: F system. J. Appl. Prob. 25, 772779.
[4]Peköz E. and Ross S. (1994) Improving Poisson approximations. Prob. Eng. Inf. Sci. 8, 449462.
[5]Shanthikumar G. (1982) Recursive algorithm to evaluate the reliability of a consecutive-k-out-of-n: F system. IEEE Trans. Reliability 31, 442443.
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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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