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American Journal of Mathematical and Management Sciences Volume 5, 1985 - Issue 1-2
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Original Articles

Consecutive K-Out-of-N Failure Systems: Reliability, Availability, Component Importance, and Multistate Extensions

William S. GriffithDepartment of StatisticsUniversity of KentuckyLexington, Kentucky40506
&
Z. GovindarajuluDepartment of StatisticsUniversity of KentuckyLexington, Kentucky40506
Pages 125-160 | Published online: 14 Aug 2013

  • BarlowR. E. and ProschanF. (1981). Statistical Theory of Reliability and Life Testing: Probability Models, Second Printing. To Begin With, Silver SpringMaryland.
  • BarlowR. E. And WuA. S. (1978). Coherent systems with multi-state components. Mathematics of Operations Research, 3, 275–281.
  • BimbaumZ. W. (1969). On the importance of different components in a multi-component system. In Multivariate Analysis - II (KrishnaiahP. R., Editor). Academic Press, New York.
  • BollingerR. C. and SalviaA. A. (1982). Consecutive k-out-of-n: F networks. IEEE Transactions on Reliability, R-31, 53–56.
  • ChiangD. T. and NiuS. C. (1981). Reliability of consecutive k-out-of-n: F system. IEEE Transactions on Reliability, R-30, 87–89.
  • DermanC., LiebermanG. J. and RossS. M. (1982). On the consecutive k-out-of-n: F system. IEEE Transactions on Reliability, R-31, 57–63.
  • El-NeweihiE., ProschanF. and SethuramanJ. (1978). Multi-state coherent systems. Journal of Applied Probability, 15, 675–688.
  • FellerW. (1968). An Introduction to Probability Theory and its Applications, Volume 1, Third Edition. John Wiley § Sons, Inc., New York.
  • GriffithW. S. (1980). Multi-state reliability models. Journal of Applied Probability, 17, 735–744.
  • The IMSL Library, Sixth Edition, (1977). International Mathematical and Statistical Libraries, Inc., HoustonTexas.
  • KaoS. C. (1982). Computing reliability from warranty. Proceedings of the American Statistical Association, Section on Statistical Computing, 309–312.
  • KontoleonJ. M. (1980). Reliability determination of a r-successive-out-of-n: F system. IEEE Transactions on Reliability, R-29, No. 5, 437.
  • LambertH. E. (1975). Measures of importance of events and cut sets in fault trees. In Reliability and Fault Tree Analysis (BarlowR. E., FussellJ. B., and SingpurwallaN. D., Editors), Society for Industrial and Applied Mathematics, Philadelphia.
  • NatvigB. (1982). Two suggestions of how to define a multistate coherent system. Advances in Applied Probability, 14, No. 2, 434–455.
  • RossS. (1979). Multivalued state component systems. Annals of Probability, 7, 379–383.
  • ShanthikumarJ. G. (1982). Recursive algorithm to evaluate the reliability of a consecutive k-out-of-n: F system. IEEE Transactions on Reliability, R-31, 442–443.

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