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Formulas for the reliability of a consecutive-K-Out-of-n: F system

Published online by Cambridge University Press:  14 July 2016

S. Papastavridis
Affiliation:
University of Patras
I. Hadzichristos*
Affiliation:
University of Patras
*
Postal address for both authors: Applied Mathematics Division, University of Patras, 26110 Patras, Greece.

Abstract

General exact formulas are established to calculate the reliability of a consecutive-k-out-of-n: F system. The optimality of the system, under permutation of the components, is examined too.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1988 

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References

[1] Bollinger, R. C. (1982) Direct computation for consecutive-k:-out-of-n: F Systems. IEEE Trans. Reliability 31, 444446.CrossRefGoogle Scholar
[2] Bollinger, R. C. and Salvia, A. (1982) Consecutive-k-out-of-n: F networks. IEEE Trans. Reliability 31, 5356.Google Scholar
[3] Bollinger, R. C. and Salvia, A. (1985) Consecutive-k-out-of-n: F system with sequential failures. IEEE Trans. Reliability 34, 4345.Google Scholar
[4] Chao, M. and Lin, G. (1984) Economical design of large consecutive-k-out-of-n: F systems. IEEE Trans. Reliability 33, 411413.Google Scholar
[5] Chiang, D. and Niu, S. (1981) Reliability of a consecutive-k-out-of-n: F system. IEEE Trans. Reliability 30, 8789.Google Scholar
[6] Chiang, D. T. and Chiang, R. F. (1986) Relayed communication via consecutive-k-out-of-n: F system. IEEE Trans. Reliability 35, 6567.Google Scholar
[7] Derman, D., Lieberman, G. and Ross, S. (1982) On the consecutive-k-out-of-n: F system. IEEE Trans. Reliability 31, 5763.CrossRefGoogle Scholar
[8] Du, D. Z. and Hwang, F. K. (1985) Optimal 2-out-of-n system. Math. Operat. Res. Google Scholar
[9] Fu, J. C. (1985) Reliability of a large consecutive-k-out-of-n: F system. IEEE Trans. Reliability 34,127130.Google Scholar
[10] Griffith, W. (1986) On consecutive k-out-of-n: F failure system and their generalizations. Reliability and Quality Control , pp. 157165.Google Scholar
[11] Griffith, W. and Govindarajulu, Z. (1985) Consecutive-k-out-of-n: F failure systems: reliability and availability analysis with some multistate extensions. Amer. J. Math. Management Sci. 5, 125160.Google Scholar
[12] Hadzichristos, J. and Papastavridis, S. (1985) Mean time to failure for a consecutive-k-out-of-n: F system. IEEE Trans. Reliability. Google Scholar
[13] Hwang, F. (1982) Fast solutions for consecutive-k-out-of-n: F systems. IEEE Trans. Reliability 31, 447448.CrossRefGoogle Scholar
[14] Hwang, F. K. (1986) Simplified reliabilities for consecutive-k- out-of-n: f systems. SIAM J. Alg. Disc. Math. 7, 258264.Google Scholar
[15] Kao, S. C. (1982) Computing reliability from warranty. Proc. Amer. Statist. Assoc., Section on Statist. Comput., 309312.Google Scholar
[16] Kontoleon, J. (1980) Reliability determination of a r-successive-out-of-n: F system, IEEE Trans. Reliability 29, 437.Google Scholar
[17] Lambiris, M. and Papastavridis, S. (1985) Exact reliability formulas for linear and circular consecutive-k-out-of-n: F systems. IEEE Trans. Reliability 34, 124126.Google Scholar
[18] Malón, D. (1984) Optimal consecutive-2-out-of-n: F component sequencing. IEEE Trans. Reliability 33, 414418.Google Scholar
[19] Malón, D. (1985) Optimal consecutive-k-out-of-n: F component sequencing. IEEE Trans. Reliability 34, 4649.Google Scholar
[20] Riordan, J. (1978) An Introduction to Combinational Analysis. Princeton University Press.Google Scholar
[21] Shanthikumar, G. (1982) Recursive algorithm to evaluate the reliability of a consecutive-k-out-of-n: F system. IEEE Trans. Reliability 31, 442443.Google Scholar
[22] Tong, Y. (1985) A rearrangment inequality for the longest run with an application to network reliability. J. Appl. Prob. 22, 386393.Google Scholar
[23] Wei, V. K., Hwang, F. and Sos, V. (1983) Optimal sequencing of items in a consecutive-2-out-of-n: F system. IEEE Trans. Reliability 32, 3033.Google Scholar