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Optimal Assemblies of Consecutive-2 Link Systems

Published online by Cambridge University Press:  27 July 2009

D. Z. Du  and
F. K. Hwang
D. Z. Du
Affiliation:
Department of Computer Science, University of Minnesota, Minneapolis, Minnesota 55455
F. K. Hwang
Affiliation:
AT&T Bell Laboratories, Murray Hill, New Jersey 07974
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Abstract

Recently, the well-studied consecutive-2 (out-of-n) system has been extended to the consecutive-2 link system, in which links are also part of the system and can be failed. Furthermore, links of the two types i → i + 1 and i → i + 2 are recognized to be different entities. We study the optimal assembly problem for the link system and obtain results that generalize previous results on the consecutive-2 system.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 4 , October 1994 , pp. 511 - 520
Copyright
Copyright © Cambridge University Press 1994

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References

1.Chen, R., Hwang, F.K., & Li, W.W. (1993). Consecutive-2-out-of-n:F systems with node and link failures. IEEE Transactions on Reliability 42: 497–502.CrossRefGoogle Scholar
2.Chiang, D.T. & Niu, S.C. (1980). Reliability of consecutive-k-out-of-n:F system. IEEE Transactions on Reliability 30: 87–89.Google Scholar
3.Derman, C., Lieberman, G., & Ross, S. (1982). On the consecutive-k-out-of-n:F system. IEEE Transactions on Reliability 31: 57–63.CrossRefGoogle Scholar
4.Du, D.Z. & Hwang, F.K. (1986). Optimal consecutive-2-out-of-n systems. Mathematics of Operations Research 11: 187–191.CrossRefGoogle Scholar
5.Hwang, F.K. (1982). Fast solutions for consecutive-k-out-of-n systems. IEEE Transactions on Reliability 31: 441–448.Google Scholar
6.Hwang, F.K. & Li, W.W. (1993). Connectivity reliabilities and Hamiltonian reliabilities of linear and circular consecutive-2 link systems. Preprints.Google Scholar
7.Hwang, F.K. & Wright, P. (1993). Survival reliabilities of some double-loop networks and chordal rings. IEEE Transactions on Computers (to appear).Google Scholar
8.Kontoleon, J.M. (1980). Reliability determination of a n-successively-out-of-n:F system. IEEE Transactions on Reliability 29: 435.Google Scholar
9.Malon, D.M. (1984). Optimal consecutive-2-out-of-n:F component sequencing. IEEE Transactions on Reliability 33: 414–418.CrossRefGoogle Scholar