Combined k-out-of-n:G, and consecutive k/sub c/-out-of-n:G systems

Qualification tests for a system are normally carried out according to either a k-out-of-n:G scheme, or a consecutive k/sub c/-out-of-n:G structure. The reliability of a combination of the two systems is evaluated, showing its benefit over each of the individual structures. As expected, the mean time to failure of the combined system is larger than any of them. Generalizations of the analysis are presented for tests with multi-state results, and for dependent tests. Illustrative numerical results are presented to substantiate the theory.

[1]  Dalen T. Chiang,et al.  Relayed Communication via Consecutive-k-out-of-n: F System , 1986, IEEE Transactions on Reliability.

[2]  James C. Fu,et al.  Reliability of Consecutive-k-out-of-n:F Systems with (k-1)-step Markov Dependence , 1986, IEEE Transactions on Reliability.

[3]  Stavros Papastavridis,et al.  Reliability of a Consecutive-k-out-of-n:F System for Markov-Dependent Components , 1987, IEEE Transactions on Reliability.

[4]  Amos E. Gera A consecutive k-out-of-n: G system with dependent elements - a matrix formulation and solution , 2000, Reliab. Eng. Syst. Saf..

[5]  Stavros Papastavridis,et al.  Mean Time to Failure for a Consecutive-k-out-of-n:F System , 1987, IEEE Transactions on Reliability.

[6]  W. Kuo,et al.  A consecutive-k-out-of-n:G system: the mirror image of a consecutive-k-out-of-n:F system , 1990 .

[7]  Ming Jian Zuo,et al.  Reliability evaluation of combined k-out-of-n: F, consecutive-k-out-of-n: F and linear connected-(r, s)-out-of-(m, n): F system structures , 2000, IEEE Trans. Reliab..

[8]  M. Chao,et al.  Survey of reliability studies of consecutive-k-out-of-n:F and related systems , 1995 .

[9]  Amos E. Gera Accommodating degradation results within a qualification procedure , 2001, Reliab. Eng. Syst. Saf..

[10]  Stavros Papastavridis,et al.  Exact Reliability Formulas for Linear & Circular Consecutive-k-out-of-n:F Systems , 1985, IEEE Transactions on Reliability.

[11]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[12]  Ming Jian Zuo,et al.  Generalized multi-state k-out-of-n: G systems , 2000, IEEE Trans. Reliab..