Reliability bounds for multi-state k-out-of-n systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)53-58
Journal / PublicationIEEE Transactions on Reliability
Volume57
Issue number1
Publication statusPublished - Mar 2008

Abstract

Algorithms have been available for exact performance evaluation of multi-state k-out-of-n systems. However, especially for complex systems with a large number of components, and a large number of possible states, obtaining "reliability bounds" would be an interesting, significant issue. Reliability bounds will give us a range of the system reliability in a much shorter computation time, which allow us to make decisions more efficiently. The systems under consideration are multi-state k-out-of-n systems with i.i.d. components. We will focus on the probability of the system in states below a certain state d, denoted by Qsd. Based on the recursive algorithm proposed by Zuo & Tian [14] for performance evaluation of multi-state k-out-of-n systems with i.i.d. components, a reliability bounding approach is developed in this paper. The upper, and lower bounds of Qsd are calculated by reducing the length of the mmb k vector when using the recursive algorithm. Using the bounding approach, we can obtain a good estimate of the exact Qsd value while significantly reducing the computation time. This approach is attractive, especially to complex systems with a large number of components, and a large number of possible states. A numerical example is used to illustrate the significance of the proposed bounding approach. © 2008 IEEE.

Research Area(s)

  • Bound, k-out-of-n systems, Multi-state, Recursive algorithm

Citation Format(s)

Reliability bounds for multi-state k-out-of-n systems. / Tian, Zhigang; Yam, Richard C.M.; Zuo, Ming J.; Huang, Hong-Zhong.

In: IEEE Transactions on Reliability, Vol. 57, No. 1, 03.2008, p. 53-58.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review