Performance evaluation of generalized multi-state k-out-of-n systems

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

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Author(s)

Detail(s)

Original languageEnglish
Title of host publicationIIE Annual Conference and Exposition 2005
Publication statusPublished - 2005

Conference

TitleIIE Annual Conference and Exposition 2005
PlaceUnited States
CityAtlanta, GA
Period14 - 18 May 2005

Abstract

The generalized multi-state k-out-of-n:G system model defined by Huang et al. (2000) provides more flexibilities for modeling of multi-state systems. However, the performance evaluation algorithm they proposed for such systems is not efficient, and it is applicable only when the ki values follow a monotonic pattern. In this paper, we define the concept of generalized multi-state k-out-of-n:F systems. There is an equivalent generalized multi-state k-out-of-n:G system with respect to each generalized multi-state k-out-of-n:F system, and vice the versa. An efficient recursive algorithm based on minimal cut vectors is developed to evaluate the state distributions of a generalized multi-state k-out-of-n:F system. Thus, a generalized multi-state k-out-of-n:G system can first be transformed to the equivalent generalized multi-state k-out-of-n:F system, and then be evaluated using the proposed recursive algorithm. Numerical examples are given to illustrate the effectiveness and efficiencies of the proposed recursive algorithms.

Research Area(s)

  • Generalized multi-state k-out-of-n system, Minimal cut vector, Recursive algorithm

Citation Format(s)

Performance evaluation of generalized multi-state k-out-of-n systems. / Tian, Zhigang; Zuo, Ming J.; Yam, Richard C. M.

IIE Annual Conference and Exposition 2005. 2005.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review