Journal ArticleDOI
On Computing Signatures of k-out-of-n Systems Consisting of Modules
Gaofeng Da,Lvyu Xia,Taizhong Hu +2 more
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TLDR
The main results obtained in this paper generalize some related ones in recent literature about the signature of a k-out-of-n coherent system consisting of n modules.Abstract:
In this paper, we study how to compute the signature of a k-out-of-n coherent system consisting of n modules. Formulas for computing the signature and the minimal signature of this kind of systems based on those of their modules are derived. Examples are presented to demonstrate the applications of our formulas. The main results obtained in this paper generalize some related ones in recent literature.read more
Citations
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Journal ArticleDOI
A new computation method for signature: Markov process method
He Yi,Lirong Cui +1 more
TL;DR: A Markov process method is proposed to compute signatures for general coherent systems in this paper, which is more efficient for the computation of the system signature.
Journal ArticleDOI
Component Level Versus System Level $k$ -Out-of- $n$ Assembly Systems
Gaofeng Da,Weiyong Ding +1 more
TL;DR: From this result, some useful principles for assembling $K$ -out-of- $N$ -systems optimally are proposed.
Book ChapterDOI
On Bivariate Signatures for Systems with Independent Modules
Gaofeng Da,Taizhong Hu +1 more
TL;DR: The equivalent definition for the bivariate signature in the sense of order statistics of component lifetimes is given and the formula for computing thebivariate signature of the dual of a 3-state system is established.
Journal ArticleDOI
Computations of the signature reliability of the coherent system
Akshay Kumar,Sohan Singh +1 more
TL;DR: In this paper, the authors have developed a coherent system based on the universal generating function technique and evaluated the signature reliability of the coherent system with the help of these systems, they have evaluated a mathematical structure using universal GF.
Journal ArticleDOI
On the signature of complex system: A decomposed approach
TL;DR: This study proposes a novel approach to computing the signature of a system consisting of subsystems with shared components that relies on a new concept called decomposed survival signatures, which can be efficiently used to compute the signatures of a modular system with an arbitrary organizing structure.
References
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Journal ArticleDOI
Statistical Theory of Reliability and Life Testing Probability Models
Book
Statistical Theory of Reliability and Life Testing: Probability Models
Richard E. Barlow,Frank Proschan +1 more
TL;DR: A number of new classes of life distributions arising naturally in reliability models are treated systematically and each provides a realistic probabilistic description of a physical property occurring in the reliability context, thus permitting more realistic modeling of commonly occurring reliability situations.
Book
Optimal Reliability Modeling: Principles and Applications
Way Kuo,Ming J. Zuo +1 more
TL;DR: In this paper, the authors proposed a model for system reliability using Fault Tree Analysis (FTA) to evaluate the performance of one-and two-stage systems with different types of components.
Book
System Signatures and their Applications in Engineering Reliability
TL;DR: This paper presents a meta-analysis of the application of Signature-Based Closure, Preservation and Characterization Theorems to Network Reliability and its applications in Reliability Economics and Signature-based Analysis of System Lifetimes.
Journal ArticleDOI
On Closure of the IFR Class Under Formation of Coherent Systems
TL;DR: In this paper, the authors derived the failure rate of an arbitrary s-coherent system when the lifetimes of its components are s-independently distributed according to a common absolutely continuous distribution.