A consecutive-k-out-of-n:G system: the mirror image of a consecutive-k-out-of-n:F system

Kuo, Way; Zhang, W.; Zuo, Ming J.

doi:10.1109/24.55888

Cited by 143 publications

(50 citation statements)

References 12 publications

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“…A consecutive k-out-of-n:G system is an ordered sequence of n components such that the system works if and only if at least k consecutive components work. Similarly, for the reliability of this system, extensive work has been done by Tong [17], Kuo et al [16], Zuo [10], and Zuo and Kuo [9]. Consecutive k-out-of-n:F and G systems are divided into linear and circular systems correspond to the components arranged along a line or a circle.…”

Section: Introductionmentioning

confidence: 99%

A new method for computing the reliability of consecutivek-out-of-n:F systems

2016

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Abstract:In many physical systems, reliability evaluation, such as ones encountered in telecommunications, the design of integrated circuits, microwave relay stations, oil pipeline systems, vacuum systems in accelerators, computer ring networks, and spacecraft relay stations, have had applied consecutive k-out-of-n system models. These systems are characterized as logical connections among the components of the systems placed in lines or circles. In literature, a great deal of attention has been paid to the study of the reliability evaluation of consecutive kout-of-n systems. In this paper, we propose a new method to compute the reliability of consecutive k-out-of-n:F systems, with n linearly and circularly arranged components. The proposed method provides a simple way for determining the system failure probability. Also, we write R-Project codes based on our proposed method to compute the reliability of the linear and circular systems which have a great number of components.

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Section: Introductionmentioning

confidence: 99%

A new method for computing the reliability of consecutivek-out-of-n:F systems

2016

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“…The system reliability does not depend on the permutation of components for a circular consecutive-k-out-of-n system when k = n -1 or k = n. Thus any permutation of the components is an optimal design for such systems [6,11].…”

Section: Introductionmentioning

confidence: 99%

Design and performance analysis of consecutive-K-out-of-n structure

Zuo

Kuo

1990

Naval Research Logistics

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“…Kuo et al [30] presented the calculation method of the BI of component in the Cir/Con/ / systems. It was shown as follows: …”

Section: Definition 1 If the Sequencementioning

confidence: 99%

Reliability Optimization and Importance Analysis of Circular‐Consecutive k‐out‐of‐n System

Zhang

Zhao

et al. 2017

Mathematical Problems in Engineering

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The circular-consecutive -out-of-: ( ) system (Cir/Con/ / : ( ) system) usually consists of components arranged in a circle where the system fails (works) if consecutive components fail (work). The optimization of the Cir/Con/ / system is a typical case in the component assignment problem. In this paper, the Birnbaum importance-based genetic algorithm (BIGA), which takes the advantages of genetic algorithm and Birnbaum importance, is introduced to deal with the reliability optimization for Cir/Con/ / system. The detailed process and property of BIGA are put forward at first. Then, some numerical experiments are implemented, whose results are compared with two classic Birnbaum importance-based search algorithms, to evaluate the effectiveness and efficiency of BIGA in Cir/Con/ / system. Finally, three typical cases of Cir/Con/ / systems are introduced to demonstrate the relationships among the component reliability, optimal permutation, and component importance.

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A consecutive-k-out-of-n:G system: the mirror image of a consecutive-k-out-of-n:F system

Cited by 143 publications

References 12 publications

A new method for computing the reliability of consecutivek-out-of-n:F systems

A new method for computing the reliability of consecutivek-out-of-n:F systems

Design and performance analysis of consecutive-K-out-of-n structure

Reliability Optimization and Importance Analysis of Circular‐Consecutive k‐out‐of‐n System

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