On reliability analysis of a k-out-of-n system with components having random weights

Serkan Eryilmaz

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On reliability analysis of a k-out-of-n system with components having random weights

机译：关于具有随机权重的k-out-of-n系统的可靠性分析

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Consider a system consisting of n components each with its own positive integer-valued random weight (capacity). The system is assumed to have a performance level above c if there are at least k working components, and the total weight of all working components is above c. We study the reliability properties of such a system. A recursive formula is obtained for computing the system state probabilities. We present a Monte-Carlo simulation algorithm to observe the time spent by the system in state c or above. The algorithm is based on the use of ordered lifetimes of components. We illustrate the results with numerical computations.

机译：考虑一个由n个组件组成的系统，每个组件都有自己的正整数值随机权重（容量）。如果至少有k个工作组件，并且所有工作组件的总重量都超过c，则假定系统的性能水平高于c。我们研究了这种系统的可靠性。获得用于计算系统状态概率的递归公式。我们提出了一种蒙特卡洛模拟算法，以观察系统在状态c或更高状态下花费的时间。该算法基于组件有序寿命的使用。我们用数值计算来说明结果。

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来源
《Reliability Engineering & System Safety》 |2013年第1期|41-44|共4页
作者
Serkan Eryilmaz;
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作者单位

Atilim University, Department of Industrial Engineering, 06836 Ankara, Turkey;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
k-out-of-n system; monte-carlo simulation; system with weighted components; order statistics;

机译：n个系统中的k个;蒙特卡罗模拟具有加权组件的系统;订单统计;

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专利

1. Reliability Analysis of Randomly Weighted k-out-of-n Systems with Heterogeneous Components [J] . Zhang Yiying Reliability Engineering & System Safety . 2021,第Jana期

机译：非均质组件随机加权K-OUT-N系统的可靠性分析
2. On the reliability modeling of weighted k-out-of-n systems with randomly chosen components [J] . Salehi M., Shishebor Z., Asadi M. Metrika: International Journal for Theoretical and Applied Statistics . 2019,第5期

机译：在随机选择组件的加权K-OUT-N系统的可靠性建模
3. Joint reliability and weighted importance measures of a k-out-of-n system with random weights for components [J] . Meshkat R. S., Mahmoudi E. Journal of Computational and Applied Mathematics . 2017,第期

机译：具有随机重量的K-Out-N个系统的联合可靠性和加权重要性测量组件
4. Availability Analysis of Multi-state Weighted k-out-of-n Systems with Component Performance Requirements [C] . Chen Zhiwei, Zhao Tingdi, Jiao Jian, Annual Reliability and Maintainability Symposium . 2018

机译：具有组件性能要求的多状态加权k-out-n系统的可用性分析
5. Modeling the effects of the two stochastic-processes on the reliability and maintenance of k-out-of-n surveillance systems. [D] . Zhang, Yao. 2014

机译：模拟这两个随机过程对n个监控系统的可靠性和维护性的影响。
6. Effects of Exercise Interventions on Weight Body Mass Index Lean Body Mass and Accumulated Visceral Fat in Overweight and Obese Individuals: A Systematic Review and Meta-Analysis of Randomized Controlled Trials [O] . Hyun Suk Lee, Junga Lee 2021

机译：运动干预对超重和肥胖个体体重体重指数瘦体重和累积内脏脂肪的影响：随机对照试验的系统审查和荟萃分析
7. Time-dependent reliability of (weighted) k-out-of-n systems with identical component deterioration [O] . Cao Wang 2021

机译：具有相同分量劣化的（加权）K-OF-N系统的时间依赖性可靠性

On reliability analysis of a k-out-of-n system with components having random weights

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