ANALYSIS OF RELIABILITY CHARACTERISTICS OF A COMPLEX ENGINEERING SYSTEM UNDER COPULA

ANALYSIS OF RELIABILITY CHARACTERISTICS OF A COMPLEX ENGINEERING SYSTEM UNDER COPULA
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COPULA下复杂工程系统可靠性特性分析

DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
S. B. Singh
S. B. Singh
中科院分区：
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文献类型：
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作者：
M. Ram;S. B. Singh

文献摘要

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本文对一个复杂系统进行建模，分析其可靠性特性。该系统有两种可能的模式-正常和故障，两种类型的维修设施-主要和次要。系统可能由于任何单元的故障而失效，这些单元可能以n种互斥方式或共因故障失效。系统的每个部件都有一个恒定的故障率。系统可以用指数型和任意型两种不同的分布进行修复。利用补充变量技术和GumbelHougaard家族联结法，得到了系统的各种过渡态概率、可用性和成本分析（期望利润）与稳态行为的拉普拉斯变换及其图。最后给出了数值算例，并对重要结果进行了说明。
This paper models a complex system to analyse its reliability characteristics. The system has two possible modes-normal and failed with two types of repair facilities-major and minor. The system can fail due to failure of any units which can fail in n-mutually exclusive ways or common cause failure. Each component of the system has a constant failure rate. The system can be repaired with two different distributions viz. exponential and arbitrary. By employing supplementary variable technique and GumbelHougaard family copula, Laplace transformation of various transition state probabilities, availability and cost analysis (expected profit) along with steady-state behaviour of the system and their plots have been obtained. Numerical examples with a way to highlight the important results have been appended at last.