On optimal system designs in reliability‐economics frameworks
On optimal system designs in reliability‐economics frameworks
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DOI：
10.1002/nav.20245
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发表时间：
2007-08
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影响因子：
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通讯作者：
Michael R. Dugas;F. Samaniego
中科院分区：
文献类型：
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作者：
Michael R. Dugas;F. Samaniego
可靠性经济学是一个可以定义为所有问题的集合的领域，其中感兴趣的系统的性能与其成本之间存在紧张关系。考虑到这样的问题，目标是通过优化过程来解决压力，该优化过程确定最大化某些适当标准函数（例如每单位成本的预期寿命）的系统。在本文中，我们重点关注 n 个独立同分布 (iid) 组件及其混合的相干系统，并将系统的性能和成本描述为系统签名向量的函数（Samaniego，IEEE Trans Reliabil (1985) 69–72）。对于给定的准则函数族，任意阶 n 的系统可以获得多种最优结果。当底层组件分布未知时，会开发并验证近似值。假设有 N 个组件失效时间的辅助样本，L-估计量的渐近理论适用于建立所研究系统的 n 个组件的预期有序失效时间的所提出的估计量的一致性和渐近正态性。这些结果导致相对于所选标准函数识别 ε 最优系统。 © 2007 Wiley periodicals, Inc. 海军研究后勤部，2007 年
Reliability Economics is a field that can be defined as the collection of all problems in which there is tension between the performance of systems of interest and their cost. Given such a problem, the aim is to resolve the tension through an optimization process that identifies the system which maximizes some appropriate criterion function (e.g. expected lifetime per unit cost). In this paper, we focus on coherent systems of n independent and identically distributed (iid) components and mixtures thereof, and characterize both a system's performance and cost as functions of the system's signature vector (Samaniego, IEEE Trans Reliabil (1985) 69–72). For a given family of criterion functions, a variety of optimality results are obtained for systems of arbitrary order n. Approximations are developed and justified when the underlying component distribution is unknown. Assuming the availability of an auxiliary sample of N component failure times, the asymptotic theory of L‐estimators is adapted for the purpose of establishing the consistency and asymptotic normality of the proposed estimators of the expected ordered failure times of the n components of the systems under study. These results lead to the identification of ε‐optimal systems relative to the chosen criterion function. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007