Coherent systems based on sequential order statistics

The sequential order statistics (SOS) are a good way to model the lifetimes of the components in a system when the failure of a component at time t affects the performance of the working components at this age t. In this article, we study properties of the lifetimes of the coherent systems obtained using SOS. Specifically, we obtain a mixture representation based on the signature of the system. This representation is used to obtain stochastic comparisons. To get these comparisons, we obtain some ordering properties for the SOS, which in this context represent the lifetimes of k‐out‐of‐n systems. In particular, we show that they are not necessarily hazard rate ordered. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Optimal (τ, T) opportunistic maintenance of a k‐out‐of‐n:G system with imperfect PM and partial failure

The opportunistic maintenance of a k‐out‐of‐n:G system with imperfect preventive maintenance (PM) is studied in this paper, where partial failure is allowed. In many applications, the optimal maintenance actions for one component often depend on the states of the other components and system reliability requirements. Two new (τ, T) opportunistic maintenance models with the consideration of reliability requirements are proposed. In these two models, only minimal repairs are performed on failed components before time τ and the corrective maintenance (CM) of all failed components are combined with PM of all functioning but deteriorated components after τ; if the system survives to time T without perfect maintenance, it will be subject to PM at time T. Considering maintenance time, asymptotic system cost rate and availability are derived. The results obtained generalize and unify some previous research in this area. Application to aircraft engine maintenance is presented. © 2000 John Wiley & Sons;, Inc. Naval Research Logistics 47: 223–239, 2000     

Component importance for linear consecutive‐ k ‐Out‐of‐ n and m ‐Consecutive‐ k ‐Out‐of‐ n systems with exchangeable components

Measuring the relative importance of components in a mechanical system is useful for various purposes. In this article, we study Birnbaum and Barlow‐Proschan importance measures for two frequently studied system designs: linear consecutive k ‐out‐of‐ n and m ‐consecutive‐ k ‐out‐of‐ n systems. We obtain explicit expressions for the component importance measures for systems consisting of exchangeable components. We illustrate the results for a system whose components have a Lomax type lifetime distribution. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

基于k短路径的兵力机动路线优化方法

由于传统Dijkstra算法只能求解最优路径,结合兵力机动路线选择的需要,将求解k短路径的实用算法引入到兵力机动路线优化问题中,给出了算法的数据结构和步骤。在道路权重的确定上,提出将路程、通行能力和安全性三项指标相结合的思想,并给出了综合权重的计算方法。仿真实验表明所提方法具有较强的实用性。     

飞行器易损性指标计算的基本理论与方法(Ⅱ)

文章是飞行器易损性指标计算基本理论的第二部分。在第一部分给出的单次击中易损性指标计算公式的基础上, 研究了多次击中情况下飞行器易损性指标计算的两种方法, 并给出了相应的计算公式。最终通过具体的算例说明了方法的有效性     

逐步增加Ⅱ型截尾样本下k/N(G)系统可靠性指标的置信区间

在逐步增加Ⅰ型截尾样本下,研究k/N(G)系统可靠性指标的区间估计问题。假设部件寿命服从指数分布,利用极大似然法和Bayes方法,首先给出了部件失效率的Bayes近似置信区间,其次推导出了系统可靠度和平均寿命的Bayes近似置信区间的计算公式。最后给出随机模拟例子,并对置信区间的精度进行了讨论。     

Evaluating methods for the reliability of a large 2‐dimensional rectangular k‐within‐consecutive‐(r,s)‐out‐of‐(m,n):F system

A 2‐dimensional rectangular k‐within‐consecutive‐(r, s)‐out‐of‐(m, n):F system consists of m × n components, and fails if and only if k or more components fail in an r × s submatrix. This system can be treated as a reliability model for TFT liquid crystal displays, wireless communication networks, etc. Although an effective method has been developed for evaluating the exact system reliability of small or medium‐sized systems, that method needs extremely high computing time and memory capacity when applied to larger systems. Therefore, developing upper and lower bounds and accurate approximations for system reliability is useful for large systems. In this paper, first, we propose new upper and lower bounds for the reliability of a 2‐dimensional rectangular k‐within‐consecutive‐(r, s)‐out‐of‐(m, n):F system. Secondly, we propose two limit theorems for that system. With these theorems we can obtain accurate approximations for system reliabilities when the system is large and component reliabilities are close to one. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

一种新的概率数据关联滤波算法

在密集多回波条件下对单个机动目标跟踪的情况下,综合利用"最近邻"法和概率数据关联滤波算法,推出了一种基于"最近邻"方法的概率数据关联滤波算法,采用关联区域内总数固定的候选回波来更新被跟踪目标的状态,并进行了计算机仿真.结果表明,新滤波算法的跟踪性能明显要优于概率数据关联滤波算法,而且降低了概率数据关联滤波算法的计算量.因此,可以通过回波的残差协方差矩阵进行衡量,挑选总数固定的"最近邻"回波,取这些回波的加权和作为目标回波用于概率数据关联滤波算法中更新被跟踪目标的状态.     

On a class of multiple failure mode systems

The primary objective of this work is to introduce and perform a detailed study of a class of multistate reliability structures in which no ordering in the levels of components' performances is necessary. In particular, the present paper develops the basic theory (exact reliability formulae, reliability bounds, asymptotic results) that will make it feasible to investigate systems whose components are allowed to experience m ≥ 2 kinds of failure (failure modes), and their breakdown is described by different families of cut sets in each mode. For illustration purposes, two classical (binary) systems are extended to analogous multiple failure mode structures, and their reliability performance (bounds and asymptotic behavior) is investigated by numerical experimentation. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 167–185, 2002; DOI 10.1002/nav.10007     

备件冷储备方案下装备群任务可靠性建模

针对具有相同结构功能的装备群系统可靠性评估问题,根据任务周期内对装备完好数的要求,合理表示了系统状态转移过程。以部件任务期间状态变化为研究对象,将系统等效表示为多阶段任务系统,即串行k/N(G)系统。在确定系统可行状态过程基础上,分别建立了部件寿命分布在3种不同情形下的系统任务可靠性模型,并分析了备件冷储备方案的影响。为确定系统任务期间备件携带量提供决策支持,最后给出了一个应用实例。