Some aging properties of parallel and series systems with a random number of components

In this article, we study aging properties of parallel and series systems with a random number of components. We show that the decreasing likelihood ratio property is closed under the formation of random minima. We also show, by counterexamples, that other aging properties are not closed under the formation of random minima or maxima. Some mistakes in the literature are corrected. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 238–243, 2014     

要地反巡探测系统漏警率的建模及评估

要地反巡探测系统的设计需根据作战指标确定系统能力,此问题涉及到系统的建模及效能评估。应用随机服务理论,对要地反巡探测系统的搜索过程建立了M/D/C模型。根据M/D/C模型计算公式,以AR320地基监视雷达、地空联合探测的搜索过程为算例,验证了搜索模型的正确性,给出了目标漏警率、搜索波束数量与目标出动强度的关系。此模型扩展性良好,研究结果可对系统的设计和评价有所借鉴。     

基于增强型MAD单特征量地磁匹配导航算法

为了提高基于MAD(mean absolute differences,平均绝对差)算法的单特征量地磁匹配导航系统的定位精度,研究分析了影响MAD算法的地磁匹配定位精度的主要因素,引入RANSAC(random sample consensus,随机抽样一致)鲁棒算法与粗精匹配结合的分层搜索策略来提高匹配精度及缩短匹配时间.仿真试验结果表明,该算法能够在一定程度上提高单特征量的地磁匹配的精度与稳定性,并大大缩短匹配时间.     

屏蔽数据在新型截尾样本下系统的可靠性分析

当系统含有屏蔽数据时,在具有随机移走逐步增加型截尾模型下,讨论了部件寿命服从双参数指数分布的串联系统可靠性估计问题。设随机移走系统数服从二项分布,利用极大似然方法,Bayes理论及方法,推导出双参数指数部件参数、系统可靠性函数、失效率函数及移走概率的极大似然估计和Bayes估计。并利用Monte Carlo方法对两种估计结果进行了比较,表明Bayes估计较极大似然估计效果更优。     

Warranty claims modeling

A company wishes to estimate or predict its financial exposure in a reporting period of length T (typically one quarter) because of warranty claims. We propose a fairly general random measure model which allows computation of the Laplace transform of the total claim made against the company in the reporting interval due to warranty claims. When specialized to a Poisson process of both sales and warranty claims, statistical estimation of relevant quantities is possible. The methodology is illustrated by analyzing automobile sales and warranty claims data from a large car manufacturer for a single car model and model year. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于排队论的反舰导弹突防概率研究

根据水面舰艇对海导弹攻击中作战指挥的需要,提出了基于排队论中随机服务理论的反舰导弹突防概率解算模型.综合研究了目标舰艇编队采用各种手段进行抗击帮助条件下,反舰导弹突防概率的计算问题,并且结合想定装备参数进行了算例分析.为指挥员实施导弹攻击提供辅助决策和量化支持.     

基于磨损量的数学模型及其数值模拟与分析

通过建立及讨论摩擦片磨损量的数学模型,用随机数学的方法给出了该模型的概率分布,并初步讨论了该分布的一些基本特征,通过数值模拟还给出了其独特的分布特征,如与正态分布的关系与区别,从而也为摩擦片失效分析提供了新的模型与方法.     

Attrition through a partially coordinated area defense

An area defense consists of several groups that act independently, i.e., do not communicate with each other. Each group has a fixed number of defenders and a controller that allocates these defenders optimally against the individual attackers comprising an attack. We analyze the effectiveness of this partially coordinated defense against a simultaneous attack of known size in which all attackers are considered to be equally lethal. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

Estimating the point availability with right‐censored data

The point availability of a one‐unit system at a specified time is defined as the probability that the component is operating at that time. When both operating time and repair time are subject to random (right) censorship, we propose an asymptotic nonparametric approach for constructing confidence intervals for the point availability of the system. The technique is based on the fact that a product limit estimator converges to a Gaussian process. The method is also extended to finding confidence intervals for the point availability of a complex system using the δ‐Method. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 119–127, 1999     

作战准备车辆装备质量分层抽样方法研究

针对当前我军车辆装备质量全面技术普查过程中存在的问题，探索一种新的作战准备车辆装备质量评估方法——抽样评估法，综合运用简单随机抽样和分层抽样，提出作战准备车辆装备质量抽样的样本量确定方法和子样本量分配方法，最后示例说明该方法的应用。