刚性夹杂双周期分布的反平面问题

在遵循复合材料中各夹杂相互影响的条件下,构造呈双周期分布且相互影响的椭圆形刚性夹杂模型的复应力函数,采用复变函数的依次保角映射方法,达到满足各个夹杂的边界条件,利用围线积分将求解方程组化为线性代数方程组,推导出了椭圆形刚性夹杂呈双周期分布的界面应力解析表达式,并讨论了夹杂间距对界面应力最大值（应力集中系数）的影响规律,描绘出了曲线。     

成败型产品验收试验方案研究

在可靠性定型试验的基础上,利用多层贝叶斯方法确定批产品可靠性指标的先验分布,从而制定出成败型产品可靠性验收试验的一种贝叶斯方案.给出利用定型试验信息确定产品可靠性指标先验分布的方法.这种验收方法充分利用了产品定型试验中的先验信息,在确保有较好验收效果的前提下,与传统的验收试验相比,可以大大减少试验量,从而得到可观的经济效益.     

A general model of heterogeneous system lifetimes and conditions for system burn‐in

Burn‐in is a technique to enhance reliability by eliminating weak items from a population of items having heterogeneous lifetimes. System burn‐in can improve system reliability, but the conditions for system burn‐in to be performed after component burn‐in remain a little understood mathematical challenge. To derive such conditions, we first introduce a general model of heterogeneous system lifetimes, in which the component burn‐in information and assembly problems are related to the prediction of system burn‐in. Many existing system burn‐in models become special cases and two important results are identified. First, heterogeneous system lifetimes can be understood naturally as a consequence of heterogeneous component lifetimes and heterogeneous assembly quality. Second, system burn‐in is effective if assembly quality variation in the components and connections which are arranged in series is greater than a threshold, where the threshold depends on the system structure and component failure rates. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 364–380, 2003.     

存在工作历程产品的加速寿命试验统计分析

加速寿命试验(ALT)可在较短时间内获得产品的寿命及可靠性信息.利用ALT对产品的剩余寿命进行评估时,常常将已工作过的产品进行抽样并投入试验,在这一类样本的ALT数据统计分析时如何处理初始工作时间,成为ALT应用中的一个重要问题.工程实际中评估此类样本的剩余寿命时常常忽略初始工作时间,将其视为"用后如新"或"无记忆性"产品.但此假设必须以产品寿命服从指数分布为前提,而大部分机电产品的寿命服从Weibull分布,因而该方法在应用时必然会产生较大误差.针对这一问题提出了一种新的基于时间折算的ALT数据统计分析方法,并利用Monte Carlo仿真对其估计特性进行对比研究,结果表明此方法能有效评估存在初始工作历程产品的剩余寿命,估计精度优于原方法.     

雷达干扰资源一对多分配方法

在对雷达干扰资源分配的一般优化模型和求解算法进行分析的基础上,从提高资源利用效率的角度出发,提出了目标雷达分群思想,并建立了一种新的基于一对多策略的雷达干扰资源分配模型,通过对目标雷达群的一对一分配实现对单部雷达的一对多分配.最后,对该模型中一些关键性问题进行了探讨,如任务整合、新任务参数确定、任务优先级排序、干扰机位置部署以及单目标雷达群干扰效益评估等.     

布尔函数的Walsh谱绝对值分布及其性质研究

提出并研究了布尔函数的Walsh谱绝对值分布.指出布尔函数Walsh谱绝对值分布在仿射变换下的不变性,计算了n(n≤5)元布尔函数的Walsh谱绝对值分布,研究了Walsh谱绝对值分布与Walsh谱支撑和Walsh谱中非零取值个数以及其他一些密码学难题的联系,最后研究了布尔函数的Walsh谱绝对值分布的大小.     

Properties of a mean residual life function arising from renewal theory

The present article discusses the properties of the mean residual life function in a renewal process. We examine the relationship this function has with the failure rate function and the conventional mean, variance and coefficient of variation of residual life. We also discuss some monotonicity properties of the mean residual life function. A partial order based on the renewal mean residual function is introduced along with its interrelationship with some existing stochastic orders. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

Estimating failure time distribution and its parameters based on intermediate data from a Wiener degradation model

Instead of measuring a Wiener degradation or performance process at predetermined time points to track degradation or performance of a product for estimating its lifetime, we propose to obtain the first‐passage times of the process over certain nonfailure thresholds. Based on only these intermediate data, we obtain the uniformly minimum variance unbiased estimator and uniformly most accurate confidence interval for the mean lifetime. For estimating the lifetime distribution function, we propose a modified maximum likelihood estimator and a new estimator and prove that, by increasing the sample size of the intermediate data, these estimators and the above‐mentioned estimator of the mean lifetime can achieve the same levels of accuracy as the estimators assuming one has failure times. Thus, our method of using only intermediate data is useful for highly reliable products when their failure times are difficult to obtain. Furthermore, we show that the proposed new estimator of the lifetime distribution function is more accurate than the standard and modified maximum likelihood estimators. We also obtain approximate confidence intervals for the lifetime distribution function and its percentiles. Finally, we use light‐emitting diodes as an example to illustrate our method and demonstrate how to validate the Wiener assumption during the testing. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于改进空战威胁评估模型的权重计算方法比较

针对多无人机(UAV)任务网协同空战态势威胁评估问题,在现有基本模型基础上增加考虑气象环境对威胁评估要素的影响和无人机的自主可靠性系数两个实际因素,提出一种改进的超视距空战威胁评估模型;同时,应用串联电阻分压法、改进AHP法和熵权法分别计算融合模型中各威胁指标的权重系数;进而,在考虑己方战机对敌方战机综合威胁与优势的基础上,介绍了战机协同空战目标分配的基本方案。最后,应用上述3种权重计算方法进行空战威胁仿真计算,计算结果表明改进空战威胁评估模型可有效改善空战决策性能。     

Mean residual life of coherent systems consisting of multiple types of dependent components

Mean residual life is a useful dynamic characteristic to study reliability of a system. It has been widely considered in the literature not only for single unit systems but also for coherent systems. This article is concerned with the study of mean residual life for a coherent system that consists of multiple types of dependent components. In particular, the survival signature based generalized mixture representation is obtained for the survival function of a coherent system and it is used to evaluate the mean residual life function. Furthermore, two mean residual life functions under different conditional events on components’ lifetimes are also defined and studied.