System reliability based on diffusion models for fatigue crack growth

Diffusion processes are commonly used to describe the dynamics of complex systems arising in a wide range of application fields. In this paper we propose, on the basis of diffusion processes, two models concerned with the stochastic behavior of fatigue cracks in a system. They are then used to get the distribution of the failure time, the first time the crack size of at least one of the cracks exceeds a given value. Several properties of our proposed models are presented, and the unknown parameters are estimated by the method of maximum likelihood. From these an estimate of failure time distribution is obtained. In this part, contrary to common practice, we do not assume availability of failure data. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

Bounding the optimal burn‐in time for a system with two types of failure

Burn‐in is a widely used method to improve the quality of products or systems after they have been produced. In this paper, we consider the problem of determining bounds to the optimal burn‐in time and optimal replacement policy maximizing the steady state availability of a repairable system. It is assumed that two types of system failures may occur: One is Type I failure (minor failure), which can be removed by a minimal repair, and the other is Type II failure (catastrophic failure), which can be removed only by a complete repair. Assuming that the underlying lifetime distribution of the system has a bathtub‐shaped failure rate function, upper and lower bounds for the optimal burn‐in time are provided. Furthermore, some other applications of optimal burn‐in are also considered. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

极化域—空域联合谱估计

首次提出极化域-空域联合谱的概念,拓广了电磁波特征参量的谱描述方法.结合具体的极化敏感阵列定义了极化域-空域联合谱,用MUSIC方法得到联合谱函数表达式.研究了联合谱的估计的重要性能指标估计精度和分辨力,估计精度用克拉美劳限CRB(cramer-Rao Bound)来具体度量,分辨力由极化域-空域模糊函数以及模糊图来描述.最后仿真结果验证了该方法的有效性和理论分析的正确性.     

离散系统的绝对稳定性

给出了离散系统绝对稳定性问题的充分条件:约束条件下的矩阵不等式的正定解;基于这一思路可以构造控制器来镇定一类非线性系统;最后还给出了设计实例以说明结果的有效性。     

康特洛维奇的数值方法在矩形薄板横向弯曲振动中的应用

本文提出的解决矩形薄板弯曲振动问题的康特洛维奇的数值方法,大大减少了所需要的计算机内存。通过算例表明它具有比较高的计算精度和计算速度,是一种有前途的计算方法。     

两个有关矩阵问题的回答

讨论了两个与矩阵有关的问题。对问题 1 ,给出了其阶数从 1到 5时的回答 ;对问题 2 ,给出了其彻底的否定回答。所获的结果许多情形下还可推到更广泛的情形。     

一种基于模糊可靠度确定雷达故障检测间隔期的方法

将雷达装备参数漂移的动态范围模糊化 ,并基于数理统计中参数估计的理论 ,建立了雷达装备的参数模糊可靠度预计模型。把该模型应用于确定雷达电参数的故障检测周期 ,并通过实例论证此方法的优越性和实用性。     

B介子的稀有非轻子衰变和CP破坏

在BS理论框架下,求解了ρ和K*的波函数,计算了B→ρ和B→K*跃迁的形状因子,进而计算出B介子衰变到2个轻介子稀有过程的分支比和CP破坏量.     

信任函数理论在仿真评估中的应用

将信任函数理论应用到了仿真结果评估问题中,给出了总体仿真结果的信任函数和信念区间的计算方法。对仿真结果的真实性评估具有一定意义。这种思想和算法可推广应用到其它各种不确定性推理决策问题中去。     

Workload distribution of discrete‐time parallel queues with two servers

We study discrete‐time, parallel queues with two identical servers. Customers arrive randomly at the system and join the queue with the shortest workload that is defined as the total service time required for the server to complete all the customers in the queue. The arrivals are assumed to follow a geometric distribution and the service times are assumed to have a general distribution. It is a no‐jockeying queue. The two‐dimensional state space is truncated into a banded array. The resulting modified queue is studied using the method of probability generating function (pgf) The workload distribution in steady state is obtained in form of pgf. A special case where the service time is a deterministic constant is further investigated. Numerical examples are illustrated. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 440–454, 2000