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     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

关于Chidume结果的推广

在一致光滑的Banach空间,证明了满足不等式‖Tx≤C ‖x‖的一类非线性强增生算子的Mann迭代序列强收敛于Tx=f的唯一解。     

论法治进程中的正当程序

法治的实现有赖于法治要素的具备,而正当程序有助于法治要素的满足。法治社会应具有的正当程序理念是:正当程序是对人权的尊重和保护,是实现正义的重要途径,程序正义优先于实体正义。     

基于Markov链的分布式仿真系统最佳检查点间隔研究

基于HLA的分布式仿真系统作为一类特殊的分布式系统,其容错一般基于回卷恢复实现,在回卷恢复中检查点间隔的不同会对系统性能产生很大的影响。分析了分布式仿真容错与一般分布式系统容错的异同,根据不同仿真进程对仿真结果的重要程度对其进行了分类,定义并利用Markov链分析了采用回卷恢复时分布式仿真系统的可用度,得到了系统最大可用度对应的检查点间隔的求解等式,通过一组试验数据验证了该最佳检查点间隔求解等式的正确性。     

子母式穿甲弹子弹发射过程研究

对子母式穿甲弹子弹的发射过程进行详细的分析,得出了子弹长度与子弹飞离母弹速度的关系、子弹长度与火药燃烧率的关系、子弹长度与母弹弹头部发射孔内最大压力的关系以及子弹的长度与子弹发射所需时间的关系,为子母式穿甲弹设计提供了依据。     

CsLiB6O10晶体Ⅰ型光参量过程中角度调谐研究

根据三波耦合过程中的能量动量守恒,基于非线性晶体的相位匹配理论,利用CsLiB6O10(CLBO)晶体的Sellmeier方程,详细分析了Ⅰ型共线及非共线参变过程中CLBO晶体的角度调谐特性.这对于激光脉冲的激光参量过程的优化具有重要的意义.     

基于马尔可夫过程的活动目标侦察雷达搜索效率模型研究

根据活动目标侦察雷达的特点和发现目标的环节,用马尔可夫过程对侦察系统的雷达搜索效率进行分析,得出计算模型,给出应用实例.对提高雷达的作战效能有一定意义.     

分布式数据库系统的查询优化策略研究

在分析比较分布式数据库系统和集中式数据库系统查询优化目标不同特点的基础上,归纳出分布式数据库系统的查询优化目标,进而提出查询优化的策略,并在举例中重点讨论了操作执行顺序的不同对查询性能的影响。     

SPC技术在导弹厚膜混合电路生产中的应用

SPC(统计过程控制)作为一种先进的质量管理方法,在国外企业被广泛采用,目前国内也有众多企业开始推行.分析了实施SPC的重要性,根据SPC技术在推广应用中的主要工作内容,给出了导弹厚膜混合电路生产中SPC技术的应用方法,包括关键工序节点和工艺参数的确定、工艺参数数据的采集、控制图的使用、工序能力评价以及所采用的控制技术等实际应用方面的内容.