Designing a screening experiment for highly reliable products

Within a reasonable life‐testing time, how to improve the reliability of highly reliable products is one of the great challenges to today's manufacturers. By using a resolution III experiment together with degradation test, Tseng, Hamada, and Chiao (1995) presented an interesting case study of improving the reliability of fluorescent lamps. However, in conducting such an experiment, they did not address the problem of how to choose the optimal settings of variables, such as sample size, inspection frequency, and termination time for each run, which are influential to the correct identification of significant factors and the experimental cost. Assuming that the product's degradation paths satisfy Wiener processes, this paper proposes a systematic approach to the aforementioned problem. First, an intuitively appealing identification rule is proposed. Next, under the constraints of a minimum probability of correct decision and a maximum probability of incorrect decision of the proposed identification rule, the optimum test plan (including the determinations of inspection frequency, sample size, and termination time for each run) can be obtained by minimizing the total experimental cost. An example is provided to illustrate the proposed method. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 514–526, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10024     

引入区域量化的相控阵天线维修优化模型

针对大型相控阵天线维修成本高、多部件维修时机难以确定、模型仿真计算困难等问题,提出一种引入区域量化的维修优化模型。建立天线阵列的区域量化模型,将天线阵列维修问题转化成一个由不同区域阵元组成的k/n系统维修优化问题。以使用可用度为约束条件,以单位时间维修费用最小为优化目标,建立引入区域量化的大型相控阵天线多部件视情维修决策优化模型,并通过算例仿真与分析进行了模型验证。结果表明:提出的维修优化模型真实有效,能够很好地解决分布不均匀的相控阵天线维修优化问题。     

一类随机差分方程的解序列的最优停止规则

设报酬序列{x_(?),(?),n≥0}满足随机差分方程x_(n+1)=x_n+a_n+b_nε_(n+1)(ε_1,ε_2,…为白噪声序列)。本文讨论了用有限情形{x_n,0≤n≤N}的Snell包逼近无限情形{x_n,n≥0)的Snell包的条件,得到了x_n=E(x_n|(?))((?)=σ{ε_0,ε_1,…,ε_n},ε_0=0)的Snell包r_n的分解形式和最优停时存在的条件。最后讨论了最优停止规则的迭代计算法,并得出了迭代过程在有限步停止的充分条件。     

坦克火控系统的控制主线及炮控系统

本文提出了控制主线的新概念和坦克火控系统是沿着控制主线而发展的论点.并由此发现,控制主线末端上的炮控系统是火控系统中最薄弱的控制环节,本文以现代控制理论为基础,对炮控系统进行了重新设计,使系统性能有显著改善.     

最小、最大广义最优停止规则的特征

设(X_n,F_n)_1~∞是适应的报酬序列,(γ_n)是相应的snell 包,(A_n)是(γ_n)的Doob-Meyer 分解中零初值的可料增过程。本文继J.Klass 的研究证明了σ_1=inf{K≥1:X_k≥γ_k}是最小半最优的且是最大严格正则的广义规则,而K_0=sup{n≥0:A_n=0}<∞是最大正则的广义规则,从而得出了广义最优规则唯一性的另一表述。     

直接力/气动力复合作用动能拦截弹姿态控制方法

针对直接力/气动力复合作用动能拦截弹的姿态控制问题,建立了拦截弹俯仰-偏航通道短周期运动模型;利用线性二次型最优跟踪控制理论结合姿控固体小火箭点火逻辑设计了复合控制系统,通过分析非线性容限得出了该系统对直接力偏差具有强鲁棒性的结论;姿控回路仿真表明系统具有快速响应特性及良好的跟踪性能,考虑侧喷干扰效应等实际条件的六自由度弹道仿真表明所设计的控制系统能够满足拦截末段直接碰撞要求。     

软件无失效测试数据的统计分析

软件可靠性估计是软件可靠性研究的重要问题之一,文中对分布式软件系统可靠性的评估方法进行了研究,给出了软件系统可靠度的最优置信下限.最后以某大型软件的评估为例,说明该方法的应用.     

An exact analysis of a joint production‐inventory problem in two‐echelon inventory systems

We consider a two‐echelon inventory system with a manufacturer operating from a warehouse supplying multiple distribution centers (DCs) that satisfy the demand originating from multiple sources. The manufacturer has a finite production capacity and production times are stochastic. Demand from each source follows an independent Poisson process. We assume that the transportation times between the warehouse and DCs may be positive which may require keeping inventory at both the warehouse and DCs. Inventory in both echelons is managed using the base‐stock policy. Each demand source can procure the product from one or more DCs, each incurring a different fulfilment cost. The objective is to determine the optimal base‐stock levels at the warehouse and DCs as well as the assignment of the demand sources to the DCs so that the sum of inventory holding, backlog, and transportation costs is minimized. We obtain a simple equation for finding the optimal base‐stock level at each DC and an upper bound for the optimal base‐stock level at the warehouse. We demonstrate several managerial insights including that the demand from each source is optimally fulfilled entirely from a single distribution center, and as the system's utilization approaches 1, the optimal base‐stock level increases in the transportation time at a rate equal to the demand rate arriving at the DC. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

On the optimal detection of an underwater intruder in a channel using unmanned underwater vehicles

Given a number of patrollers that are required to detect an intruder in a channel, the channel patrol problem consists of determining the periodic trajectories that the patrollers must trace out so as to maximized the probability of detection of the intruder. We formulate this problem as an optimal control problem. We assume that the patrollers' sensors are imperfect and that their motions are subject to turn‐rate constraints, and that the intruder travels straight down a channel with constant speed. Using discretization of time and space, we approximate the optimal control problem with a large‐scale nonlinear programming problem which we solve to obtain an approximately stationary solution and a corresponding optimized trajectory for each patroller. In numerical tests for one, two, and three underwater patrollers, an underwater intruder, different trajectory constraints, several intruder speeds and other specific parameter choices, we obtain new insight—not easily obtained using simply geometric calculations—into efficient patrol trajectory design under certain conditions for multiple patrollers in a narrow channel where interaction between the patrollers is unavoidable due to their limited turn rate.© 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

应变率和绝热软化对空腔膨胀影响的数值模拟

采用数值模拟的方法研究金属材料球形空腔膨胀的空腔面径向应力与膨胀速度关系.理想弹塑性模型和幂次硬化模型的模拟结果与理论解吻合得非常好,验证了该方法的有效性.在此基础上研究了应变率和绝热软化效应对空腔面径向力和膨胀速度的影响.结果表明,综合考虑应变率和热效应的侵深预测结果与试验值吻合得很好,只考虑应变率而不计热效应会高估...