Analysis of a machine repair problem with an unreliable server and phase type repairs and services

In this paper we study a machine repair problem in which a single unreliable server maintains N identical machines. The breakdown times of the machines are assumed to follow an exponential distribution. The server is subject to failure and the failure times are exponentially distributed. The repair times of the machine and the service times of the repairman are assumed to be of phase type. Using matrix‐analytic methods, we perform steady state analysis of this model. The time spent by a failed machine in service and the total time in the repair facility are shown to be of phase type. Several performance measures are evaluated. An optimization problem to determine the number of machines to be assigned to the server that will maximize the expected total profit per unit time is discussed. An illustrative numerical example is presented. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 462–480, 2003     

序列近似优化方法及其在火箭外形快速设计中的应用

针对序列近似优化方法在代理模型构造与采样策略等方面的不足,基于采样点局部密度,引入与局部密度成反比的样本点影响体积概念,通过优化总影响体积确定径向基函数最优核宽度,满足序列近似优化过程不同规模、非均匀样本条件下的函数近似需要;建立潜在可行域最大距离加点准则,并与潜在最优加点准则结合平衡算法的探索能力与开发能力;建立三步收敛判定准则;构建改进序列近似优化的算法流程。对于Golinski减速器的优化设计问题,算法在目标函数调用42次后便搜索到全局最优解,体现了其良好的全局寻优能力与搜索效率。以"天航二号"火箭为例,建立其外形优化问题数学模型,所提优化方法在调用原始计算模型165次之后便搜索到全局最优解,大大提高了设计效率,同时飞行试验也表明设计结果满足要求。     

火箭-双燃烧室冲压组合循环发动机概念研究

临近空间高超声速飞行器近年来获得了广泛关注,本文提出一种以基于火箭发动机和双燃烧室冲压发动机的多模态火箭-双燃烧室冲压组合循环发动机作为飞行器的动力系统,并进行了性能分析研究。该飞行器在海拔10 km左右高度以0.8马赫的速度投放,在重力和发动机推力的联合作用下,能够在海拔5～8 km处加速到2马赫;然后加速爬升进入临近空间,发动机工作在引射亚燃或者双燃烧室亚燃模态下。可以根据实际选择高推重比、较低推进剂比冲效率的引射亚燃模态,或是较低推重比、高推进剂比冲效率的双燃烧室亚燃模态。最终飞行器加速到6马赫(26 km),进入双燃室超燃模态。针对空中发射模式和地面发射模式进行了轨道优化,仿真结果表明:在加速爬升到6马赫(26 km)的过程中,空中发射模式相比较地面发射模式可以节省37%的推进剂;空中发射模式存在一个负的最优初始飞行角度使得剩余质量与初始质量的比值达到最大。     

Two‐stage component test plans for testing the reliability of a series system

A system reliability is often evaluated by individual tests of components that constitute the system. These component test plans have advantages over complete system based tests in terms of time and cost. In this paper, we consider the series system with n components, where the lifetime of the i‐th component follows exponential distribution with parameter λ_i. Assuming test costs for the components are different, we develop an efficient algorithm to design a two‐stage component test plan that satisfies the usual probability requirements on the system reliability and in addition minimizes the maximum expected cost. For the case of prior information in the form of upper bounds on λ_i's, we use the genetic algorithm to solve the associated optimization problems which are otherwise difficult to solve using mathematical programming techniques. The two‐stage component test plans are cost effective compared to single‐stage plans developed by Rajgopal and Mazumdar. We demonstrate through several numerical examples that our approach has the potential to reduce the overall testing costs significantly. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 95–116, 2002; DOI 10.1002/nav.1051     

装备维修保障程度计算方法分析

分析了传统的维修保障程度计算方法的弊端，并针对我军装备保障力量的实际，采取多余舍去与能力加权相结合的方法，对传统计算方法进行了调整优化。改进后的计算方法符合实际，并对其它保障程度分析具有借鉴意义。     

飞行器航路规划算法分析

针对现代军用飞行器任务规划系统航路规划的特点,分析了飞行器航路规划的基本要求,阐述了目前国内外应用和研究的几种航路规划算法:A*搜索算法、遗传算法、粒子群算法、数学规划算法、电势理论法等,并对飞行器航路规划算法的发展趋势进行了展望.     

月球探测器月面软着陆制动轨道研究

本文讨论了月球探测器垂直接近月面情形下,制动方案选择和轨道优化问题。     

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。     

采用遗传算法的弹托迎风窝结构设计

针对一体化弹丸弹托易分离性和轻质化的设计要求，构建弹托迎风窝参数化外形模型，基于激波和膨胀波理论建立弹托气动力计算模型；以弹托分离加速度和弹托质量综合最优为目标函数，采用遗传算法对弹托迎风窝的外形参数进行优化设计，从而得到弹托迎风窝的优化外形。以中口径尾翼稳定脱壳穿甲弹的弹托设计为例，采用提出的优化设计模型对其迎风窝结构进行优化设计，并采用基于动网格技术的弹托分离仿真模型验证其最优性。仿真结果表明：所提优化模型能够得到最优的弹托迎风窝结构；针对现有的中口径尾翼稳定脱壳穿甲弹，可进一步对其弹托结构进行优化，以提高其分离快速性。     

基于启发式算法的弹药配套包装优化模型研究

弹药基本包和组合包的装载优化，是实施弹药配套包装所需解决的关键问题。提出了“分类布局策略”方法，用以解决配套包装布局难题。针对步兵部队体制编制区别，建立了两种具有普遍代表性的装载优化模型。首次提出了“余度”概念，并将其在“类装载启发式算法”中加以应用。试验数据检验证明了所提出的方法对弹药配套包装的实施具有现实指导意义，为其在部队推广应用奠定了理论基础。