Exact analysis of (R,s, S) inventory control systems with lost sales and zero lead time

We study an (R, s, S) inventory control policy with stochastic demand, lost sales, zero lead‐time and a target service level to be satisfied. The system is modeled as a discrete time Markov chain for which we present a novel approach to derive exact closed‐form solutions for the limiting distribution of the on‐hand inventory level at the end of a review period, given the reorder level (s) and order‐up‐to level (S). We then establish a relationship between the limiting distributions for adjacent values of the reorder point that is used in an efficient recursive algorithm to determine the optimal parameter values of the (R, s, S) replenishment policy. The algorithm is easy to implement and entails less effort than solving the steady‐state equations for the corresponding Markov model. Point‐of‐use hospital inventory systems share the essential characteristics of the inventory system we model, and a case study using real data from such a system shows that with our approach, optimal policies with significant savings in inventory management effort are easily obtained for a large family of items.     

燃气发生器低频非稳态燃烧统计分析

针对冲压发动机地面试验需求,设计燃气发生器,通过试验统计研究其燃烧稳定性特征。结果表明:该燃气发生器发生低频非稳态燃烧的概率为32.7%,存在两种振荡形态。一种存在振荡主频,即低频不稳定燃烧;另一种没有主频,燃烧形态为粗暴燃烧。粗暴燃烧发生概率高且与余氧系数存在较强的相关性,低频不稳定燃烧发生概率低。两种形态的振荡能量分布位置不同。     

光电跟瞄平台稳定控制器设计

以考虑光电跟瞄平台三轴环架间的耦合所建立的数学模型为基础,对光电跟瞄平台的稳定回路分别设计了基于线性矩阵不等式(LMI)的状态反馈H∞控制器和多输入系统极点配置控制器;分别建立基于所设计两种控制器的跟瞄平台稳定控制系统,并对其控制效果进行对比研究,结果表明,二者皆能实现对光电跟瞄平台的稳定控制,都具有一定的鲁棒性能。其中H∞控制器的设计更简单,超调更小且达到稳定的时间短,更适合于光电跟瞄平台的稳定控制。     

多约束下的高超声速飞行器三维非线性自适应末制导律

面向多约束下高超声速飞行器末制导过程中的通道耦合、参数扰动、模型失配等突出问题,设计一种适于高超声速飞行器的三维非线性自适应末制导律。为了模型描述的完整性和简洁性,引入视线旋量和旋量速度的概念,并基于此建立三维制导参考模型和实际系统的表达式;为了保证制导律的鲁棒性和自适应性,基于自适应控制理论,设计一种三维非线性自适应制导律;通过数学推导证明了该制导律的稳定性。该制导律能够从理论上克服高超声速飞行器末制导面临的通道耦合、参数扰动、模型失配等突出问题,满足多约束制导要求。仿真结果验证了所设计制导律的有效性。     

含轴间距误差的消隙齿轮刚柔耦合动力学仿真

轴间距误差对消隙齿轮精度和性能有重要影响,但其机理和规律并不清楚。基于接触碰撞力约束关系建立齿轮接触动力学模型,进一步利用ADAMS/Flex建立单级消隙齿轮传动系统的刚柔耦合模型,通过刚柔耦合动力学仿真研究消隙齿轮传动在不同轴间距制造误差条件下的振动及频率特性。研究发现:随着轴间距的减小,扭簧的平均力矩增大,齿轮齿面间的啮合力矩以及摩擦力矩也将增大,从而阻碍扭矩的正常传递,并导致固定齿轮转速幅值降低;随着轴间距的增大,固定齿轮主谐振频率整体上降低,而且在轴间距稍大于标准中心距时降低很快。这一发现可指导消隙齿轮传动的设计和装配。     

金属泡沫断裂韧性的试验研究

金属泡沫在其实际应用中,断裂性能和断裂韧性对于承载的多孔金属泡沫有着重要的意义。基于美国试验材料学会相关标准,采用三点弯曲试样测定了铝泡沫的I型断裂韧性。研究表明,金属泡沫的断裂为脆性断裂,在裂纹尖端附近,孔壁最薄弱的区域最容易发生变形;随着进一步加载,一些孔壁发生断裂,微裂纹在断裂尖端附近出现。随着载荷的增加,主裂纹在缺口根部形成或由微裂纹合并而成,并开始在多孔结构内传播。裂纹沿着结构最薄弱处传播,并产生次生裂纹和裂纹桥。裂纹总的扩展方式还是I型断裂。根据试验P-V曲线特点,取最大载荷点对应的力与位移求解出铝泡沫的裂纹尖端临界张开位移的平均值为0.051 mm。     

A bivariate optimal replacement policy for a cold standby repairable system with repair priority

In this article, an optimal replacement policy for a cold standby repairable system consisting of two dissimilar components with repair priority is studied. Assume that both Components 1 and 2, after repair, are not as good as new, and the main component (Component 1) has repair priority. Both the sequence of working times and that of the components'repair times are generated by geometric processes. We consider a bivariate replacement policy (T,N) in which the system is replaced when either cumulative working time of Component 1 reaches T, or the number of failures of Component 1 reaches N, whichever occurs first. The problem is to determine the optimal replacement policy (T,N)* such that the long run average loss per unit time (or simply the average loss rate) of the system is minimized. An explicit expression of this rate is derived, and then optimal policy (T,N)* can be numerically determined through a two‐dimensional‐search procedure. A numerical example is given to illustrate the model's applicability and procedure, and to illustrate some properties of the optimal solution. We also show that if replacements are made solely on the basis of the number of failures N, or solely on the basis of the cumulative working time T, the former class of policies performs better than the latter, albeit only under some mild conditions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

关于半鞅的可料表示性

利用鞅空间H1的泛函表示定理、泛函分析中的Hahn-Banach定理、半鞅向量随机积分的Girsanov定理,获得了半鞅可料表示性的特征。由于使用的是半鞅的向量随机积分,它推广了经典的结论。     

俄罗斯军事人才生成机制对武警视级指挥院校任职教育的启示

俄罗斯军事教育注重培养学员的国家意识,强调教员必须具有很强的综合能力,教学方法灵活、实用,考试方法突出能力素质的考核。俄罗斯军事人才培养形成了注重实战演练、坚持岗位轮换、引进竞争机制、重视鉴定考核的良性机制,保证了人才培养的质量。武警部队初级指挥院校提高任职教育质量应借鉴俄罗斯军事人才培养方法,在培训内容、教员选拔、授课方法、考试形式等方面进行改革。     

灰色预测模型在非致命武器经济寿命预测中的应用

针对目前非致命武器经济寿命方面的研究相当缺乏的现状,结合非致命武器的自身特点,在全面分析装备全寿命周期费用的基础上,引入灰色理论,运用GM（1,1）模型对非致命武器的经济寿命周期费用进行估算和预测。通过分析,灰色预测模型具有较高的建模精度,预测方法和结果对非致命武器的经济寿命预测具有很强的实用性。