Log‐concave and concave distributions in reliability

Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log‐concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric models of life distributions (including Weibull, Gamma, log‐normal, Pareto, and Gompertz distributions) are log‐concave, while the remaining life of maintained and old units tend to have a concave distribution. The classes of concave and log‐concave distributions do not feature monotone aging. Nevertheless, these two classes are shown to have several interesting and useful properties. We examine the closure of these classes under a number of reliability operations, and provide sharp reliability bounds for nonmaintained and maintained units having life distribution belonging to these classes. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 419–433, 1999     

一种具有抑风性能的综合火力/飞行控制系统

提出了飞机中性稳定的直接力控制模态。将这一模态应用于综合火力/飞行控制中的空-空机炮攻击,着重研究了中型稳定模态的抗垂风性能。此模态的应用实现了航迹基本不变的机身瞄准直接力控制,提高了抗垂风能力,明显地改善了姿态跟踪精度,延长了交火时间,并最终减小了脱靶量。     

自修复飞控系统故障检测与隔离软件系统

介绍了一个自修复飞行控制系统故障检测和隔离实时工程软件系统,该系统按照软件工程规范、采用等价空间法和残差向量的概率信息融合法研制和开发,不仅能对飞行控制系统的突变故障——作动器卡死故障和控制舵面损伤故障进行实时检测和隔离,而且具有良好的用户界面。仿真研究表明该软件系统具有良好的鲁棒性和实时性。     

A search game with a protector

A classic problem in Search Theory is one in which a searcher allocates resources to the points of the integer interval [1, n] in an attempt to find an object which has been hidden in them using a known probability function. In this paper we consider a modification of this problem in which there is a protector who can also allocate resources to the points; allocating these resources makes it more difficult for the searcher to find an object. We model the situation as a two‐person non‐zero‐sum game so that we can take into account the fact that using resources can be costly. It is shown that this game has a unique Nash equilibrium when the searcher's probability of finding an object located at point i is of the form (1 − exp (−λ_ix_i)) exp (−μ_iy_i) when the searcher and protector allocate resources x_i and y_i respectively to point i. An algorithm to find this Nash equilibrium is given. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47:85–96, 2000     

一体化试验技术在反坦克导弹全寿命周期中的应用研究

提出了一体化试验的设计方案和试验流程,并分析了一体化试验的技术关键：仿真可信性评估;半实物仿真;仿真试验数据与飞行试验数据的一体化处理。利用一体化试验技术对某型装甲步兵战车导弹射击试验中出现导弹逸出视场问题进行了研究。     

装备采办中一级密封招标的博弈均衡分析

针对装备采办中的一级密封招标问题,分析了招标过程中的博弈特点,给出了一维贝叶斯均衡的求解方法和解析表达式,论证了在军工企业的最优战略是选择博弈的贝叶斯均衡,军方的选择是增加竞标者的人数。然后,重点分析了招标过程中的多维博弈问题,给出了多维贝叶斯均衡的一般求解方法,并针对特定的事例进行了多维均衡分析。最后,在多维博弈的框架下对一维博弈和多维博弈的均衡结果进行比较分析,结果表明：在一级密封招标过程中,多维博弈均衡是军工企业的最优战略。     

Stability in a general oligopoly model

We analyze a general but parsimonious price competition model for an oligopoly in which each firm offers any number of products. The demand volumes are general piecewise affine functions of the full price vector, generated as the “regular” extension of a base set of affine functions. The model specifies a product assortment, along with their prices and demand volumes, in contrast to most commonly used demand models. We identify a fully best response operator which is monotonically increasing so that the market converges to a Nash equilibrium, when firms dynamically adjust their prices, as best responses to their competitors' prices, at least when starting in one of two price regions. Moreover, geometrically fast convergence to a common equilibrium can be guaranteed for an arbitrary starting point, under an additional condition for the price sensitivity matrix.     

多种服役环境下航空铝合金疲劳裂纹扩展行为

通过收集机场环境数据并依据环境谱编谱流程,编制出试验室环境下航空铝合金加速腐蚀试验谱,并依据该谱开展LD2CS铝合金预腐蚀疲劳试验。统计分析试验数据,利用影响平均值方法,筛选出三个重要腐蚀损伤表征量,即最大蚀坑深度、最大蚀坑宽度、点蚀率。通过归一化无量纲处理和加权平均方法,计算出腐蚀损伤综合指标α。对比不同损伤程度下预制裂纹疲劳扩展行为特点,定义腐蚀加速系数Ω(α)。利用加速腐蚀第18—20a的试验数据验证Ω(α)表达式的有效性,得到预测值相对误差均小于10%,这说明修正后的疲劳裂纹扩展公式适用于表示腐蚀损伤对长裂纹扩展的加速作用,为航空铝合金的损伤容限设计提供新的思路。     

基于通用扩张状态观测器的鲁棒飞行控制方法

针对参数不确定、外界干扰与测量噪声情况下飞行控制问题,提出一种基于通用扩张状态观测器的鲁棒飞行控制方法。基于状态相关的Riccati方程控制方法对飞行器俯仰通道非线性模型进行扩展线性化;引入基于通用扩张状态观测器的控制方法,设计干扰补偿增益,实现对外界干扰的估计与补偿;通过在线解算状态相关矩阵及代数黎卡提方程,得出状态反馈增益与干扰补偿增益,实现对飞行器期望攻角的跟踪控制。与已有方法对比表明,所提方法不仅对系统模型不确定性与外界干扰具有较强的鲁棒性,而且在较大测量噪声情况下,其依然能够保证良好的跟踪控制效果,具有较强的工程应用价值。     

基于事故树和贝叶斯的军民航飞行冲突风险研究

为充分了解当前军民航飞行冲突、危险接近事故征候的成因,并对其发生原因进行有重点的预防和对事件发生概率的精确预测,首先建立事故树模型,对其原因进行分析;总结导致其发生的基本事件,计算事故树模型的最小割集和各个基本事件的结构重要度;其次对军民航飞行冲突、危险接近事故征候的发生概率进行合理的取值,得出基本事件的概率重要度,指出基本事件发生概率对顶事件发生概率的影响;最后构建军民航飞行冲突、危险接近事故征候贝叶斯网络模型,计算中间事件的条件概率和顶事件发生概率,并与实际结果进行对比,验证方法可行性。