Skewness correction X̄ and R charts for skewed distributions

This paper proposes a skewness correction (SC) method for constructing the and R control charts for skewed process distributions. Their asymmetric control limits (about the central line) are based on the degree of skewness estimated from the subgroups, and no parameter assumptions are made on the form of process distribution. These charts are simply adjustments of the conventional Shewhart control charts. Moreover, the chart is almost the same as the Shewhart chart if the process distribution is known to be symmetrical. The new charts are compared with the Shewhart charts and weighted variance (WV) control charts. When the process distribution is in some neighborhood of Weibull, lognormal, Burr or binomial family, simulation shows that the SC control charts have Type I risk (i.e., probability of a false alarm) closer to 0.27% of the normal case. Even in the case where the process distribution is exponential with known mean, not only the control limits and Type I risk, but also the Type II risk of the SC charts are closer to those of the exact and R charts than those of the WV and Shewhart charts. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 555–573, 2003     

连续情形的窃贼问题

讨论了连续时间上的窃贼问题。Ｊｔ是［０,ｔ］上窃贼作案的次数,｛Ｊｔ｝ｔ≥０是Ｐｏｉｓ－ｓｏｎ过程;收获过程与风险过程都是独立同分布的时间序列。利用弱无穷小算子,我们找出了最优停时规则。     

预燃室内气氢气氧射流燃烧过程数值分析

建立了液体火箭发动机预燃室内气氢气氧射流燃烧过程的数学模型,包括燃烧过程控制守恒方程、湍流流动方程和湍流燃烧模型,以及求解控制方程所需的辅助关系式;给出了模拟射流燃烧过程的数值方法。对于给定的预燃室结构型式和尺寸,研究了喷嘴构型和氧的喷射方式对化学反应流场和燃烧性能的影响规律。结果表明,喷嘴构型和氧的喷射方式对流动过程和燃烧性能都有影响,且喷嘴结构的影响较为明显。     

Generalized orienteering problem with resource dependent rewards

We introduce a generalized orienteering problem (OP) where, as usual, a vehicle is routed from a prescribed start node, through a directed network, to a prescribed destination node, collecting rewards at each node visited, to maximize the total reward along the path. In our generalization, transit on arcs in the network and reward collection at nodes both consume a variable amount of the same limited resource. We exploit this resource trade‐off through a specialized branch‐and‐bound algorithm that relies on partial path relaxation problems that often yield tight bounds and lead to substantial pruning in the enumeration tree. We present the smuggler search problem (SSP) as an important real‐world application of our generalized OP. Numerical results show that our algorithm applied to the SSP outperforms standard mixed‐integer nonlinear programming solvers for moderate to large problem instances. We demonstrate model enhancements that allow practitioners to represent realistic search planning scenarios by accounting for multiple heterogeneous searchers and complex smuggler motion. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

基于磁强计和光纤陀螺的小卫星姿态确定非线性滤波算法

提出了一种小卫星姿态确定的非线性滤波算法,该算法利用三轴磁强计和光纤陀螺作为姿态敏感器。在非线性滤波器的设计中,从两个方面对平方根sigma点卡尔曼滤波方法进行改进。第一,把姿态四元数的矢量部分、光纤陀螺的漂移和噪声组合,得到滤波器的增广状态向量;第二,分别建立向量旋转模型、最优化模型和误差四元数乘法模型来确保非线性滤波过程中四元数的归一化约束。仿真分析结果表明,本文提出的非线性滤波算法能够有效地提高小卫星的定姿性能,与扩展卡尔曼滤波相比,具有较高的精度、稳定性和较快的收敛速度;与无迹卡尔曼滤波相比,收敛性相当,但是精度略优,稳定性和计算效率较高。     

降落伞充气过程中“瓶颈”效应

以大型伞或特大型伞为研究对象,采用任意拉格朗日-欧拉(ALE)流固耦合方法模拟某载人飞船主伞(环帆伞)在无限质量情况下的充气展开过程。计算获得了充气过程中,伞衣外形和流场之间的动态关系,数值模拟出非对称充气、伞顶甩打等不良充气现象,提出了充气过程存在"瓶颈"效应,通过大量的实物试验验证该效应的存在。通过结果分析发现"瓶颈"效应实质是由于伞衣面积大,伞衣结构复杂或开伞速度过大导致气团进入伞体受阻造成的,但其产生的具体必要条件尚有待进一步研究。结论对了解降落伞工作机理,防止开伞失效有重要意义。     

基于记忆有理函数的功率放大器行为模型

针对功率放大器的非线性特性及记忆效应,提出了一种基于记忆有理函数的功放行为模型。在传统记忆多项式模型和无记忆有理函数模型基础上,构建记忆有理函数模型,并利用共轭梯度法辨识模型系数,同时比较不同记忆深度和不同非线性阶数下的归一化均方误差,获取最佳记忆深度和非线性阶数。采用多载波的WCDMA信号和MRF6S21140H功放来验证模型的有效性,并与记忆多项式模型、无记忆有理函数模型进行了比较。结果表明,记忆有理函数模型在减少系数数目的同时具有更好的逼近精度。     

导航卫星上行注入任务调度模型及启发式算法

合理安排导航卫星与地面上注站星地链路构建与导航电文上注,对保证星上导航电文的准确性和精确性有着重要意义。对卫星导航系统上行注入过程进行了分析,构建了上行注入任务调度问题的多目标混合整数规划模型,设计了基于规则的启发式求解算法。基于北斗二代和美国的GPS卫星导航系统构建仿真场景,仿真结果验证了模型和算法的正确性、可行性;通过分析仿真结果,得到影响卫星导航系统上行注入任务完成的关键因素。     

层次分析法的水下航行器维修性指标分配方法

基于层次分析法的水下航行器维修性指标分配方法把层次分析法应用到水下航行器维修性指标分配方法中,即邀请专家对故障的检测和隔离方式、可达性、可更换性和测试的困难等级进行两两比较,得到评价矩阵,据此,可以得到分配结果.这种方法克服了按故障率和设计特性分配法在设计特性相差不大时存在的缺陷,把定性分析与定量分析相结合.在设计初期即明确设计目标,除了考虑到单元的故障率还兼顾了初期设计过程中的不确定性.将这种方法应用于某水下航行器的维修性分配,结果表明,该方法具有实用价值.     

基于非线性聚合的多类型指标综合评估方法

针对多类型指标综合评估问题,将实数型、区间数型和模糊数型指标相结合,构建评估指标体系.采用区间数特征向量法和信息熵权法确定指标权重,并针对3种不同类型的指标分别定义了评分方法.引入非线性聚合理论,建立了基于非线性聚合的多类型指标综合评估指标体系.最后,以某型军事指挥信息系统的指挥控制能力评估为例,进行了实例运算,验证了该模型与方法的合理性和有效性.