多元线性模型的广义逆诊断问题

在实际问题中,经常需要考虑多个因变量对多个自变量的相互依赖关系,但在运算过程中经常会碰到奇异矩阵不能求逆的问题.通过推导任意2矩阵的差的广义逆,解决了这一问题,继而得出多元线性模型的参数估计,最后推出数据删除模型异常点的判断依据.     

Reformulating linear programs with transportation constraints—With applications to workforce scheduling

We study linear programming models that contain transportation constraints in their formulation. Typically, these models have a multistage nature and the transportation constraints together with the associated flow variables are used to achieve consistency between consecutive stages. We describe how to reformulate these models by projecting out the flow variables. The reformulation can be more desirable since it has fewer variables and can be solved faster. We apply these ideas to reformulate two well‐known workforce staffing and scheduling problems: the shift scheduling problem and the tour scheduling problem. We also present computational results. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

基于统计能量分析法的船艇机舱舱室噪声仿真

以某一船艇机舱为例,从机舱发动机表面振动声辐射着手,建立了机舱的统计能量分析(SEA)模型,对船艇机舱的进行了仿真计算。结果表明,统计能量分析法与实际测量值吻合,SEA模型的计算值与舱内声压水平实测值误差在主要频带达到3dB以内。     

几种防锈液对T52钢在酸性介质中耐蚀性的影响

研究了几种防锈液对T52(10Ti热)钢在Ph=5.0酸性水溶液中耐蚀性能的影响.用线性极化和交流阻抗法对这些防锈液的耐蚀性能进行了综合评估,试验结果表明:亚硝酸钠类、含氨基和羧基的有机化合物类两种防锈液的耐蚀性能较好;并用动电位扫描法对上述防锈液的作用机理进行了初步探讨,试验表明:上述防锈液主要是抑制电极的阳极过程.     

Optimizing natural gas pipeline transmission with nonuniform elevation: A new initialization approach

In this paper, we develop an iterative piecewise linear approximation approach with a novel initialization method to solve natural gas pipeline transmission problems with the nonuniform network elevation. Previous approaches, such as energy minimization methods, cannot be applied to solve problems with the nonuniform network elevation because they exclude pressure range constraints, and thus provide solutions far from optimum. We propose a new initialization model that considers pressure range constraints and improves the optimality of the solutions and the computational efficiency. Furthermore, we extend the energy minimization methods and provide the necessary conditions under which the extended methods operate in networks with the nonuniform elevation. We test the performances of the methods with previously reported pipeline networks from the literature, with the open data set GasLib, and with our industrial collaborator. The initialization approach is shown to be more efficient than the method with fixed initial breakpoints. The newly proposed initialization approach generates solutions with a higher accuracy than the extended energy minimization methods, especially in large‐size networks. The proposed method has been applied to natural gas transmission planning by the China National Petroleum Corporation and has brought a direct profit increase of 330 million U.S. dollars in 2015‐2017.     

基于经典控制理论的制导系统校正方法研究

针对空空导弹抗目标大机动时,制导系统持续增加的快速性需求,利用反馈/前馈控制信号可提高瞬态和频率响应的经典控制思想,以及在制导算法中引入导弹的实际加速度补偿量以改善制导回路性能的方法,设计了制导系统校正算法.然后,通过线性化模型对制导系统校正算法的性能进行了数字仿真,仿真结果表明系统校正算法能够降低目标机动时所产生的脱...     

一种新的混沌雷达信号源的设计

基于考必兹(Colpitts)混沌振荡器,给出了一种新的混沌雷达信号源。这种混沌电路通过电容耦合两级改进型考必兹混沌电路实现。给出了基本改进型和两级耦合后的信号产生电路仿真结果,并对这种混沌雷达信号源和单级考必兹混沌电路的输出信号频谱进行了比较。     

面向脉冲压缩雷达的灵巧噪声干扰方法研究与仿真分析

针对脉冲压缩雷达,研究了基于卷积调制、乘积调制的灵巧噪声干扰仿真分析方法。该方法基于数字射频存储（DRFM）技术,将干扰机接收并存储的雷达发射信号与噪声信号进行卷积、乘积调制后转发出去,为干扰信号的产生提供了有效途径。仿真实验证明该方法能有效干扰脉冲压缩雷达,同时具有压制性干扰和欺骗性干扰的效果。     

Extending the MAD portfolio optimization model to incorporate downside risk aversion

A mathematical model of portfolio optimization is usually represented as a bicriteria optimization problem where a reasonable tradeoff between expected rate of return and risk is sought. In a classical Markowitz model, the risk is measured by a variance, thus resulting in a quadratic programming model. As an alternative, the MAD model was developed by Konno and Yamazaki, where risk is measured by (mean) absolute deviation instead of a variance. The MAD model is computationally attractive, since it is easily transformed into a linear programming problem. An extension to the MAD model proposed in this paper allows us to measure risk using downside deviations, with the ability to penalize larger downside deviations. Hence, it provides for better modeling of risk averse preferences. The resulting m‐MAD model generates efficient solutions with respect to second degree stochastic dominance, while at the same time preserving the simplicity and linearity of the original MAD model. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 185–200, 2001     

实测海浪水压场特性分析

海浪水压场是舰船水压场的主要背景干扰.为深入研究海浪水压场与舰船水压场的特征区别,在大量实测海浪水压场数据的基础上,对其时域及频域特性进行研究,并对海浪水压场的平稳性进行了检验,结果表明,海浪水压场能量主要集中在低频范围,且随着海况和水深的增加,最大能谱频率向低频方向移动,在较短的时间内,可将海浪水压场视为平稳随机过程.