A specially structured nonlinear integer resource allocation problem

We present an algorithm for solving a specially structured nonlinear integer resource allocation problem. This problem was motivated by a capacity planning study done at a large Health Maintenance Organization in Texas. Specifically, we focus on a class of nonlinear resource allocation problems that involve the minimization of a convex function over one general convex constraint, a set of block diagonal convex constraints, and bounds on the integer variables. The continuous variable problem is also considered. The continuous problem is solved by taking advantage of the structure of the Karush‐Kuhn‐Tucker (KKT) conditions. This method for solving the continuous problem is then incorporated in a branch and bound algorithm to solve the integer problem. Various reoptimization results, multiplier bounding results, and heuristics are used to improve the efficiency of the algorithms. We show how the algorithms can be extended to obtain a globally optimal solution to the nonconvex version of the problem. We further show that the methods can be applied to problems in production planning and financial optimization. Extensive computational testing of the algorithms is reported for a variety of applications on continuous problems with up to 1,000,000 variables and integer problems with up to 1000 variables. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 770–792, 2003.     

基于红外图像的小目标检测与跟踪方法

为了能在强杂波、低信噪比的情况下检测小目标,人们提出了许多针对小目标检测与跟踪的方法。介绍了基于红外图像的小目标检测和跟踪的各种方法和最新进展,重点讨论了灰度形态法、小波变换法、最优时空非线性滤波法用于小目标检测与跟踪的原理,并指出了今后的发展和研究方向。     

元胞法模拟非线性弹性层合材料中的应力波

元胞法 (MethodofCell)是在有效刚度理论的基础上发展起来的新方法 ,可以用来构造具有周期性结构单元的材料的本构 ,也可以用来模拟应力波在材料中的传播问题 ,尤其是具有分层结构的材料。本文中给出两种常见的初值条件 ,并利用该方法模拟了非线性弹性材料的动态响应 ,研究了波在该层合材料中的振荡现象     

基于采样卡尔曼滤波的水下被动目标跟踪

针对水下被动目标跟踪问题中,采用直角坐标系容易出现滤波发散,而修正极坐标系下过程模型强非线性的问题,研究了一种修正极坐标系下的采样卡尔曼滤波算法.采样卡尔曼滤波比传统的扩展卡尔曼滤波更好地逼近状态方程和测量方程的非线性特性,给出更精确的均值和协方差的估计,并且适用于过程噪声与状态估计非线性耦合的情况.在修正极坐标系下,采用3种滤波方法求解被动目标跟踪问题,仿真结果表明,采样卡尔曼滤波的滤波精度优于传统的扩展卡尔曼滤波方法和自适应扩展卡尔曼滤波方法.     

A supply chain design model with unreliable supply

Uncertainties abound within a supply chain and have big impacts on its performance. We propose an integrated model for a three‐tiered supply chain network with one supplier, one or more facilities and retailers. This model takes into consideration the unreliable aspects of a supply chain. The properties of the optimal solution to the model are analyzed to reveal the impacts of supply uncertainty on supply chain design decisions. We also propose a general solution algorithm for this model. Computational experience is presented and discussed. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

具连续分布滞量的非线性抛物型偏微分方程的振动准则

考虑一类具连续分布滞量的非线性抛物型偏微分方程的振动性,借助Green定理将多维振动问题转化为关于某一类具连续分布滞量的非线性微分不等式的一维问题,给出了该类方程在Robin,Dirichlet边值条件下所有解振动的若干充分判据。所得结论充分地表明,振动是由时滞量引起的。     

纯方位目标运动分析四维状态的最小二乘模型及分析*

建立了纯方位系统TMA四维状态的最小二乘模型,详细给出了非线性最小二乘算法的迭代公式,分析了非线性最小二乘模型、线性最小二乘模型可解的必要条件,以及非线性最小二乘模型与极大似然模型的等价性。     

固定翼无人机航迹跟踪抗风性研究

无人机作为一种新型军事装备,具有广泛的作战应用场景.无人机的航迹跟踪性能和抗干扰能力是其安全完成飞行任务的保障,随着现代战争作战环境日益复杂,无人机飞行将面临更大的挑战.针对目前固定翼无人机在飞行过程中受风扰影响严重的问题,设计了一种具有抗风性的航迹跟踪方法.利用非线性导引原理实现对航迹的跟踪,并通过引入反馈消除了风扰...     

关于强增生算子的有限族的强收敛定理

提出了Banach空间中非线性增生算子方程带误差的三重迭程式, 研究了多个非线性增生算子解与多个强伪压缩映象的公共不动点逼近问题, 获得 2个收敛定理。     

非线性评估中权重的敏感性分析

分析了非线性评估中权重的敏感性问题,给出了分析的思路和计算方法,并得出判断权重敏感的方法,定义了多维权重的敏感度,并由算例说明评价值的敏感性和权重的关系.