利用动态规划原理实现多冲量最优交会问题

多冲量最优交会问题是航天领域非常重要的一个研究方向,从运筹学角度将此问题转化为一个多阶段多维动态规划问题,并着重对多阶段二维动态规划进行分析研究。在给出状态方程及指标函数递推公式的基础上,得到了两冲量和三冲量交会问题最优解的求解算法,之后分别通过实例验证了算法的有效性。对于以地心角等参数为决策变量的更高维问题,讨论了利用进化算法等降维方法实现多维动态规划的思想。     

巡航导弹攻击路径组的优化与评估

为保证对敌方目标实施多次有效攻击,巡航导弹攻击路径选择的关键在于寻找一组优化路径而不是一条优化路径(如果存在),既满足性能指标要求,又满足作战应用要求.在作战区域内任意两个匹配区之间飞行航迹已知(专题讨论)的情况下,就巡航导弹攻击路径组的优化与评估问题进行了探讨,分析了导弹作战运用要求和性能指标要求,建立了攻击路径组的优化与评估模型,计算结果表明:所给出优化与评估模型是可行的,能够满足巡航导弹实际作战要求.     

防空兵群指挥所配置方案优化分析

防空兵群指挥所配置是兵力部署的重要内容,它从根本上决定了指挥所的指挥效能和野战生存能力。多年来,指挥所的配置多是根据防空兵战斗的相关战术原则,由作战参谋提出数个配置方案,然后由指挥员做出决策。这种仅凭主观决策的做法与现代防空作战的要求不相适应。结合模糊多指标评判方法与优化理论,从发挥指挥效能与提高生存能力两个方面出发,对防空群指挥所的配置进行了分析,并建立了配置方案优化的模型,从根本上改变了指挥所配置完全依赖主观判断的做法。最后应用模型分析了一个实例。     

应用虚拟样机技术优化设计卡钳

分析了传统设计方法的弊端,介绍虚拟样机技术这一全新的设计方法.以应用动力学仿真软件ADAMS建造卡钳虚拟样机优化设计的实例,说明虚拟样机技术可以缩短开发周期、降低成本,提高设计质量和可靠性.     

IIR数字滤波器联立优化CAD

文中介绍了多目标联立最佳逼近CAD方法,对各种设计方法的性能作了分析比较,提出了改善途径。程序在IBM-PC/XT微机上运行通过,文中给出了应用线性相位IIR数字滤波器线性规划逼近法设计的低通实例。     

Sequential and systematic sampling plans for the Markov‐dependent production process

Acceptance sampling plans are used to assess the quality of an ongoing production process, in addition to the lot acceptance. In this paper, we consider sampling inspection plans for monitoring the Markov‐dependent production process. We construct sequential plans that satisfy the usual probability requirements at acceptable quality level and rejectable quality level and, in addition, possess the minimum average sample number under semicurtailed inspection. As these plans result in large sample sizes, especially when the serial correlation is high, we suggest new plans called “systematic sampling plans.” The minimum average sample number systematic plans that satisfy the probability requirements are constructed. Our algorithm uses some simple recurrence relations to compute the required acceptance probabilities. The optimal systematic plans require much smaller sample sizes and acceptance numbers, compared to the sequential plans. However, they need larger production runs to make a decision. Tables for choosing appropriate sequential and systematic plans are provided. The problem of selecting the best systematic sampling plan is also addressed. The operating characteristic curves of some of the sequential and the systematic plans are compared, and are observed to be almost identical. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 451–467, 2001     

A guarantee rate optimization model for wastewater treatment system design under uncertainty

We consider a design problem for wastewater treatment systems that considers uncertainty in pollutant concentration levels at water sources. The goal is to optimize the selection of treatment technologies and pipeline connections, so that treated wastewater can achieve specified effluents discharge limits as well as possible. We propose a new two-stage model to optimize a set of guarantee levels, that is, the maximum concentration level of source pollutants for which treated wastewater can be compliant with discharge limits. In the first stage, treatment technologies and pipeline connections are selected. In the second stage, when pollutant concentration levels are revealed, wastewater distribution and mixing are determined. A key attractiveness of the proposed guarantee rate optimization model is that it can be simplified into a single-stage mixed-integer linear program. In our numerical experiments based on real-world pollutants data, the guarantee rate model demonstrates its advantages in terms of computational efficiency, scalability and solution quality, compared with the standard probability maximization model. Finally, the methodology proposed in this paper can also be applied to other two-stage problems under uncertainty with similar uncertainty characteristics.     

基于不完全测量数据的飞行器轨迹参数估计

提出基于稀疏优化的轨迹参数估计新方法,通过降低参数空间的维数改善模型的病态性。利用B样条函数实现轨迹参数的稀疏表示,根据轨迹参数与测量数据的关系建立估计轨迹参数的稀疏表示寻优模型,采用高斯牛顿法获得模型的解。寻优模型中待估参数的数量取决于样条节点数,利用样条函数的高阶导数在节点处的不连续性建立了选取样条节点的稀疏优化模型,采用凸优化方法求解该模型,实现样条节点数的最小化。仿真结果表明,稀疏优化方法能够大幅度提高不完全测量段落轨迹参数的估计精度。     

多重优化的分布式无线覆盖探测算法

为满足无线通信网络信号覆盖有效性的实时实地可重复探测的需求,提出一种基于传感器网络的分布式无线覆盖探测算法。通过随机部署于目标区域内的无线传感器节点对无线通信网接收信号强度进行感知和预处理;利用变异函数构造新的BP神经网络目标函数,通过改进粒子群算法优化其初始权值和阈值;利用训练好的网络模型对存在探测盲区的目标区域进行插值估计,并联合传感器节点采集到的数据生成无线通信网络等信号强度线。仿真结果表明,所提算法比其他经典算法具有更高的精度,可有效探测目标区域无线通信网络的信号覆盖情况。     

基于粒子群算法的宽带真延时平面阵列方向图综合

针对大阵元间距平面阵列方向图综合问题,提出基于粒子群算法的宽带真延时平面阵列方向图综合方法。该方法根据真延时条件下阵列方向图主瓣和栅瓣指向的特点,采用宽带真延时抑制阵列方向图的栅瓣;利用粒子群优化算法优化阵列结构,得到具有较高主副瓣比的平面阵列方向图。通过对8×8的矩形平面阵进行仿真,验证了所提方法的有效性,在此基础上,还仿真研究了该方法对栅瓣的抑制性能与信号带宽之间的关系。