态势生成中一种非线性运动模型的建立

探讨了在信息融合仿真试验床的态势生成部分,建立飞行实体运动模型的方法;通过保留运动学方程,简化动力学方程的方法,给出了一种常见的机动飞行方式(俯冲爬升类运动)的运动模型的计算公式;并对这种运动模型的非线性和机动性进行了分析和讨论;通过仿真,比较了几种机动目标跟踪算法对该运动模型的跟踪效果,验证了该方法的有效性。     

机载雷达系统测距算法

给出了机载雷达系统独立判定接近距离及接近速度的多回路跟踪测量器的状态模型和观测模型,并对这些模型进行了论证分析。基于最优控制的相关理论,重点分析研究了跟踪测量器的最优调节算法,并分析给出了该算法的权重系数选定原则和方法,最后通过仿真算例,推证了算法的可行性。利用上述算法可为研究机载雷达系统跟踪高度机动的目标问题提供参考。     

A generalization of the weighted set covering problem

We study a generalization of the weighted set covering problem where every element needs to be covered multiple times. When no set contains more than two elements, we can solve the problem in polynomial time by solving a corresponding weighted perfect b‐matching problem. In general, we may use a polynomial‐time greedy heuristic similar to the one for the classical weighted set covering problem studied by D.S. Johnson [Approximation algorithms for combinatorial problems, J Comput Syst Sci 9 (1974), 256–278], L. Lovasz [On the ratio of optimal integral and fractional covers, Discrete Math 13 (1975), 383–390], and V. Chvatal [A greedy heuristic for the set‐covering problem, Math Oper Res 4(3) (1979), 233–235] to get an approximate solution for the problem. We find a worst‐case bound for the heuristic similar to that for the classical problem. In addition, we introduce a general type of probability distribution for the population of the problem instances and prove that the greedy heuristic is asymptotically optimal for instances drawn from such a distribution. We also conduct computational studies to compare solutions resulting from running the heuristic and from running the commercial integer programming solver CPLEX on problem instances drawn from a more specific type of distribution. The results clearly exemplify benefits of using the greedy heuristic when problem instances are large. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

Distribution network design: Selection and sizing of congested connections

This paper focuses on certain types of distribution networks in which commodity flows must go through connections that are subject to congestion. Connections serve as transshipment and/or switching points and are modeled as M/G/1 queues. The goal is to select connections, assign flows to the connections, and size their capacities, simultaneously. The capacities are controlled by both the mean and the variability of service time at each connection. We formulate this problem as a mixed integer nonlinear optimization problem for both the fixed and variable service rate cases. For the fixed service rate case, we prove that the objective function is convex and then develop an outer approximation algorithm. For the variable service rate case, both mean and second moment of service time are decision variables. We establish that the utilization rates at the homogeneous connections are identical for an optimal solution. Based on this key finding, we develop a Lagrangian relaxation algorithm. Numerical experiments are conducted to verify the quality of the solution techniques proposed. The essential contribution of this work is the explicit modeling of connection capacity (through the mean and the variability of service time) using a queueing framework. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

型号项目工期风险管理决策模型与自适应遗传算法

针对型号项目的过程特点,建立了型号项目工期风险的管理决策模型。模型考虑了型号项目中活动重叠、活动迭代、活动执行时间的不确定性和可更新资源总量等重要的工期风险影响因素。从模型的特点出发,给出了问题求解的基于自适应遗传算法的仿真优化方法。算例显示,该算法能较好地求解本文的工期风险管理决策问题。     

一种基于Euler Spiral的缺失边界修复算法

在总结分析相关工作的基础上,提出了一种基于Euler Spiral修复认知轮廓中缺失边界的算法。该算法首先通过活动轮廓模型进行认知轮廓的初始定位,将视觉的预测性插值问题转化为中间插值问题,然后结合取向估计和Euler Spiral修复缺失的轮廓边界,取代了活动轮廓模型的迭代优化过程。对典型认知轮廓图形和遥感图像的实验结果验证了算法的有效性。     

箱装弹药堆积数字化管理模型及软件实现

通过对箱装弹药储存管理特点的分析,提出了堆积管理数字化的构想,给出了典型的弹药堆垛结构算法模型,进行了弹药堆积管理软件的初步设计。     

考虑火药中钝感剂含量分布的内弹道计算

针对某新型弹药弹道性能检测的需要,利用气相色谱法对其发射药中钝感剂含量分布进行了测定,建立了考虑钝感剂含量分布的该新型火炮的内弹道模型。模型中钝感剂对弹道性能的影响是通过对火药燃速和火药力的影响来体现的。应用该模型对2个批次的弹药进行了内弹道计算,并对一定樟脑含量的火药内弹道性能进行了预测。计算结果表明,樟脑含量对最大膛压影响较大,但对初速的影响则不如膛压明显。     

复杂非线性隔冲减振系统计算分析

基于结构动力学理论,提出了一种用于分析计算复杂非线性隔冲减振系统的双模型两步计算法。该方法将冲击振动分成2个阶段:冲击作用阶段和自由振动阶段。冲击作用阶段,采用两自由度模型进行响应计算,该两自由度模型可有效地解决基础冲击输入问题;自由振动阶段,采用单自由度模型进行响应计算,设备在该阶段以冲击终了时刻的速度和位移为初始条件进行振动。文中还对一个典型的复杂非线性系统的冲击过程进行了数值计算.该方法亦可用于线性隔冲减振系统的计算分析.     

防空多传感器网络的拓扑优化模型

防空多传感器网络是防空网络化作战体系结构的重要组成部分。针对防空多传感器网络的网络结构模型,研究了已知网络中单元节点的位置和数量,如何最优确定网络中继器的位置、数量及其与单元节点的连接关系,即网络拓扑优化设计问题。最后给出了防空多传感器网络拓扑优化设计的数学模型及其求解方法。