CCRP(炸弹)对地攻击原理算法研究

本文在引入“计算航向”这一概念的基础上重新列出了CCRP对地攻击原理的计算公式。并由此计算出描述投放点相对本机位置的⊿K 与⊿t 两个量。⊿K 表示在当前的攻击条件下“计算航向”与实际航向之差,“计算航向”表示本机若在当前沿该航向按给定条件飞行,则经一定时间⊿t 后即可到达正确的投弹点。     

用非线性规划求解有限推力最优交会

利用非线性规划方法研究了航天器的有限推力最优交会问题。这种方法利用了近年来发展起来的直接优化技术,用分段多项式来表示整个轨道的状态和控制向量,将最优控制问题转化为非线性规划问题。在应用这种方法时,先将整个轨道分为若干推力段和无推力段,然后利用配置方法产生推力段的约束段,利用状态转移矩阵来产生无推力段的约束。最后,对共面轨道情况下的交会进行了数值仿真,验证了方法的有效性和鲁棒性。     

A model of supply-chain decisions for resource sharing with an application to ventilator allocation to combat COVID-19

We present a stochastic optimization model for allocating and sharing a critical resource in the case of a pandemic. The demand for different entities peaks at different times, and an initial inventory for a central agency are to be allocated. The entities (states) may share the critical resource with a different state under a risk-averse condition. The model is applied to study the allocation of ventilator inventory in the COVID-19 pandemic by FEMA to different U.S. states. Findings suggest that if less than 60% of the ventilator inventory is available for non-COVID-19 patients, FEMA's stockpile of 20 000 ventilators (as of March 23, 2020) would be nearly adequate to meet the projected needs in slightly above average demand scenarios. However, when more than 75% of the available ventilator inventory must be reserved for non-COVID-19 patients, various degrees of shortfall are expected. In a severe case, where the demand is concentrated in the top-most quartile of the forecast confidence interval and states are not willing to share their stockpile of ventilators, the total shortfall over the planning horizon (until May 31, 2020) is about 232 000 ventilator days, with a peak shortfall of 17 200 ventilators on April 19, 2020. Results are also reported for a worst-case where the demand is at the upper limit of the 95% confidence interval. An important finding of this study is that a central agency (FEMA) can act as a coordinator for sharing critical resources that are in short supply over time to add efficiency in the system. Moreover, through properly managing risk-aversion of different entities (states) additional efficiency can be gained. An additional implication is that ramping up production early in the planning cycle allows to reduce shortfall significantly. An optimal timing of this production ramp-up consideration can be based on a cost-benefit analysis.     

具有吞吐量和时延约束的软件无线电波形部署决策算法

针对当前具有吞吐量和时延约束的软件无线电波形部署决策算法在内存开销方面考虑的不足,提出一个更为通用的波形部署决策系统模型,将波形的处理开销、内存开销和通信带宽开销都纳入到波形部署决策过程中,并设计了一种基于动态规划的波形部署决策算法以最小化波形对平台各种计算资源的占用总和。仿真结果表明,内存对波形部署决策具有重要影响,与未考虑内存开销的解决方案相比,平台支持的平均最大波形数目和平均处理资源利用率均下降40%左右。     

A decomposition heuristic for the twin robots scheduling problem

This article provides an efficient heuristic based on decomposition for the twin robots scheduling problem (TRSP). TRSP concerns two moving robots executing storage and retrieval requests in parallel along a shared pathway. The depots are located at both ends of the line and a dedicated robot is assigned to each of them. While moving goods between their respective depots and some storage locations on the line, noncrossing constraints among robots need to be considered. Our heuristic uses a dynamic programming framework to determine the schedule of one robot while keeping the other one's fixed. It finds near‐optimal solutions even for large problem instances with hundreds of jobs in a short time span. © 2014 Wiley Periodicals, Inc. 62:16–22, 2015     

Modeling and solution for the ship stowage planning problem of coils in the steel industry

We consider a ship stowage planning problem where steel coils with known destination ports are to be loaded onto a ship. The coils are to be stowed on the ship in rows. Due to their heavy weight and cylindrical shape, coils can be stowed in at most two levels. Different from stowage problems in previous studies, in this problem there are no fixed positions on the ship for the coils due to their different sizes. At a destination port, if a coil to be unloaded is not at a top position, those blocking it need to be shuffled. In addition, the stability of ship has to be maintained after unloading at each destination port. The objective for the stowage planning problem is to minimize a combination of ship instability throughout the entire voyage, the shuffles needed for unloading at the destination ports, and the dispersion of coils to be unloaded at the same destination port. We formulate the problem as a novel mixed integer linear programming model. Several valid inequalities are derived to help reducing solution time. A tabu search (TS) algorithm is developed for the problem with the initial solution generated using a construction heuristic. To evaluate the proposed TS algorithm, numerical experiments are carried out on problem instances of three different scales by comparing it with a model‐based decomposition heuristic, the classic TS algorithm, the particle swarm optimization algorithm, and the manual method used in practice. The results show that for small problems, the proposed algorithm can generate optimal solutions. For medium and large practical problems, the proposed algorithm outperforms other methods. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 564–581, 2015     

地球模型偏差对远程弹箭弹道仿真的影响及修正

针对地球模型精确度影响远程弹箭弹道仿真的问题,分析了地球模型偏差对弹道仿真精度的影响并加以修正。采用总的地球椭球系,在已有弹道模型的基础上,分析了垂线偏差的产生机理及其对定向定位参数的影响,并由此得出弹道几何偏移随定向偏差的变化规律,研究了引力加速度初值偏差对弹道的误差累积,并对由水准面不平行性造成的实际落点高差进行了理论推导。对比仿真算例表明,考虑地球模型偏差影响的仿真结果与不考虑的情况下差别较明显,在远程条件下对弹道仿真精度的影响不容忽视。     

飞航导弹故障飞行落点概率计算方法

针对飞航导弹故障飞行落点概率难以准确计算的问题,通过分析导弹的各个分系统的故障机理重新提出五种故障模式,依据逐系统串联的原理建立了故障模式的概率分配计算模型;在对发射、飞行和故障后坠落等阶段进行分析的基础上建立各故障模式的仿真模型;最后应用蒙特卡洛方法对某型导弹故障飞行落点的概率分布进行了仿真计算。     

随机布阵条件下同时数字多波束干扰优化设计方法

针对现有方法普遍存在的波束形成算法效率低、难以形成多频点多方向的同时多波束干扰、不适用于随机布阵条件下的波束形成等缺点,提出了一种基于二阶锥规划(SOCP,Second-Order Cone Programming)理论的同时数字多波束干扰形成方法。首先,给出了在随机布阵条件下干扰多波束优化设计问题的数学描述;其次,以范数准则为例,将随机布阵条件下干扰多波束设计问题的解析形式转化为相应的SOCP形式;再次,利用现有的原-对偶内点算法工具箱Se Du Mi或者CVX进行快速求解。最后,仿真结果表明该方法可以较好地解决随机布阵条件下的多频率多方向雷达目标同时多波束干扰优化设计问题。     

基于Virtools的洞库工程维护管理虚拟训练系统

为了解决洞库工程教学训练缺乏直观性和实践性的难题,利用Revit,Sketch Up和3D Max软件进行三维模型构建,以漫游中的基本图形变换和位置实时显示技术为例介绍了相关数学原理及Virtools编程实现过程,实现预定功能后发布了洞库工程维护管理虚拟训练系统。该虚拟训练系统具有功能演示、虚拟漫游、虚拟施工、维护管理虚拟训练和考核评估等功能,可以让学员身临其境地学习洞库工程维护管理的相关知识,有效地提高了教学效果。