防空监视网络传感器资源分配的最优化

针对防空监视网络的传感器管理问题,讨论了传感器资源分配的最优化方法。提出了把传感器资源分配问题映射为多代理系统分布约束最优化问题的解决策略,设计了基于约束代价下界搜索的异步分枝定界最优化算法,实现了传感器资源分配问题最优解的异步并行搜索,给出的仿真实例说明了传感器资源分配最优化方法的有效性。     

对抗仿真中防空导弹微分对策模型研究

针对防空导弹与目标的空间对抗,建立了防空导弹微分对策空间对抗模型,并推算得到了最优策略,运用自适应神经网络评判方法对模型进行求解,通过给定条件下的仿真证明了该算法的有效性,显示了该模型可应用于防空导弹与目标的空间对抗问题。     

Lateral capacity exchange and its impact on capacity investment decisions

We study the problem of capacity exchange between two firms in anticipation of the mismatch between demand and capacity, and its impact on firm's capacity investment decisions. For given capacity investment levels of the two firms, we demonstrate how capacity price may be determined and how much capacity should be exchanged when either manufacturer acts as a Stackelberg leader in the capacity exchange game. By benchmarking against the centralized system, we show that a side payment may be used to coordinate the capacity exchange decisions. We then study the firms' capacity investment decisions using a biform game framework in which capacity investment decisions are made individually and exchange decisions are made as in a centralized system. We demonstrate the existence and uniqueness of the Nash equilibrium capacity investment levels and study the impact of firms' share of the capacity exchange surplus on their capacity investment levels.© 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

函数生成器的优化设计

本文介绍了一种优化的多变量函数产生器的设计思想,详尽论述了多变量函数快速插值算法、消除冗余断点搜索的思想以及搜索次数为１的断点搜索策略。实用表明,该产生器高效可行,比一般的多变量函数产生器减少计算量一半左右,有效地缩短了仿真问题的求解时间。     

双机空战的仿真与分析

用矩阵博弈理论、计算机仿真的方法研究了空战过程,使双机的空中格斗阶段─目标的跟踪、射击、弹道计算及射击效果的评定连续化,并用ＦＯＲＴＲＡＮ─７７语言编程在计算机上进行了Ｆ＿Ａ、Ｆ＿Ｂ两种飞行的空战,仿真结果与实际情况基本一致。本程序具有通用性,可对不同种类的飞机及武器系统的性能作出定性和定量的分析和评估。     

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.     

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     

控制分配在平流层飞艇姿态控制中的应用

针对平流层飞艇一般采用多控制机构的特点,将广义逆控制分配方法应用到飞艇姿态控制系统中,并根据飞艇控制机构特性采用了加权伪逆控制分配算法。飞艇姿态控制仿真结果表明:设计的控制分配方法可以有效实现多控制机构的协调操纵,对姿态角控制效果良好,避免了单一操纵舵面过早进入饱和状态的情况;合理调整控制分配权值可减少能量损耗,增强实时性,便于工程实现。     

改进蚁群算法在P2P网络资源搜索中的应用

针对P2P网络搜索算法中冗余查询消息过多,资源搜索效率低的问题,提出了基于改进蚁群算法的P2P资源搜索算法,算法中在选择邻节点查询时,综合考虑到本地资源情况、邻节点资源情况、邻节点资源相似度等因素,尽量避开了资源搜索中的恶意节点,并改进了基本蚁群算法的状态转移规则,从而避免了查询消息的盲目发送。仿真实验表明,与传统资源搜索算法K-radom-walks和Flooding相比,该算法在搜索命中率和带宽利用率方面有明显提高。     

搜索路径给定时的搜索对策问题及其应用

搜索路径给定时的最优搜索方案问题,也可以理解为是关于搜索者和目标的二人对策问题,主要讨论了当搜索路径给定时的单个搜索者和单个目标的搜索对策问题。首先根据问题的特点,利用动态规划和迭代的方法,确定关于目标逃逸路径混合策略的最优分区,证明该分区是多面体凸集;针对目标不同逃逸路径的分区,求出搜索者的最大期望收益,再将问题转化为二人有限零和对策,计算出搜索者的支付矩阵,确定最优搜索策略。最后结合海军护航行动,对我舰载直升机搜索小型海盗船进行分析和计算,说明搜索路径给定时的最优搜索对策对于双方的资源分配和提高搜索效率具有一定的应用价值。