基于动态窗口的灰色加权填充算法及应用?

为解决复杂系统中单属性缺失数据填充困难问题,提出了基于动态窗口的灰色加权填充算法。该算法通过建立双向灰色预测模型,并采用模型精度评价系数加权填充缺失数据,有效增强了算法的准确性;提出基于灰色模型评价系数反馈的动态伸缩窗口概念,寻找产生最优模型的训练数据序列,使算法具有良好的鲁棒性和适应性。实验结果表明,该方法在RMSE和MA两项指标上均优于传统的双向灰插值、灰插值、多项式插值等方法。     

基于数据场的作战单元价值评估模型

作战单元价值是目标选择的重要依据。根据作战单元在作战体系中的效用和影响,提出作战单元的属性价值和级联价值及其量化方法,利用层次分析法和数据场理论,分别评估作战单元的属性价值和级联价值,建立作战单元价值评估模型,并进行仿真分析,验证该评估模型的有效性。     

The solution to an open problem for a caching game

In a caching game introduced by Alpern et al. (Alpern et al., Lecture notes in computer science (2010) 220–233) a Hider who can dig to a total fixed depth normalized to 1 buries a fixed number of objects among n discrete locations. A Searcher who can dig to a total depth of h searches the locations with the aim of finding all of the hidden objects. If he does so, he wins, otherwise the Hider wins. This zero‐sum game is complicated to analyze even for small values of its parameters, and for the case of 2 hidden objects has been completely solved only when the game is played in up to 3 locations. For some values of h the solution of the game with 2 objects hidden in 4 locations is known, but the solution in the remaining cases was an open question recently highlighted by Fokkink et al. (Fokkink et al., Search theory: A game theoretic perspective (2014) 85–104). Here we solve the remaining cases of the game with 2 objects hidden in 4 locations. We also give some more general results for the game, in particular using a geometrical argument to show that when there are 2 objects hidden in n locations and n→∞, the value of the game is asymptotically equal to h/n for h≥n/2. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 23–31, 2016     

Expansion planning for waste‐to‐energy systems using waste forecast prediction sets

We consider an expansion planning problem for Waste‐to‐Energy (WtE) systems facing uncertainty in future waste supplies. The WtE expansion plans are regarded as strategic, long term decisions, while the waste distribution and treatment are medium to short term operational decisions which can adapt to the actual waste collected. We propose a prediction set uncertainty model which integrates a set of waste generation forecasts and is constructed based on user‐specified levels of forecasting errors. Next, we use the prediction sets for WtE expansion scenario analysis. More specifically, for a given WtE expansion plan, the guaranteed net present value (NPV) is evaluated by computing an extreme value forecast trajectory of future waste generation from the prediction set that minimizes the maximum NPV of the WtE project. This problem is essentially a multiple stage min‐max dynamic optimization problem. By exploiting the structure of the WtE problem, we show this is equivalent to a simpler min‐max optimization problem, which can be further transformed into a single mixed‐integer linear program. Furthermore, we extend the model to optimize the guaranteed NPV by searching over the set of all feasible expansion scenarios, and show that this can be solved by an exact cutting plane approach. We also propose a heuristic based on a constant proportion distribution rule for the WtE expansion optimization model, which reduces the problem into a moderate size mixed‐integer program. Finally, our computational studies demonstrate that our proposed expansion model solutions are very stable and competitive in performance compared to scenario tree approaches. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 47–70, 2016     

基于综合集成赋权法的导弹攻击目标价值分析

合理选择打击目标是导弹攻击作战中的首要问题,分析了目标价值影响因素,改进了信息熵权法,采用目标偏好的主观赋权法和综合集成赋权法确定因素权重,并结合模糊综合评估的方法对目标价值进行分析排序,给出了算例实现,为解决导弹攻击作战过程的目标价值评估排序问题提供决策依据。     

基于指标体系的火力分配模型研究

火力分配是现代作战中的关键问题,如何有效地进行火力分配对高效发挥火力、提高作战效能、争取作战的主动权具有重大意义。根据评价指标筛选原则,建立了一个反映目标价值的多层次评价指标体系,提出了火力分配的GEM-AHP计算模型。实例研究表明,该模型对多指标决策的火力分配问题具有很好的适用性。     

捷联惯导大失准角误差模型在快速传递对准中的应用

针对快速传递对准中主子惯导相对姿态存在大角度的情况,推导了捷联惯导大失准角误差模型.该模型采用欧拉角表示姿态误差,并用欧拉运动方程准确描述其传播规律.鉴于该模型中的姿态观测方程是复杂的非线性函数,采用无需求导的UKF算法,并采用奇异值分解(SVD)解决方差阵的病态问题.仿真结果表明,该算法在小角度误差条件下滤波精度优于线性模型,并且适用于大角度误差条件.     

四元数长方矩阵的同时复对角化

利用四元数矩阵的奇异值分解(SVD),对两个四元数长矩阵给出了其同时复对角化的充要条件,进一步对一个四元数长矩阵集合,针对其同时复对角化问题,给出了一系列充分必要条件.     

模拟体系对抗价值链的网络同步模型

描述战斗毁伤"规模效应"的Lanchester模型默认作战体系内部是"完美的"。本文扬弃此假设,首次从作战体系内部"共识"涌现的视角提出了一个模拟体系对抗价值链的网络"同步效应"模型,研究了战场变化、个体/群体认知、自同步与对抗均衡等概念的网络拓扑和权值演化形式,并发现在对抗均衡条件下无标度网络具有"同步脆弱性"。     

弹性轨道磁悬浮控制系统模型降阶研究

在磁悬浮控制系统中,常常忽略轨道的弹性来设计控制算法。在这种控制算法作用下,当轨道刚度较小时,系统容易产生振动。为解决该问题,可以将轨道弹性加入悬浮模型,然后设计控制算法。考虑轨道弹性之后,悬浮系统的模型会比较复杂,控制算法难以在工程实现。为此,采用Hankel范数近似法对考虑轨道弹性后的模型进行降阶,并且在降阶模型的基础上设计控制算法,解决了轨道弹性引发的系统振动问题。并且,这种方法容易在工程中实现。文章最后利用仿真结果验证了降阶方法的可行性。