兵力展开问题研究

如何将基地的兵力以最短时间展开到多个阵地中,是运输问题中的一种。为解决此问题对著名的兵力展开问题进行了研究。建立了兵力展开问题的数学模型,此模型是一个混合整数规划模型。提出了一种求解方法,该方法可解决类似的混合整数规划问题。最后给出了一个实例。     

Integrated capacity,demand, and production planning with subcontracting and overtime options

Models for integrated production and demand planning decisions can serve to improve a producer's ability to effectively match demand requirements with production capabilities. In contexts with price‐sensitive demands, economies of scale in production, and multiple capacity options, such integrated planning problems can quickly become complex. To address these complexities, this paper provides profit‐maximizing production planning models for determining optimal demand and internal production capacity levels under price‐sensitive deterministic demands, with subcontracting and overtime options. The models determine a producer's optimal price, production, inventory, subcontracting, overtime, and internal capacity levels, while accounting for production economies of scale and capacity costs through concave cost functions. We use polyhedral properties and dynamic programming techniques to provide polynomial‐time solution approaches for obtaining an optimal solution for this class of problems when the internal capacity level is time‐invariant. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

舰船静置爆炸气泡时总纵强度计算方法研究

新型"大气泡能"概念武器在水下爆炸能产生大气泡,对船体总纵强度造成很大影响,有可能使舰体发生纵向折断或倾覆。为研究这种作用,建立了舰船静置爆炸气泡时总纵弯曲强度的理论计算方法。采用静置爆炸气泡的假设,将气泡产生的浮力损失和压力差转化为等效载荷,计算气泡作用后船体的总纵弯矩和剪力并进行强度校核。以某舰艇为例进行计算,结果表明,爆炸气泡作用下船体的剪力和弯矩比静浮状态增大很多,船体发生纵向折断破坏的危险性也随之增大。     

极值指数之推广矩估计量的渐近正态性

首先将推广矩估计量代换为一种新的估计量,然后研究由该估计量引起的一种与尾经验过程有关的函数的弱收敛问题,最后得到与推广矩估计量有关的一随机过程的弱收敛函数,同时也就得到了推广矩估计量的渐近分布,因而证明了推广估计量的渐近正态性.     

非高斯噪声下信号盲检测算法*

针对实际甚低频和超低频接收机不仅受非高斯噪声的影响,同时受到接收机内部和外部环境中高斯噪声影响的问题,对噪声采用高斯尺度混合分布和高斯分布的混合模型建模,根据混合模型的性质,设计了一种基于马尔可夫链蒙特卡罗方法的信号盲检测算法。盲检测算法在贝叶斯层次模型下,采用Gibbs抽样和M-H抽样更新参数,同步检测信道衰落系数、噪声模型参数和信号。算法迭代效率快、精度高。通过与最优检测性能比较,盲检测算法性能优异,对甚低频和超低频信号接收具有重要的现实意义。     

非对称Colonel Blotto博弈模型下的多信道功率分配抗干扰

针对智能干扰条件下传输速率固定的通信系统多信道功率分配问题,建立了非对称Colonel Blotto博弈模型。在完全信息条件下,推导出了各种功率预算约束下通信方和干扰方的等效单信道最优功率分配策略,进而证明了通信方和干扰方存在唯一混合纳什均衡策略,并求得了纳什均衡收益。基于等效单信道最优功率分布,提出了一种多重扫描直接列元素交换算法,可以快速构建多信道混合功率分配矩阵,且相比于线性规划方法,可适应更多的信道数和更广的功率分布范围。通过数值仿真,验证了所提多信道混合功率分配矩阵构造算法的有效性及多信道功率分配策略的最优性。     

基于矩特征的ISAR干扰效果评估方法

由于逆合成孔径雷达(ISAR)是一种新体制雷达,一些用于评估常规体制雷达干扰效果的方法和手段对于ISAR来说并不适用。综合考虑雷达干扰的原理和图像处理的理论,从ISAR目标识别的角度出发,提出了一种新的对ISAR压制干扰效果的评估方法,即采用干扰前后ISAR目标识别特征中矩的变化来定量评估干扰效果,仿真结果表明了评估方法的正确性和有效性。     

电子侦察卫星联合侦察的混合调度算法

针对电子侦察卫星的使用约束,及不同任务的调度需求,建立了电子侦察卫星联合侦察的多目标混合整数规划模型.利用进化算法的全局搜索能力和变邻域搜索的局部优化能力,提出了一种多目标进化算法和变邻域搜索相结合两阶段混合调度算法MOEA VNS.针对问题多时间窗组合优化特点,设计了进化算子与邻域移动算子,在确保解多样性的同时使算法...     

A branch‐and‐bound‐based solution approach for dynamic rerouting of airborne platforms

This article is a sequel to a recent article that appeared in this journal, “An extensible modeling framework for dynamic reassignment and rerouting in cooperative airborne operations” [ 17 ], in which an integer programming formulation to the problem of rescheduling in‐flight assets due to changes in battlespace conditions was presented. The purpose of this article is to present an improved branch‐and‐bound procedure to solve the dynamic resource management problem in a timely fashion, as in‐flight assets must be quickly re‐tasked to respond to the changing environment. To facilitate the rapid generation of attractive updated mission plans, this procedure uses a technique for reducing the solution space, supports branching on multiple decision variables simultaneously, incorporates additional valid cuts to strengthen the minimal network constraints of the original mathematical model, and includes improved objective function bounds. An extensive numerical analysis indicates that the proposed approach significantly outperforms traditional branch‐and‐bound methodologies and is capable of providing improved feasible solutions in a limited time. Although inspired by the dynamic resource management problem in particular, this approach promises to be an effective tool for solving other general types of vehicle routing problems. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

基于地形差分矩的 TERCOM 地图性能估计

提出了一种非平稳地形中TERCOM地图匹配性能的估计方法。首先利用地形差分过程研究相关匹配算法度量值的统计特性 ,获得度量值的均值和方差关于地形差分矩的解析表达。然后讨论度量值统计特性与局部匹配搜索截获概率的关系 ,建议用地形差分矩和局部搜索截获概率作为TERCOM地图匹配性能的估计。通过对实际地形的试验 ,说明基于地形差分矩的匹配性能估计方法是有效的。