基于粗糙DEA的通信干扰装备配置方案优选问题

研究不确定条件下的通信干扰装备配置方案优选问题具有重要的军事意义.运用粗糙理论描述受到环境复杂性和人为主观经验的影响而不确定的决策要素,并充分利用DEA模型能快速评价多输入输出决策相对有效性的特点,建立基于粗糙DEA的通信干扰装备配置方案优选模型.最后通过实例计算,对配置方案的相对有效性进行了分析.     

基于凸优化理论的三维微分对策制导规律求解

针对三维微分对策制导律(DGL)求解问题,引入凸优化理论,将DGL求解归结到Hamilton系统的求解,设计了DGL求解算法,通过对代价函数梯度特征的凸分析,推导出对策系统鞍点存在的充要条件和求解方法,解决了以往通过对微分对策模型简化求解导致的模型不能客观反映作战过程的问题.     

面向多最优解组合优化问题的决策求解算法

针对具有固定物品总和、多最优解特征的组合优化问题,以固定总和实数子集问题和购买鸡翅问题为例,给出了这类多最优解组合优化问题的形式化表示。在分析枚举等经典算法基础上,提出了基于整数状态表示和实数状态表示的0-1决策递归搜索多最优解动态规划算法。针对该算法在最优解数量较大时,时间复杂度趋向O(mⁿ)的问题,提出了基于相同决策路径合并和基于0-x决策的两种改进算法。实验中两种改进算法的计算时间基本符合与O(nb+nm)的正比关系,表明对于这类多最优解组合优化问题具有良好的求解性能。     

伺服系统速度环控制器参数的自整定及优化

针对交流伺服系统速度环控制器参数自整定及优化的需求,为使工程技术人员避免繁琐的调参过程,提出了一种基于转动惯量辨识的速度环控制器参数自整定及优化方法。首先,采用频率法分析伺服系统速度环控制器参数的设计规则;随后,采用遗忘因子递推最小二乘法,对控制器参数设计所需的系统转动惯量进行辨识;最后,在此基础上利用设计的变步长迭代算法,完成控制器参数寻优过程。仿真结果表明,采用遗忘因子递推最小二乘法,能够有效辨识出电机轴端的转动惯量。提出算法进行整定及优化后,速度环控制器参数能使系统具有良好的动态响应和鲁棒性。     

Influence of shaped charge structure parameters on the formation of linear explosively formed projectiles

The research of LEFP (linear explosive forming projectile) is of great value to the development of new warhead due to its excellent performance. To further improve the damage ability of the shaped charge warhead, a special shell overhanging structure was designed to increase the charge based on the traditional spherical charge, in which case the crushing energy of LEFP could be guaranteed. LS-DYNA was used to simulate different charge structures obtained by changing the number of detonation points, the length of shell platform, the radius of curvature and the thickness of liner. The RSM (response surface model) between the molding parameters of LEFP and the structural parameters of charge was established. Based on RSM model, the structure of shaped charge was optimized by using multi-objective genetic algorithm. Meanwhile, the formation process of jet was analyzed by pulsed X-ray photography. The results show that the velocity, length-diameter ratio and specific kinetic energy of the LEFP were closely related to the structural parameters of the shaped charge. After the optimization of charge structure, the forming effect and penetration ability of LEPP had been significantly improved. The experimental data of jet velocity and length were consistent with the numerical results, which verifies the reliability of the numerical results.     

驱护舰编队防空火力分配决策模型研究

驱护舰编队防空火力分配的确定和优化是最大限度地发挥驱护舰编队的整体作战能力的关键。为了高效地发挥驱护舰编队火力优势,用运筹学理论建立了驱护舰编队防空火力分配决策问题的优化模型,分析了各种解决此模型的方法的优缺点,并尝试运用粒子群优化理论(PSO)求解该模型。实例计算分析表明,所提出的方法较好地解决了驱护舰防空火力分配决策问题,为舰艇编队指挥员进行防空火力分配决策提供了一种有效的参考处理方法。     

A stochastic assignment problem

There are n boxes with box i having a quota value Balls arrive sequentially, with each ball having a binary vector attached to it, with the interpretation being that if X_i = 1 then that ball is eligible to be put in box i. A ball's vector is revealed when it arrives and the ball can be put in any alive box for which it is eligible, where a box is said to be alive if it has not yet met its quota. Assuming that the components of a vector are independent, we are interested in the policy that minimizes, either stochastically or in expectation, the number of balls that need arrive until all boxes have met their quotas. © 2014 Wiley Periodicals, Inc. 62:23–31, 2015     

自适应人工蜂群优化的混沌系统参数估计

为了对混沌系统未知参数进行准确估计,改进了人工蜂群优化算法,提出自适应人工蜂群算法的混沌系统参数估计方法。将混沌系统参数估计问题转化为多维变量数值优化问题,利用人工蜂群算法对未知参数进行导向随机搜索。在搜索过程中,通过种群优化程度和解的质量自适应地调整更新步长和解的尝试次数。以Lorenz混沌系统为例进行的仿真实验表明,该方法在无噪声和噪声强度较大的情况下均能够获得较好的估计结果,表现出较强的鲁棒性。     

基于凸-改进遗传算法的圆阵列方向图联合优化

针对圆形阵列方向图具有较高旁瓣的问题,提出一种新的基于凸优化和改进遗传算法的优化方法。该方法首先采用遗传算法将阵元位置和阵元权值作为优化变量,以最小化波束方向图峰值旁瓣为目标函数进行联合优化,既增加了变量的自由度,又符合理论意义上的全局寻优;同时,为了避免算法的早熟收敛,对基本遗传算法进行了必要的改进。然后采用凸优化方法对阵元权值进行二次优化可进一步降低旁瓣电平,与传统方法相比能够明显提高优化效果的稳定性。仿真数据证实了该方法的有效性和正确性。     

基于保障时间窗的油料调拨运输模型

通过引入保障时间窗,同时考虑油料保障的时间约束和运力约束,建立了基于保障开始时间最早,并尽可能满足保障需求量的调度模型。针对问题的多目标性,基于理想点法将初始模型转化为单目标优化模型。采用粒子群算法对模型进行求解,并设计了算法编码和求解步骤。通过算例验证了模型和算法的可行性及有效性。