基于势场启发蚁群算法的远程水中兵器航路规划

针对航行误差较大的远程水中兵器航路规划问题,采用栅格化方法建立海洋环境模型,为使兵器在航行过程中能有效规避障碍并导向目标,提出一种人工势场力为启发因子的改进蚁群算法,利用该方法搜索远程水中兵器从起始点至目标点的最佳路径,算法解决了经典蚁群算法容易陷入局部最优及收敛速度慢的问题。仿真结果表明该规划算法虽有少量的路径损失,但可以有效避免由于误差引起的航行安全问题,是一种有效的远程水中兵器航路规划方法。     

虚拟射击试验中的航迹融合方法

针对高炮武器系统虚拟射击试验中存在的航迹融合问题,研究了航迹在虚拟射击试验中的融合方法。分别通过虚实资源静态分析和动态分析,明确了试验中各试验要素内涵和虚实资源间信息交互的内容。由于虚实资源间交互的信息内容不同,易产生数据格式、信息理解等方面的不一致,且集中表现在数据处理上。因此,从空间一致性维护和时间一致性维护两个方面,给出了航迹在虚拟射击试验中的融合方法。     

基于改进快速扩展随机树的机械臂路径规划

针对机械臂路径规划问题,提出一种基于改进RRT算法的路径规划方法。改进RRT结合了目标偏置策略和贪婪生长策略的优点,在随机采样时,以一定概率使采样点偏置为目标节点,降低随机采样的盲目性,在目标节点方向上采用贪婪式扩展策略,增加随机树局部方向上的生长速度。RRT法规划路径结果并非最优,提出改进GPP法删除多余路径节点,优化机械臂运动路径。通过与Biased-RRT和Greedy-RRT数值仿真结果对比,证明了改进RRT在计算时间、迭代次数、扩展节点数上均优于以上方法。在机械臂两种典型工作环境中的仿真结果表明,使用该方法可以较好解决排爆机械臂避障路径规划问题。     

Clifford分析中K超正则函数的Riemann边值问题

Clifford分析中的函数理论被广泛研究,得到的许多结果推广了经典复分析中解析函数的理论。文中研究了Clifford分析中K超正则函数的Riemann边值问题,得到它的一种表示式和Cauchy积分公式等一些性质,利用转化法和积分方程及不动点原理证明了它的一类Riemann边值问题O解的存在唯一性。     

二次型极小化问题的迭代算法

在新的控制条件下,证明了二次型极小化问题的迭代算法的有效性,所得结果改进了徐洪坤关于二次型优化的最新结果。     

分物问题的分法数计算

r个物品分配到n个盒子中,在不同的条件下会有不同的分法数。本文讨论了不同条件下,分法数的计算方法。     

Capacitated warehouse location model with risk pooling

In this article, we introduce the capacitated warehouse location model with risk pooling (CLMRP), which captures the interdependence between capacity issues and the inventory management at the warehouses. The CLMRP models a logistics system in which a single plant ships one type of product to a set of retailers, each with an uncertain demand. Warehouses serve as the direct intermediary between the plant and the retailers for the shipment of the product and also retain safety stock to provide appropriate service levels to the retailers. The CLMRP minimizes the sum of the fixed facility location, transportation, and inventory carrying costs. The model simultaneously determines warehouse locations, shipment sizes from the plant to the warehouses, the working inventory, and safety stock levels at the warehouses and the assignment of retailers to the warehouses. The costs at each warehouse exhibit initially economies of scale and then an exponential increase due to the capacity limitations. We show that this problem can be formulated as a nonlinear integer program in which the objective function is neither concave nor convex. A Lagrangian relaxation solution algorithm is proposed. The Lagrangian subproblem is also a nonlinear integer program. An efficient algorithm is developed for the linear relaxation of this subproblem. The Lagrangian relaxation algorithm provides near‐optimal solutions with reasonable computational requirements for large problem instances. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Analysis of a machine repair problem with an unreliable server and phase type repairs and services

In this paper we study a machine repair problem in which a single unreliable server maintains N identical machines. The breakdown times of the machines are assumed to follow an exponential distribution. The server is subject to failure and the failure times are exponentially distributed. The repair times of the machine and the service times of the repairman are assumed to be of phase type. Using matrix‐analytic methods, we perform steady state analysis of this model. The time spent by a failed machine in service and the total time in the repair facility are shown to be of phase type. Several performance measures are evaluated. An optimization problem to determine the number of machines to be assigned to the server that will maximize the expected total profit per unit time is discussed. An illustrative numerical example is presented. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 462–480, 2003     

基于舰艇编队的反舰导弹航路规划区域划分

根据舰艇编队对海导弹攻击中航路规划指挥决策的需要,为避免各舰发射的导弹出现航路交叉现象,提出了单舰导弹航路规划功能区域的概念和编队导弹航路规划区域划分的思想,建立了编队导弹航路规划区域划分模型。分别研究了一般情况和复杂情况下的导弹航路规划区域划分方法,并且结合想定装备参数进行了编程实现和算例分析。为编队指挥员实施导弹航路规划决策提供辅助决策和科学依据。     

卫星数传调度模型研究

卫星数传调度问题是一个具有多时间窗口、多资源约束的优化问题。针对该问题,建立了卫星数传需求模型、任务模型和调度模型。在建模过程中,采用了框架模型形式,把问题中的主要约束封闭于每个数传任务中,这在降低调度模型复杂度的同时,也降低了调度算法设计难度。还提出了调度算法设计思想,并设计了一基于灵活度的调度算法。仿真表明,所建立的模型及算法对解决卫星数传调度问题是可行的。