基于马尔柯夫过程的武器系统目标分配问题决策分析

将防空作战中武器系统目标分配决策作为一个在动态随机系统中实现最优化的问题,并用马尔柯夫过程理论进行建模分析,提出新的算法并运用Matlab编程;通过对实行不同策略时武器系统长期平均效能的分析比较,指出在目标分配问题上仅靠原有的静态线性规划决策方法是不够的,还必须考虑动态随机对抗过程本身的特性.     

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     

任务分配方式优化问题研究

从军事指挥与管理工作的实际需求出发,利用概率论和军事运筹学理论,描述了统一、自主、混合等任务分配方式的概念、特点及其相互关系,论述了任务分配方式定量分析的基本方法、主要依据和基本指标,建立了完成任务效果的评估模型,在对多种任务分配方式进行定量比较的基础上,揭示了任务分配过程中具有普遍意义的、潜在的实用规则。     

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。     

判决元理论及其在武器分配中的应用

介绍了判决元理论的基本内容〔１〕,并将此理论用于解火控领域的武器分配问题（ＷｅａｐｏｎＡｓｓｉｇｎｍｅｎｔＰｒｏｂｌｅｍ,简称ＷＡＰ）,从而提出一种新的分配算法。通过２２个战例的仿真,结果表明,本算法收敛速度快,而且能收敛于理想的稳定状态。因此,在大规模的海战系统和高性能防空系统中,这种算法有着十分广阔的应用前景。     

可招回秘书问题

可招回秘书问题已由Yang,Petrucceol,Choe及Bal研究过。本文将这个问题纳入Snell框架,用相对最好者的位置函数Wn代替通常的相对名次,我们得到了各种招回概率下的最优停止规则,这些结果推广了文[7]—[9]。     

压入法中的接触问题

针对表面工程中测量膜基材料性能或结合强度的压入法,分析了其实验过程中所涉及的重要而又困难的接触问题。在引入适当的假设后,文中首次对二维、三维问题等一般情况,分别给出了控制接触的边界条件方程,并进一步使用半解析的数值方法——线法,针对二维情况使用,球形压头和楔形压头分别进行了数值模拟,并将计算结果和不考虑接触情况下的结果进行了比较结果表明:剪应力差别巨大,这说明接触问题的考虑对于正确地处理实际问题是非常必要的。