上、下半连续性关系及其在经济上的应用

上、下半连续性在数学中的重要性不言而喻,在微观经济分析中也有着广泛应用,特别是静态优化问题。分别在单值映射、集值映射中探讨了上半连续性和下半连续性的关系。先证明了单值映射上、下半连续性等价的结论(定理1),并利用引理1对常见函数的上、下半连续性进行了探讨以进一步说明定理1;然后通过举反例进行论证,得出了集值映射中上、下半连续性不等价的结论(定理2);最后例举了上、下半连续性在数理经济上的应用,具有创新价值。通过对数理经济学中参数约束最优化问题的最大值定理(引理2)条件和结论所做的两点注记,并附以具体实例予以解释,说明了单、集值映射中上、下半连续性的关系,以及在数理经济上的重要应用。     

超视距协同空战协同表现评价模型

针对超视距协同空战中的协同网络表现评价问题,在分析影响超视距空战协同效果因素的基础上,提出协同满意度概念,构建协同满意度评价指标体系。研究了基于二元语义模型的协同满意度评价方法,最后实例验证了评价模型和评价方法的可行性,为有效进行超视距协同空战的训练和管理提供了依据。     

A generalized assignment model for dynamic supply chain capacity planning

We consider a generalization of the well‐known generalized assignment problem (GAP) over discrete time periods encompassed within a finite planning horizon. The resulting model, MultiGAP, addresses the assignment of tasks to agents within each time period, with the attendant single‐period assignment costs and agent‐capacity constraint requirements, in conjunction with transition costs arising between any two consecutive periods in which a task is reassigned to a different agent. As is the case for its single‐period antecedent, MultiGAP offers a robust tool for modeling a wide range of capacity planning problems occurring within supply chain management. We provide two formulations for MultiGAP and establish that the second (alternative) formulation provides a tighter bound. We define a Lagrangian relaxation‐based heuristic as well as a branch‐and‐bound algorithm for MultiGAP. Computational experience with the heuristic and branch‐and‐bound algorithm on over 2500 test problems is reported. The Lagrangian heuristic consistently generates high‐quality and in many cases near‐optimal solutions. The branch‐and‐bound algorithm is also seen to constitute an effective means for solving to optimality MultiGAP problems of reasonable size. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

A mathematical programming approach for improving the robustness of least sum of absolute deviations regression

This paper discusses a novel application of mathematical programming techniques to a regression problem. While least squares regression techniques have been used for a long time, it is known that their robustness properties are not desirable. Specifically, the estimators are known to be too sensitive to data contamination. In this paper we examine regressions based on Least‐sum of Absolute Deviations (LAD) and show that the robustness of the estimator can be improved significantly through a judicious choice of weights. The problem of finding optimum weights is formulated as a nonlinear mixed integer program, which is too difficult to solve exactly in general. We demonstrate that our problem is equivalent to a mathematical program with a single functional constraint resembling the knapsack problem and then solve it for a special case. We then generalize this solution to general regression designs. Furthermore, we provide an efficient algorithm to solve the general nonlinear, mixed integer programming problem when the number of predictors is small. We show the efficacy of the weighted LAD estimator using numerical examples. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

货郎担问题新算法

将指派问题的匈牙利解法用于货郎担问题,通过恰当地添加大正数构造效率矩阵,得到了计算货郎担问题较快的算法。文中给出的2个例子具体地说明了算法实施过程,该算法具有一定的实用性。     

网络化作战C2组织结构的一种分析设计方法

网络化作战条件下,传统的层次型C2组织限制了组织成员之间的信息交互,难以适应复杂多变的作战环境,影响了系统整体作战效能的发挥。通过分解单个组织节点智能体(Agent)的行为过程,结合网络化作战的概念,在引入信息流、指控流因素情况下,研究在网络化作战中C2组织结构网络,并在分析组织网络探测信息/指控命令的传输和处理的基础上,提出了一种C2组织结构设计方法。该方法充分考虑了网络化作战探测信息共享以及指控命令协同,并将网络化作战C2组织的最优设计问题转化为C2组织网络中探测信息和指控命令的最小费用最大流问题。     

Two exact algorithms for the vehicle routing problem on trees

This article describes a heuristic and two exact algorithms for several classes of vehicle routing problems defined on tree networks. These include capacitated and time‐constrained vehicle routing problems. One of the exact algorithms is based on the computation of bin packing lower bounds. The other uses column generation. The first algorithm performs better on problems containing small customer demands and in which all vehicles are identical. Otherwise, the second algorithm is more powerful and more versatile. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 75–89, 1999     

陆基常规导弹武器系统射击效率评估

现行的陆基常规导弹武器射击效率的算法原理滞后于导弹作战实际需要.针对毁伤律问题、积累毁伤效应问题、相关性问题、目标毁伤的模糊性问题进行了探讨,指出应用当代新的数学理论方法改造现行陆基常规导弹射击效率算法理论的必要性和迫切性.     

平流层飞艇抗风场干扰CUKF算法设计与应用

为了提高风场干扰环境下飞艇的导航精度,研究飞艇抗风场干扰导航算法。在建立风场干扰条件下飞艇速度误差约束模型的基础上,设计抗风场干扰的约束Unscented卡尔曼滤波算法。首先确定风场干扰条件下飞艇的速度误差约束量,将该约束与Unscented卡尔曼滤波算法相结合,对速度误差进行估计和补偿,以减小风场对飞艇定位精度的影响;然后证明该算法的状态估计量不仅是无偏的,而且协方差小于标准UKF的协方差;最后将提出的算法应用于捷联惯导/天文/合成孔径雷达组合导航系统中进行仿真验证,并与自适应扩展卡尔曼滤波和抗差自适应UKF算法进行比较,结果表明：提出的约束UKF算法的滤波性能明显优于自适应EKF和抗差自适应UKF算法,能够有效抑制风场对飞艇定位精度的影响,提高飞艇的导航定位精度。     

军事设施建设项目环境影响评价有关问题分析及建议

根据《中国人民解放军环境保护条例》,军事设施建设项目应进行环境影响评价。由于军事项目建设内容高度机密、国防需要迫切、建设时间紧迫等,再加上一些从事军事设施项目建设的管理人员对环境影响评价的理解还存在某些偏差,使许多军事设施建设项目未进行环境影响评价,影响了我军的环境保护工作。简要介绍了军事设施的范围及军事设施建设项目的环境影响评价概况,结合军事设施建设项目环境影响评价中出现的一些问题,提出了进行军事设施建设项目环境影响评价工作的几点建议。