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。     

基于ISIGHT的微型飞行器布局优化设计研究

微型飞行器具有飞行雷诺数低、易受外界环境干扰等特点,并存在多目标优化问题,因此其气动布局优化设计难度较大。针对微型飞行器的特点及优化设计要求,采用N-S方程与遗传算法相结合的方法对微型飞行器的多目标优化设计,基于ISIGHT软件来实现该方法的具体流程,克服了计算量大、无法实现自主迭代的缺点。并对微型飞行器的展弦比、尾翼安装角、尾翼的高度和根弦长进行优化,优化目标为飞行器的静稳定性和升阻特性,优化后的构型具有良好的气动性能,结果表明该方法明显提高了计算的精度和优化设计的水平,在工程上有一定的应用价值。     

多约束条件下无人机航路规划动态评价方法

针对多约束条件的无人机航路规划评价方法缺乏合理性和动态特性的问题,提出了基于无人机六自由度模型的飞行仿真动态评价方法。分析了无人机航路规划的约束条件和影响航路评价的因素,基于某型无人机六自由度飞行动力学模型和飞行控制系统模型建立了无人机飞行仿真系统模型,将航路规划与评价进行有机结合进而进行航路评价方法软件的设计,通过对无人机沿规划航路的仿真飞行参数进行动态特性分析,以更接近真实情况的仿真手段对多约束条件下的航路规划效果进行评价。结果表明,该方法形象直观的实现了对无人机规划航路的动态综合评价,满足工程需求。     

战术车载通信车内互调干扰

在战术车载通信车内有多部不同种类的通信设备,当这些设备同时工作时,会产生严重的互调干扰,给战术车载通信设备的正常工作造成了很大的困难,有时候甚至可能导致设备间通信信道完全阻塞,导致整个通信系统陷入瘫痪。首先对互调干扰的产生机理进行了阐述,同时对互调干扰进行了建模和仿真,给出了在战术车载通信车内互调干扰测试的一种方法,最后给出了抑制互调干扰的一些方法。     

基于CAN总线的指挥车电源管理系统设计

指挥车上的用电设备多,对供电品质要求高,传统的电源管理系统已无法满足系统的要求。设计了一种以数字信号处理器(DSP)和单片机为控制核心,采用CAN总线进行通讯的电源管理系统。系统采用模块化的设计思想,实现了系统关键部件的可换性,拓展了电源系统的工作条件;采用各种可靠性设计方法有效地抑制电网波动,改善电磁环境,提高系统供电品质和可靠性,为指挥车辆电源管理系统设计提供了一种可行的方案。     

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     

高超音速飞行器参数不确定性的自适应控制方法

针对高超音速飞行器飞行控制中被控对象模型参数不确定性的特点,应用简单自适应控制方法设计其纵向控制律。论述高超音速飞行器纵向运动的动力学模型和参考模型的建立,以及基于此参考模型用简单自适应理论设计飞行控制律的方法,并且通过数值仿真进行鲁棒性能验证。仿真结果表明,所设计的控制律可以根据参考模型与实际系统输出之差自适应地调节控制增益,对模型参数不确定性具有较好的抑制作用,设计方法可行。     

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。     

虚拟人机工程技术及其在装甲车辆研发中的应用

文章分析了国内外车辆虚拟人机工程技术研究进展及发展现状,介绍了虚拟人机系统的构成涉及的主要技术,阐述了虚拟人机工程在装甲车辆研发中的应用。