基于渐进性的线性方程组教学设计的研究

针对线性方程组传统教学中的一些问题,给出了引入线性方程组、解线性方程组、分析解结构的渐进性三步教学设计,同时给出了maple求解线性方程组的两种方法,将理论与实践初步结合了起来,丰富了教学手段,激发了学生的学习兴趣。     

Strategic obfuscation of production capacities

Recent supply‐chain models that study competition among capacity‐constrained producers omit the possibility of producers strategically setting wholesale prices to create uncertainty with regards to (i.e., to obfuscate) their production capacities. To shed some light on this possibility, we study strategic obfuscation in a supply‐chain model comprised of two competing producers and a retailer, where one of the producers faces a privately‐known capacity constraint. We show that capacity obfuscation can strictly increase the obfuscating producer's profit, therefore, presenting a clear incentive for such practices. Moreover, we identify conditions under which both producers' profits increase. In effect, obfuscation enables producers to tacitly collude and charge higher wholesale prices by moderating competition between producers. The retailer, in contrast, suffers a loss in profit, raises retail prices, while overall channel profits decrease. We show that the extent of capacity obfuscation is limited by its cost and by a strategic retailer's incentive to facilitate a deterrence. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 244–267, 2014     

Sequential learning versus no learning in Bayesian regression models

We consider two regression models: linear and logistic. The dependent variable is observed periodically and in each period a Bayesian formulation is used to generate updated forecasts of the dependent variable as new data is observed. One would expect that including new data in the Bayesian updates results in improved forecasts over not including the new data. Our findings indicate that this is not always true. We show there exists a subset of the independent variable space that we call the “region of no learning.” If the independent variable values for a given period in the future are in this region, then the forecast does not change with any new data. Moreover, if the independent variable values are in a neighborhood of the region of no learning, then there may be little benefit to wait for the new data and update the forecast. We propose a statistical approach to characterize this neighborhood which we call the “region of little learning.” Our results provide insights into the trade‐offs that exist in situations when the decision maker has an incentive to make an early decision based on an early forecast versus waiting to make a later decision based on an updated forecast. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 532–548, 2014     

预制缺陷柱壳结构的等效裂纹分析方法

针对传统有限元法在分析预制缺陷柱壳时出现的应力/应变计算精度不足、无法有效指导工程实践的问题,提出了一种具有高冗余度的等效裂纹分析方法。将预制缺陷视作典型裂纹,基于奇异裂纹元法对其进行裂纹稳定性分析,并根据稳定性分析结果来评估预制缺陷柱壳的结构完整性。通过该方法得到的分析结果具有比常规有限元分析更高的可靠性,对于导弹线式爆炸分离装置等工作环境恶劣、风险系数较高的预制缺陷柱壳结构而言,该方法有助于提升其设计的安全裕度,具有一定的工程实用性。     

弹道导弹关机点状态估计的指数加权递归最小二乘方法

在双星预警条件下,将指数加权递归最小二乘算法应用于目标关机点状态估计问题中。通过引入加权因子对目标助推段运动的局部拟线性特性进行描述,从而在一定程度上克服了一般的线性多项式模型难以准确刻画整个助推段运动的难题。通过对助推段目标动力学特性的分析,考察了目标在垂直射面方向上的运动特性。在此基础上,提出了一种更为准确的助推段运动模型。仿真算例表明,所提出的关机点状态估计方法相对于传统的方法具有一定的优越性。     

军用飞机燃油消耗多元线性回归模型

为了解决军用飞机非标准动作燃油消耗建模问题,利用实际飞参数据,采用多元线性回归方法进行建模分析。建立了燃油消耗量与飞行时间、油箱平均油量、平均高度、平均速度、T1温度、T4温度、N2转速、高度变化量、飞机外挂的多元线性回归模型,并对回归模型进行统计性检验和验证。结论显示:模型拟合度较好,符合军用飞机飞行耗油规律,对军用飞机非标准动作燃油消耗规律研究具有重要意义。     

装备维修器材保障最小费用模型研究

考虑部队装备维修器材需求量的随机变化对保障费用产生的影响,通过实际问题分析给出了在保障单位零星供应条件下,如何确定保障单位最佳的器材存储量并建立器材保障最小费用模型的程序和方法,最后结合实例,验证了模型的适用性.     

GTEM室内脉冲场分析及对数周期天线的响应规律研究

为研究对数周期天线(LPGA)的方波脉冲响应特性,利用GTEM室和CST仿真软件对LPGA方波脉冲响应信号进行实验测试与仿真分析.利用实验室自行研制的超宽带电场测试系统对GTEM室进行校准,得到了室内电场强度E(t)与方波源的输出电压V(t)和芯板高度h之间的关系;搭建GTEM室中天线脉冲响应测试平台,得到不同辐照方向下的LPGA方波脉冲时域响应信号;利用CST仿真软件建立对数周期天线的3D模型,得到响应信号幅值的开路电路模型.     

基于RSSI线性回归分析的无线传感器网络定位方法

在无线传感器网络（WSN）定位应用中,针对接收信号强度指示（RSSI）容易受到环境的影响不能实现准确测距的问题,提出了一种基于RSSI线性回归分析的定位方法。该方法通过信号衰减模型和线性回归理论相结合,修正实际环境下每个锚节点的测距模型,同时利用相关系数和剩余标准差对测距模型进行评估,制定出更加合理的定位策略。实验表明,采用修正的测距模型和新的定位策略,使得节点定位精度明显提高。     

线性规划问题新解——改进大M法

借鉴两阶段法的求解思路,在用单纯形法求解线性规划问题时,对大M法进行改进,提出一种新的算法.这种改进后的算法可以有效克服原来两种算法的不足,既能降低理解难度,又能提高算法的效率,保证算法的全局收敛性.