Balancing a one‐way corridor capacity and safety‐oriented reliability: A stochastic optimization approach for metro train timetabling

In urban rail transit systems of large cities, the headway and following distance of successive trains have been compressed as much as possible to enhance the corridor capacity to satisfy extremely high passenger demand during peak hours. To prevent train collisions and ensure the safety of trains, a safe following distance of trains must be maintained. However, this requirement is subject to a series of complex factors, such as the uncertain train braking performance, train communication delay, and driver reaction time. In this paper, we propose a unified mathematical framework to analyze the safety‐oriented reliability of metro train timetables with different corridor capacities, that is, the train traffic density, and determine the most reliable train timetable for metro lines in an uncertain environment. By employing a space‐time network representation in the formulations, the reliability‐based train timetabling problem is formulated as a nonlinear stochastic programming model, in which we use 0‐1 variables to denote the time‐dependent velocity and position of all involved trains. Several reformulation techniques are developed to obtain an equivalent mixed integer programming model with quadratic constraints (MIQCP) that can be solved to optimality by some commercial solvers. To improve the computational efficiency of the MIQCP model, we develop a dual decomposition solution framework that decomposes the primal problem into several sets of subproblems by dualizing the coupling constraints across different samples. An exact dynamic programming combined with search space reduction strategies is also developed to solve the exact optimal solutions of these subproblems. Two sets of numerical experiments, which involve a relatively small‐scale case and a real‐world instance based on the operation data of the Beijing subway Changping Line are implemented to verify the effectiveness of the proposed approaches.     

Does Military Spending Nonlinearly Affect Economic Growth in South Africa?

Using annual data collected from 1988 to 2015, this study provides evidence of a non-linear relationship between military spending, economic growth and other growth determinants for the South African economy. The empirical study is based on estimates of a logistic smooth transition regression (LSTR) model and our empirical results point to an inverted U-shaped relationship between military spending and economic growth for the data. Furthermore, our empirical results suggest that the current levels of military spending, as a component of total government expenditure, are too high in the South African economy and need to be transferred towards more productive non-military expenditure in order to improve the performance of economic growth and other growth determinants.     

基于ANSYS的大型复合材料风力机叶片结构分析

基于ANSYS软件,对某款应用于GL3A风场的1500kW大型复合材料风力机叶片进行了结构分析。分析结果表明:该叶片的振型以一阶挥舞和一阶摆振为主,其频率分别为0.86Hz和1.59Hz;在极限挥舞载荷作用下,该叶片有限元模型计算得到的叶尖挠度为8.445m,而该叶片全尺寸静力试验得到的极限挥舞载荷作用下的叶尖挠度为8.12m,计算值与试验值的误差只有3.8%;另外,该叶片的最大计算拉应力和压应力分别为228MPa和201MPa,而该叶片玻纤/环氧复合材料实测拉伸强度和实测压缩失稳强度分别为720MPa和380MPa,其计算最大应力只有对应实测极限强度的31.7%和52.9%。     

在物理实验教学中培养学生的问题意识

本文探讨了在大学物理实验教学中如何培养学生的问题意识,结合平时的教学经验,提出了一些可行的培养方法。     

基于门限的无线传感器网络密钥管理方案

由于无线传感器网络在能量消耗、内存开销和计算能力等方面的局限性,传统的网络密钥管理方法已不适用。为此提出了一种适用于无线传感器网络的密钥预分配方法——基于（t,n）-门限方案,给出了密钥分配方法,并从方案的连通性、安全性等方面进行了有效的分析,结果表明该算法在这些方面有一定的优势。     

对几种不同维数据融合方法的仿真对比研究

在多雷达系统组网对空情报处理中,不同的数据融合方法在融合精度、求解时间及计算量方面都有较大差异。为了验证不同融合方法的融合效果及系统处理时间和性能,分析了多雷达系统组网对不同维数据融合处理的映射法、升维法、分维法的融合框架和融合算法,并分别进行了计算机仿真,得出并分析了对比数据。仿真结果表明了分维法在数据融合中的优势。     

Dynamic signatures and their use in comparing the reliability of new and used systems

The signature of a system with independent and identically distributed (i.i.d.) component lifetimes is a vector whose ith element is the probability that the ith component failure is fatal to the system. System signatures have been found to be quite useful tools in the study and comparison of engineered systems. In this article, the theory of system signatures is extended to versions of signatures applicable in dynamic reliability settings. It is shown that, when a working used system is inspected at time t and it is noted that precisely k failures have occurred, the vector s [0,1]^n‐k whose jth element is the probability that the (k + j)th component failure is fatal to the system, for j = 1,2,2026;,n ‐ k, is a distribution‐free measure of the design of the residual system. Next, known representation and preservation theorems for system signatures are generalized to dynamic versions. Two additional applications of dynamic signatures are studied in detail. The well‐known “new better than used” (NBU) property of aging systems is extended to a uniform (UNBU) version, which compares systems when new and when used, conditional on the known number of failures. Sufficient conditions are given for a system to have the UNBU property. The application of dynamic signatures to the engineering practice of “burn‐in” is also treated. Specifically, we consider the comparison of new systems with working used systems burned‐in to a given ordered component failure time. In a reliability economics framework, we illustrate how one might compare a new system to one successfully burned‐in to the kth component failure, and we identify circumstances in which burn‐in is inferior (or is superior) to the fielding of a new system. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

气动力/直接力复合导弹鲁棒控制器设计

提出了一种气动力/直接力复合控制导弹在舵机层面进行复合控制的鲁棒控制器设计方法,即空气舵与直接力喷流机构看作是复合舵系统模型.该方法在完成复合舵系统建模的基础上,利用参数空间方法对等效舵机系统进行设计,以确保在喷流因子变化时的鲁棒性.最后,通过仿真验证了该方法的可行性.     

潜器支持母船阵位选择

针对缆控水下航行体在水下工作过程中,潜器支持母船和水下航行体的配合问题。以防止风流变化造成潜器脐带电缆与母船缠绕危险的发生,基于对风流环境的极限判断,对母船阵位的选择进行了研究,并提出了一种简易的选择模型,对指导水下航行体和支持母船的配合有一定的指导意义。     

稳态法测量热系数的计算方法改进研究

不良导体热系数测量普遍采用的是稳态法,但表面散热率的间接测量和样品侧面散热与漏热给测量带来一定误差,使得热系数实际测量值略微偏大。介绍了新的实验装置和实验数值计算方法,并且分析研究了样品边缘（侧面）热损失的物理模型,提出了新的数学模型和数据处理方法,纠正了这些偏差,与实验吻合较好。