A methodology to derive the critical demand density for designing and operating feeder transit services

Feeder lines are one of the most often used types of flexible transit services connecting a service area to a major transit network through a transfer point. They often switch operations between a demand responsive and a fixed-route policy. In designing and running such systems, the identification of the condition justifying the operating switch is often hard to properly evaluate. In this paper, we propose an analytical model and solution of the problem to assist decision makers and operators in their choice. By employing continuous approximations, we derive handy but powerful closed-form expressions to estimate the critical demand densities, representing the switching point between the competing operating policies. Based on the results of one-vehicle and two-vehicle operations for various scenarios, in comparison to values generated from simulation, we verify the validity of our analytical modeling approach.     

Optimal transit service atop ring-radial and grid street networks: A continuum approximation design method and comparisons

Two continuum approximation (CA) optimization models are formulated to design city-wide transit systems at minimum cost. Transit routes are assumed to lie atop a city’s street network. Model 1 assumes that the city streets are laid out in ring-radial fashion. Model 2 assumes that the city streets form a grid. Both models can furnish hybrid designs, which exhibit intersecting routes in a city’s central (downtown) district and only radial branching routes in the periphery. Model 1 allows the service frequency and the route spacing at a location to vary arbitrarily with the location’s distance from the center. Model 2 also allows such variation but in the periphery only.The paper shows how to solve these CA optimization problems numerically, and how the numerical results can be used to design actual systems. A wide range of scenarios is analyzed in this way. It is found among other things that in all cases and for both models: (i) the optimal headways and spacings in the periphery increase with the distance from the center; and (ii) at the boundary between the central district and the periphery both, the optimal service frequency and line spacing for radial lines decrease abruptly in the outbound direction. On the other hand Model 1 is distinguished from Model 2 in that the former produces in all cases: (i) a much smaller central district, and (ii) a high frequency circular line on the outer edge of that central district.Parametric tests with all the scenarios further show that Model 1 is consistently more favorable to transit than Model 2. Cost differences between the two designs are typically between 9% and 13%, but can top 21.5%. This is attributed to the manner in which ring-radial networks naturally concentrate passenger’s shortest paths, and to the economies of demand concentration that transit exhibits. Thus, it appears that ring-radial street networks are better for transit than grids.To illustrate the robustness of the CA design procedure to irregularities in real street networks, the results for all the test problems were then used to design and evaluate transit systems on networks of the “wrong” type – grid networks were outfilled with transit systems designed with Model 1 and ring-radial networks designed with Model 2. Cost increased on average by only 2.7%. The magnitude of these deviations suggests that the proposed CA procedures can be used to design transit systems over real street networks when they are not too different from the ideal and that the resulting costs should usually be very close to those predicted.     

半导体Si和GaAs的GW近似能带结构与BSE吸收光谱的研究

基于密度泛函理论,采用平面缀加波的广义密度近似的PBE泛函和准粒子近似的GW方法对典型的半导体硅Si和砷化镓GaAs的能带结构进行了研究;同时研究了Si和GaAs的光吸收谱,并利用多体微扰理论的BetheSalpeter方程(BSE)进行了修正。计算结果表明,准粒子近似的GW方法对Si和GaAs的能隙预测结果和实验值符合较好,考虑了电子—空穴对激子效应的GW-BSE多体微扰方法计算的Si和GaAs的介电函数吸收谱与实验谱符合最佳;研究说明激子效应在半导体光谱性质分析方面十分重要。     

面向目标跟踪的传感器调度方法

针对传感器网络对目标的跟踪问题,提出一种传感器优化调度方法。该方法以传感器使用成本和允许激活的最大传感器数量为约束条件,把最小化目标位置误差作为优化目标,运用二进制凸规划技术对优化调度问题进行建模,采取逼近算法迭代求解规划模型。蒙特卡罗实验表明,对于节点数目小于70的传感器网络,优化调度方案可以获得高精度的目标跟踪结果。     

A three level location-inventory problem with correlated demand

This paper considers a three level location-inventory problem where demand across the retailers is assumed to be correlated. We first present a reformulation scheme by which the initial formulation is transformed into a mixed integer conic quadratic program. In addition, we propose a solution approach based on an outer approximation strategy and show the algorithmic advantage of such framework for this class of programs. The results from numerical experiments show that the proposed solution procedure clearly outperforms state-of-the-art commercial solvers. In addition, we show that neglecting the effect of correlation can lead to substantially sub-optimal solutions.     

关于小样本置信区间

主要小样本问题中，对于参数或者非参数的估计，如何构造单侧或者双侧置信区间的方法，通过解方程组求得参数（或参数的函数）的Ｍ－估计，并得到一个重要的结论。     

最佳逼近线性化与常规线性化方法的比较

本文给出了最佳逼近线性化方法与台劳级数线性化方法的比较,说明了两种方法适用的范围,并进行了误差分析。     

高维欧氏空间上无界连续函数逼近的渐近公式

利用扩展乘数法讨论了高维氏空间上线性正算子改造为逼近多元无界连续函数的渐近估计，给出了具有一般性的渐近公式，作为实例研究了多元非乘积型的Landau多项算子逼近多元无界连续函数的渐近估计式，推广了前人的若干结论。     

多学科优化设计在半潜式钻井平台设计中的应用

多学科优化设计（Multidisciplinary Design Optimization，MDO）是通过考虑学科之间的相互耦合来挖掘设计潜力，通过系统的综合分析来进行方案的选择和评估的一种应用于工程设计阶段的先进设计理念和设计方法，能够达到提高设计效率，降低设计成本的目的。半潜式钻井平台是具有高复杂度的工程系统，在其方案设计中要考虑到水动力学、结构力学、动力定位、工程应用以及成本分析等多个学科，非常适合于多学科优化设计的应用。以半潜式钻井平台方案设计为例，介绍了如何使用多学科优化设计来考虑影响平台的多个因素之间的耦合关系，以确定平台的主尺度，来获得最佳的平台总体性能；介绍了应用多学科优化设计时的三个重要关键技术：复杂问题的分解、数学建模和近似模型技术。     

直墙式建筑物上立波作用力计算的讨论

采用Fourier近似立波数值解计算直墙式建筑物上的立波作用力,以典型波浪条件的计算结果为例,比较了数值解和我国以及日本现行规范计算方法的差异,指出了两种规范中有待进一步改进之处。