修正型Lupas—Baskakov积分算子的逼近性质

引入了修正型Lupas-Baskakov积分算子,它是由Lupas算子和Baskakov算子复合而得到的。通过分析和研究修正型Lupas-Baskakov算子的性质,给出了该类算子的VonorovsKya渐近表达式,确定了此类算子饱和阶及平凡类,最后建立了修正型Lupas-Baskakov积分算子的饱和定理。     

ASYMPTOTIC ELASTIC STRESS FIELD NEAR A BLUNT CRACK TIP IN AN ANISOTROPIC MATERIAL

IntroductionThe Williams' [1] approximate solution ob-tained with the characteristic expansion method isused for the calculation of stress distribution of anideal crack.The idealcrack is regarded as a mathe-matical line,so the crack tip becomes a singularpoint in this method. The applicability ofWilliams' solution is limited to a small annular re-gion after the elimination of a small region contain-ing the crack tip.However,in real situations,acrack tip generally has a curvature to some exten…     

嵌入粘弹性包覆层的吸声覆盖层低频性能研究

在单层牯弹性圆柱管吸声覆盖层的基础上,发展了嵌入低剪切波波速包覆层即双层粘弹性圆柱管的吸声结构的理论模型.推导了轴对称波特征方程的低频近似解,并根据牛顿迭代法进一步计算精确解,为吸声覆盖层的低频性能快速预报提供基础.数值分析表明包覆层嵌入比例的增加、或者包覆材料剪切波速的减小能有效地改善低频吸声性能.     

非完美信息下京津冀区域物流设施选址研究

针对大规模物流设施选址问题,本文构建了非完美信息下设施可靠性选址的连续逼近模型.该模型不仅考虑了设施存在损坏的可能性,而且考虑了由于信息缺失顾客无法获得设施状态且存在返回出发地的行为.由于该模型的结果无法直接确定设施选址点,因此采用Disk算法对该模型的结果进行离散化,获得物流设施选址方案.以京津冀区域物流设施选址为例,验证了该模型有效性并对设施布局特性进行了分析.最后,通过灵敏度分析探讨了不同参数对京津冀区域物流设施选址的影响.     

Continuous approximation models for mixed load school bus routing

School bus routing is a complex and expensive transportation problem for many public school districts. Typical school bus routes serve a single school, but mixed load school bus routes carry students for more than one school at the same time. A mixed load policy reduces the number of stops and distance to pick up and drop off children, but it can increase travel distance by visiting multiple schools. This paper provides a general strategic analysis using continuous approximation models to assess the conditions under which mixed loading is likely to be beneficial. We also present a case study for a semi-rural Missouri school district to illustrate the application of the models in practice. Results show that mixed load routing is more beneficial for larger districts, when a large percentage of bus stops are shared by students of different schools, and when schools are closer together.     

变长序列相关性与DS-CDMA性能分析

基于对变长扩频序列相关特性的分析，研究了采用0VSF扩频序列的多速率异步DS—CDMA系统性能，导出以序列非周期部分相关表示的多址干扰分析结果．数值分析结果表明，干扰用户序列长度对期望用户BER能有较大影响，而期望用户所采用的序列长度对自身BER性能的影响较小。     

非扩张映象的Ishikawa迭代与最佳逼近元

在严格凸Banach空间中研究了非扩张映象T的耦合不动点集F(T)的闭凸性,获得了当F(T)是Hilbert空间中的闭线性子空间时,Ishikawa迭代的极限元与其初始元的最佳逼近元之间的关系.     

尺寸可变的装箱问题的近似算法的研究

给定物品系列,要求将所有物品装入到不同类型的箱子中,以实现从第1个箱子到最后1个箱子被使用的箱子的总尺寸最小化.用最坏情况绝对性能研究在线算法,给出了一种最坏情况绝对性能比是3的近似算法.作为这种算法的应用,给出了一种脱线算法,其最坏情况绝对性能比是2.     

交通工程CAE软件系统的设计与实现方法

在分析交通工程软件系统现状的基础上，给出了基于GIS(地理信息系统)平台的交通工程CAE(计算机辅助工程)软件系统的设计方案，对系统设计中的关键技术进行了分析，采用数值逼近理论分析交通数据，并以智能化图形方式显示结果。实例中通过对交通特性中行车速度的分析与处理，证明了该系统整体方案及交通数据组织与拟合算法的可行性。     

Traffic state estimation and uncertainty quantification based on heterogeneous data sources: A three detector approach

This study focuses on how to use multiple data sources, including loop detector counts, AVI Bluetooth travel time readings and GPS location samples, to estimate macroscopic traffic states on a homogeneous freeway segment. With a generalized least square estimation framework, this research constructs a number of linear equations that map the traffic measurements as functions of cumulative vehicle counts on both ends of a traffic segment. We extend Newell’s method to solve a stochastic three-detector problem, where the mean and variance estimates of cell-based density and flow can be analytically derived through a multinomial probit model and an innovative use of Clark’s approximation method. An information measure is further introduced to quantify the value of heterogeneous traffic measurements for improving traffic state estimation on a freeway segment.