关于正则图的最大特征值的一个不等式

主要讨论了Krivelevich的与图的谱有关的一个不等式的等号成立的情况,得到下面的结果:定理1:设G=(V,E)是n个顶点的d正则图,令d=λ1≥λ2≥Λ≥λn是G的所有特征值.又令λ=max2≤i≤n|λi|,则对于U,W(∪)V,有|e(U,W)-d|U‖W|/n|≤λ√|U‖W|(1-|U|/n)(1-|W|/n),其中e(U,W)表示U到W的边数;等号成立当且仅当U=W,且G|e(U,W)-d|U||W|/n|或者为具有参数(n,k,a,a)的强正则图,或者为完全图.     

滑行艇静水阻力的估算方法

本文将国内诸滑行艇模型试验资料与D.T.M.B.62系列资料作了对比,发现尽管两者的艇型及试验条件都不一样,但在艇型主要因素间的某些关系及阻力特性方面有一定联系。若它们的L_σ/B_(σx)、A/2/3、X_g及F_n保持相同或相当,且β=13°～17°,B_(σT)/B_(σx)=0.7～0.8,A_σ=45.5％L_σ～48.5％L_σ,则可利用62系列的阻力资料,并引进 7％的修正系数,就可预报国内艇型的阻力性能。在F_n<4.2范围内,其估算结果是偏于安全的。 文中给出了滑行艇阻力估算图谱,其适用范围为L_σ/B_(σx)=3.0～7.0,A/2/3=5.0～9.0,F_n=2.0～4.0,X_g=8％L_(σo)。另外,还给出了双桨、三桨、四桨滑行艇的附件阻力因子,供设计使用。     

理想AND/OR图搜索策略的推广

SUB和COM是专家系统推理网络图中常见的关系算子，AND和OR分别是SUB和COM算子的特例．建立在理想AND／OR图上的半景搜索法和最大优势搜索法可以推广到包含SUB和COM算子的理想非AND／OR图的搜索，而最大超越搜索法则可推广到包含回路结构的非理想AND／OR图的搜索．     

液压铆钉机及其动态仿真分析

应用功率键合国理论，对液压铆钉机进行了计算机动态数字仿真，使得在设计阶段即可根据模拟物理模型，预测其动态性能。这种方法可推广到任何一个需要重新设计的非标准设备，从而大大提高设计效率并保证设计质量。     

典型DHT拓扑结构的研究

从代数角度研究了主要的DHT（分布式哈希表）拓扑结构,为方便、深入地理解DHT拓扑结构,运用群论和图论的方法重点对其拓扑结构的数学性质作了详细的分析,这些数学性质在改进现有拓扑结构或设计新的拓扑结构时有很大的应用价值．     

计算机编制列车运行图系统调整系统设计及实现

利用计算机编制列车运行图是铁路适应市场的需要,列车运行图编制系统的调整子系统是该系统的重要组成部分,对列车运行图系统的功能设计进行了讨论,对该子系统框架的设计以及图形显著优化的技术实现进行了详细地描述。     

A generalized partite-graph method for transportation data association

There are many problems in transportation which involve reconstructing the associations between different entities. For example, data points related to a vehicle from different sensors could be matched to reconstruct the trajectories of vehicles. Or, in population synthesis for microsimulation, lists of persons, dwellings, and vehicles could be generated individually from source data and then matched into synthetic households. There are numerous other examples. The unifying theme is a desire to construct realistic unit-level associations from aggregate or anonymized data. The problem demands a method that is behaviorally consistent and operationally efficient to handle large datasets. We adapt concepts from graph theory to formulate this class of problems as a k-partite graph. This approach is generic and can incorporate expectations of behavior in the form of edge weights. A Dijkstra algorithm based solution is proposed for a subset of k-partite graphs which permits a direct comparison with pair-wise matching and applied to a case study of bicycle tracklets. We then propose an iterative improvement algorithm as a generic method and apply it to a complete k-partite graph in a population synthesis case study. The first case study shows that the k-partite algorithm outperforms the previously used pair-wise matching algorithms. The second case study demonstrates the generality of the proposed algorithm to all k-partite graphs and shows that the generic method is fast and scalable to large problems. As a whole, this paper aims to show that k-partite methods are behaviorally consistent, efficient, and potentially applicable to a wide variety of transportation data association problems.     

图的相对结合数与图的结构的两个新结果

在已有研究的基础上，进一步讨论图的相对结合数rb(G)与图的结构的关系，主要得到有关rb(G)=n-6和rb(G)=4-n时的结果。     

一类4-正则图的最小折数纵横扩张

提出了一类新的4-正则图,并讨论了其最小折数纵横扩张,设计出求最小纵横扩张的线性时间算法,给出了最小折数与阶数之间的关系.     

Vehicle dynamics control of an electric-all-wheel-drive hybrid electric vehicle using tyre force optimisation and allocation

ABSTRACT

Hybrid Electric Vehicles (HEV) offer improved fuel efficiency compared to conventional vehicles at the expense of adding complexity and at times, reduced total power. As a result, HEV generally lack the dynamic performance that customers enjoy. To address this issue, the paper presents a HEV with electric All-Wheel-Drive capabilities via the use of torque vectoring electric rear axle drive (TVeRAD) to power the rear axle. The addition of TVeRAD to a front wheel drive HEV improves the total power output. To improve the handling characteristics of the vehicle, the TVeRAD provides torque vectoring at the rear axle. A bond graph model of the drivetrain is developed and used in co-simulation with CarSim. The paper proposes a control system which utilises control allocation to optimise tyre forces. The proposed control system is tested in the simulation environment with a high fidelity CarSim vehicle model. Simulation results show the control system is able to maximise vehicle longitudinal performance while avoiding tyre saturation on low mu surfaces. More importantly, the control system is able to track the desired yaw moment request on a high speed double lane change manoeuvre through the use of the TVeRAD to improve the handling characteristic of the vehicle.