Recent progress in study of singular perturbation problems

Some results for the singular perturbation theory, methods and applications in the new century are reviewed in this paper. It could be found that in the recent decade, many approximate methods have been developed and refined, including the method of averaging, boundary layer methods, methods of matched asymptotic expansion and methods of multiple scales. An overview is given on the new work about various problems, such as the reaction diffusion, turning points, boundary layers, shock waves, stability problem, solitons, attractors, canard solution, scattering light wave and neuron network, etc. And then, a great number of applied problems are solved in applied mathematics, computational mathematics, fluid mechanics, elastic mechanics, optics, thermophysics, quantum mechanics, plasm physics, physical chemistry, analytical chemistry, epidemiology, neurology, engineering science, environment science, bionomics, atmosphere physics, ocean climate, aeronautics and astrnatics and so on, from which only some examples are extracted and described in this review.     

基于诱导信息的交通流动力学特征与非线性密度波研究

In this dissertation,based on the existing macro- scopic and microscopic models for traffic flow,several improved mathematical models in accordance with the rapid development of intelligent transportation system (ITS) are proposed,and the corresponding theoretical analysis and numerical simulation are performed.In     

Study on One—Dimensional Model of Traffic Flow with Stochastic Deceleration via Lattice Boltzmann Method

One-dimensional traffic model was studied with the consideration of stochastic deceleration by using the lattice Boltzmannmethod.The evolution equation for vehicle density was derived,which has the form of the Burgers equation exhibiting the effect of viscosity corresponding to the deceleration.The simulation with the model shows that the variation of vehicle density in space tends to a periodic one,which implies the existence of kinematic waves in the 1D traffic flow and coincides with theoretical prediction.     

Principle of MSD floating-point division based on Newton-Raphson method on ternary optical computer

The division operation is not frequent relatively in traditional applications, but it is increasingly indispensable and important in many modern applications. In this paper, the implementation of modified signed-digit (MSD) floating-point division using Newton-Raphson method on the system of ternary optical computer (TOC) is studied. Since the addition of MSD floating-point is carry-free and the digit width of the system of TOC is large, it is easy to deal with the enough wide data and transform the division operation into multiplication and addition operations. And using data scan and truncation the problem of digits expansion is effectively solved in the range of error limit. The division gets the good results and the efficiency is high. The instance of MSD floating-point division shows that the method is feasible.     

Application of formal safety assessment in planning VTS

To ensure that limited resources are allocated more effectively to reduce marine risks, formal safety assessment (FSA), a proactive method, is introduced in planning a vessel traffic system (VTS). Based on the data of Wuhan port, some new solutions based on risk-indices are put forward. The weighted number of traffic accidents is predicted after the future weighted vessel traffic volume is estimated by analyzing the trend of trade development. To analyze risk acceptability, the as-low-as-reasonably-practicable (ALARP) matrix is transformed into a new model containing two parameters: the future weighted vessel traffic volume and the future weighted number of traffic accidents. The new risk control options (RCOs)can be identified by a revised Domino model with several feedback loops from all system levels to close a limited window of accident opportunity. The results indicate that the four most beneficial RCOs are a wider sub-area 1 channel, a VTS bridges area, a dredging sub-area 2 main route, and a VTS QSX anchorage to the 3rd bridge. The FSA is a method that is effective in evaluating the rationality, necessity and cost-effectiveness of VTS projects.     

基于免疫单亲遗传算法在TSP中的应用

基本遗传算法保持群体多样性的能力较差,所以经常在问题求解的过程中极易陷入局部最优解。根据生物的免疫原理和单亲遗传算法并结合最近邻域算法思想提出的一种改进算法———基于免疫单亲遗传算法（IPGA）。免疫遗传算法中的基因重组、免疫记忆以及免疫元动态等特性,这些特性有助于改进基本遗传算法群体多样性的保持能力。最后结合48个城市旅行商问题进行了求解,仿真结果表明,基于免疫单亲遗传算法具有更好的性能,相对于传统的遗传算法收敛速度提高了30%。     

皮电测量在虚拟仿真驾驶座舱实验教学中的应用

虚拟仿真驾驶座舱评测是汽车人机交互设计教学中的重要一环.依托汽车交互实验室的研究背景和条件,在主观和行为测量基础上,将皮电测量引入研究生课程,在整个设计流程中发挥学生主观能动性,自主展开命题、设计调研、实验设计和可用性评测.以评测车载多屏互动音乐系统为例,学生在驾驶仿真台架上完成两种设计方案实验评测.实验表明,使用中控...     

Reconstruction method of differentiated backprojection-projection onto convex sets in the interior problem and design of bone-nail model

This work focuses on the application of the reconstruction method of differentiated backprojection （DBP）-projection onto convex sets （POCS） in the interior problem.First,we present the definition of the interior problem and real truncated Hilbert transform,and then outline the implementation steps of DBP-POCS.After that,we introduce the middle-part known condition for region of interest （ROI） accurate reconstruction and the unique condition of the interior problem,and verify the uniqueness and stability of the interior problem accurate reconstruction through numerical experiments,and then compare the results for the interior problem in reconstruction images using filtered backprojection （FBP）.In addition,the authors also design the application models of ROI reconstruction and make an initial attempt to the application of DBP-POCS method in the interior problem.