关键词： Algorithms   Animal behavior   Animals   Applied mathematics   Arthropoda   Artificial intelligence   Bees   Behavior   Biology and life sciences   Cognitive science   Computer and information sciences   Engineering and technology   Foraging   Hymenoptera   Insects   Invertebrates   Machine learning   Machine learning algorithms   Mathematical and statistical techniques   Mathematical models   Mathematics   Neuroscience   Optimization   Organisms   Physical sciences   Research and analysis methods   Research Article   Simulation and modeling   Transportation   Zoology  

摘要： Railway and metro transport systems (RS) are becoming one of the popular choices of transportation among people, especially those who live in urban cities. Urbanization and increasing population due to rapid development of economy in many cities are leading to a bigger demand for urban rail transit. Despite being a popular variant of Traveling Salesman Problem (TSP), it appears that the universal formula or techniques to solve the problem are yet to be found. This paper aims to develop an optimization algorithm for optimum route selection to multiple destinations in RS before returning to the starting point. Bee foraging behaviour is examined to generate a reliable algorithm in railway TSP. The algorithm is then verified by comparing the results with the exact solutions in 10 test cases, and a numerical case study is designed to demonstrate the application with large size sample. It is tested to be efficient and effective in railway route planning as the tour can be completed within a certain period of time by using minimal resources. The findings further support the reliability of the algorithm and capability to solve the problems with different complexity. This algorithm can be used as a method to assist business practitioners making better decision in route planning.

关键词： 小学数学课   多样化   优化算法   学生   个性发展  

摘要： 数学学科是小学一门重要的基础学科,小学数学新课改的重点是,要求算法的多样化与优化。教师要在这方面加强探索,通过不断的反思和总结,使教学课堂更加多样化,对学生加强引导,使小学数学的算法在多样化的基础上更加优化。根据相关工作经验,主要探究小学数学课多样化与优化算法对学生个性发展促进作用的相关问题,供大家参考和借鉴。

关键词： 数学形态学   CO2焊   熔池   边缘检测   Matlab  

摘要： 针对CO_2焊熔池图像存在强烈噪声干扰,致使图像处理过程实时性和可靠性差的特点,分析总结了形态学四种基本运算的特性和六种基本形态学边缘检测算子各自的优缺点;然后结合结构元素对于图像边缘检测作用的效果和特性,组合出了一种新型算子;通过Matlab软件仿真结果证明,该算子在抗噪性方面具有较强能力,适合于CO_2焊熔池图像的处理,为进一步研究焊缝跟踪问题奠定了基础。

关键词： 模式定理   遗传算法   数学模型  

摘要： 阐明遗传算法"优胜劣汰"的定理、积木块假设、隐含并行性和收敛性,分析模式在遗传操作下的变化,把握遗传算法的实质,给出遗传算法实数编码方式更准确的描述方式.

关键词： Quadrotor   PID controller   Ziegler-Nichols   6 degree of freedom   Genetic Algorithm  

摘要： In order to analyze the mathematical modeling and PID controller performance of a quadrotor, this paper firstly, describes the quadrotor flight dynamics according to "Newton-Euler laws", then equations of motion linearized and transfer functions for 6 degrees of freedom obtained in state space domain. Classic PID controller based on "Ziegler-Nichols method" is designed and implemented on the system. In order to have better performance, Genetic Algorithm based on step response optimization is used to optimize PID controller performance and compared with classic method. Finally, step responses comparison for each transfer function show that Genetic Algorithm with PID control synthesis better efficiency than the classic PID controller.

关键词： 数学算法   计算机编程   思考分析  

摘要： 数学算法的作用在于通过最小的付出,完成最多的工作。这正是传统计算机编程代码所亟需解决的关键问题之一。因此,本文对数学算法在计算机编程优化中的作用进行了简要的分析,并对其实际应用情况展开了思考。

关键词： 图像处理   边缘检测   Canny算子   数学形态学   滤波  

摘要： 为了更好地提取图像边缘信息并且抑制噪声,结合Canny算法及数学形态学在图像边缘检测中的应用,文章设计了一种基于数学形态学预处理的Canny边缘检测算法。通过将该算法与一般边缘检测算法以及Canny算法的仿真结果进行比较,可以发现该算法在边缘检测及消除噪声方面具有更优的性能。

关键词： 高中数学课程   数形结合   几何画板   整体结构   操作活动   问题解决   存在定理   一元二次方程   解题过程   奇偶性  

摘要： 数学课程的整体结构和教材编者的编写意图,决定着每个教学内容在教材中的地位,从而决定着每节课教学设计的方向。在设计教学环节时,只有“瞻前顾后”、整体把握教学内容,才能帮助学生将相关数学知识结构化、网络化。在一次省际教学交流活动中,笔者执教了《函数的零点》一课。

关键词： 高中数学   算法教学   探究  

摘要： 算法作为新课程改革刚增加的知识内容,在新实施的省份高考试题中,算法大多以选择题和填空题的形式出现,考试重点主要是算法的概念和三种逻辑结构,所以授课教师在课程设计和课堂授课时,要有选择性地使用生活教学法,拉近学生和算法初步的心理距离,同时教师要重视基础算法知识,紧抓住基本题型教授给学生,还要采用直观教学策略、探究教学策略等授课方式,最终达到让学生掌握算法初步的目的。