居民出行分布的电子云现象
论文编号:WLX077 字数:9629,页数:24 摘 要 当前城市交通拥堵现象十分严重，如何缓解交通拥堵的压力，正确而合理地制定居民出行交通方案是一个十分重要的问题。本论文从量子力学关于电子云分布的特征为理论基础，以物理学观点将居民出行概率与电子云分布进行类比。研究发现，居民出行分布的概率密度曲线与氢原子基态电子在核外出现的概率密度曲线极为相似，运用量子力学中的电子云分布模型可以很好地解释居民出行分布特性，根据氢原子中电子的径向概率密度函数为主要参考建立了模拟电子云居民出行分布模型。以杭州翰墨香林社区的居民出行为依据，调查并量化分析居民出行的情况，对模型进行验证。在此基础上，进一步建立实用模型，并对实用模型进行标定。该模型可在城市规划和城市交通规划中定量描述居民出行分布状态，从而为解决交通拥挤问题提供一份决策依据，更好地规划城市和城市交通。关键词：交通拥堵 电子云 出行分布 类比Abstract The phenomenon of urban traffic congestion is currently a very serious problem. How to relieve the pressure of traffic jams, and then making a correct and reasonable program of residential trip is a very important issue. This paper is on the basic theoretical of the distribution of electron cloud of quantum mechanics, and with the physics view, taking analogy between the probability of residential trip and distribution of electron cloud. The research showed that the probability density curve of residential trip distribution is very similar to the probability density curve of electron in ground state of hydrogen atom. The characteristics of residential trip distribution can be well described by the electron cloud model in quantum mechanics. In this paper a residential trip distribution model is built by simulating electron cloud according to the radial probability density function of electron in hydrogen atom. According to the situation of the residential trip in Han Mo Xiang Lin community in Hangzhou, analyzing the situation of the residential trip in quantitative, and then verifying the model. The application model is further put forward and its calibration method is given. The model can quantitatively describe the state of residential trip distribution in urban planning and urban traffic planning. And then provide a basis of decision-making for solving the problem of the traffic congestion, make better planning of cities and urban transport.Keywords: traffic congestion; electron cloud; trip distribution; analogy目 录中文摘要 i英文摘要 ii目录 iii第一章 绪论 1 1.1 研究动机与目的 1 1.2 研究背景 1 1.3 研究方法与系统描述 1 1.4 论文内容概述 1第二章 城市交通拥堵问题 3 2.1 交通拥堵现象 3 2.2 交通拥堵产生的原因 3 2.3 解决交通拥堵问题的方案 4第三章 居民出行分布与电子云分布的类比 5 3.1 电子云分布理论 5 3.2 居民出行分布 6 3.3 居民出行分布与电子云分布的类比 6第四章 理论模型建立 7 4.1 分离变量 7 4.2 径向分布 7 4.3 角度分布 9 4.4 以电子云径向概率密度为参考建立理论模型 10第五章 模型验证 13第六章 实用型的出行分布概率模型并量化分析计算 15 6.1 实用型模型的建立 15 6.2 实用型模型的应用 16 6.3 实用型模型的标定 17第七章 结论 19致谢 20参考文献 21
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