| 交通灯数学模型 |
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| 引用本文： | 华年. 交通灯数学模型[J]. 数学的实践与认识, 2006, 36(5): 11-17 |
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| 作者姓名： | 华年 |
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| 作者单位： | 清华大学数学科学系,北京,100084 |
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| 摘 要： | 主要讨论在假定车流均匀的前提下如何安排路口的交通灯时间才能使路口的交通达到最大限度的畅通.这里交通最大限度通畅的定义是一个交通周期内积存车辆的最大可能长度达到最小.文章首先以最大限度通畅为目标,道路条件、行人通过马路等条件为约束,建立优化模型解决孤立丁字路口的交通灯安排问题,这个模型也适用于孤立十字路口的分析.随后文章建立了多个路口相连时路口交通灯的安排模型.最后,文章讨论了上述几个模型的稳定性以及改进方向.
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| 关 键 词： | 交通灯 交通周期 孤立路口 |
| 修稿时间： | 2002-05-31 |
Mathematical Model of Traffic Light Time |
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| HUA Nian. Mathematical Model of Traffic Light Time[J]. Mathematics in Practice and Theory, 2006, 36(5): 11-17 |
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| Authors: | HUA Nian |
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| Abstract: | Assuming the coming traffic flow to be stationary,a model of nonlinear programming is proposed to decide the arrangement of traffic light time of a single intersection.Its object is to ensure the least possible jam in one traffic light cycle,with some restrictions.This model fits for both the 3-leg intersections and the 4-leg intersections.Then a model for more than one intersections that are close to each other is setup.The last part of the paper discusses the stability of the two models and the ways to improve them. |
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| Keywords: | traffic light traffic light cycle single intersection |
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