| 城市快速道路车道合道路口通行能力分析之半马尔可夫模型 |
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| 引用本文： | 张宁.城市快速道路车道合道路口通行能力分析之半马尔可夫模型[J].系统工程理论与实践,2005,25(7):141-144. |
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| 作者姓名： | 张宁 |
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| 作者单位： | 北京航空航天大学经管学院 |
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| 基金项目： | 香港科学研究资助局，国家自然科学基金联合资助(70131160744) |
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| 摘 要： | 证明在城市快速道路上合并车道,其实际通行能力将因车流交织行为而发生退化,以至小于前行车道的设计通行能力.文章运用全概率公式,构造了半马尔可夫转移方程组,其输入变辆是车辆到达率及车辆让行率,它们分别反映了车流情况及行车行为,然后再运用母函数分析方法,给出了车辆队列有限与无穷的临界点.
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| 关 键 词： | 马尔可夫方程 通行能力 车流交织 |
| 文章编号： | 1000-6788(2005)07-0141-04 |
| 修稿时间： | 2004年7月15日 |
The Semi-Markov Model for Capacity of Highway with Merging Two Lane into One Lane |
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| ZHANG Ning.The Semi-Markov Model for Capacity of Highway with Merging Two Lane into One Lane[J].Systems Engineering —Theory & Practice,2005,25(7):141-144. |
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| Authors: | ZHANG Ning |
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| Institution: | School of Economics and Management, BeiHang University |
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| Abstract: | The degradation of road capacity is proved due to the traffic weave when the two lanes is merged into one lane in the metropolis highway. The operational capacity is hence less than the designed capacity of the headway. The Semi-Markov model is proposed on the basis of sum equation of probability. The inputs are the arrive rate and make-way rate which reflect the link flow and traffic behavior respectively. The condition of limit and unlimit of vehicle queue is illustrated through the generating function. |
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| Keywords: | markov equation road capacity traffic weave |
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