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本文论述了到达交叉路口的车流是Poisson流的条件下,对交通灯的定时控制与随机控制进行了分析,证明在适当条件下被阻车数平稳分布存在,但不是Poisson分布,纠正了以往的结论。定时控制情形被阻车数平稳分布可用母函数表示,由此可造分布表;随机控制情形,平稳分布母函数满足一个函数方程,用它可求出各阶矩。
In this paper, under the condition of Poisson flow, the traffic lights arriving at the intersection are analyzed. The timing control and stochastic control of the traffic lights are analyzed. It is proved that there is a steady distribution of the number of stopped vehicles under appropriate conditions, but not the Poisson distribution, in conclusion. The timing control case is stable distribution of the number of stop vehicles can be expressed by the parent function, which can create a distribution table; stochastic control case, the stable distribution of the parent function to meet a functional equation, use it to find the moments.