更新过程理论在交通流上的一个应用

一个更新过程的两个随机变量的分布:间隔分布、计数分布是1—1对应的,但由间隔分布求对应的计数分布的问题尚未很好地解决。在道路断面观测交通流可得到一更新过程,车头时距和车辆到达分别是其间隔和计数。时距分布容易观测得到,而到达分布的观测却较难。因此上述数学问题的解决对交通流理论是非常有意义的,本文将研究之。

An Application of Renewal Process Theory to Traffic Flow Theory

The two random variables-interval,count-of a renewal process are 1-1 corresponding. Their distributions are determining each other. But the deduction from a interval distribution to its count distribution has not been solved perfectly. In traffic theory, a real renewal process can be gained by observing a traffic flow at a section of a road. Headway, arrival are its interval and count respectly. The headway distribution can be get by observation easily, but the arrival distribution not easy. So, the solution of the above mathematical problem is very useful to traffic theory. In this paper, we are going to do it.