Roads with No Overtaking

摘要

A road which narrows at bottleneck from an infinite-lane road to a one-lane road is studied with two independent stochastic processes. At the bottleneck an equilibrium headway can be viewed as the maximum of a shifted exponential random variable and a minimum headway. After the bottleneck the situation becomes far more complicated. However, at a sufficently large distance from the bottleneck an equilibrium headway may be approximated by the maximum of a shifted exponential random variable and a minimum headway, with the parameters of the shifted exponential random variable depending on the desired speed of the car. The distance from the bottleneck only affects the location, not the scale. Results are checked by Monte Carlo experiments.