Applied Mathematics & Information Sciences

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In this paper, traffic current of the lane reduction bottleneck for two-lane road merging into single-lane road under open boundary condition is investigated numerically for different upstream arrival rates and downstream departure rates. We find that traffic current at the bottleneck will reach its capacity when the upstream arrival rate exceeds a critical value with a free downstream traffic flow, while the current decreases with the decrease of the downstream departure rate when the downstream departure rate is less than the capacity of the bottleneck. Two representative cases, which are downstream departure rates being less than and greater than the capacity of the bottleneck, are selected to simulate the traffic flow at the lane reduction bottleneck, and investigate the dependence of the traffic current on safety distance, length and maximum speed of slow down section for different downstream departure rates. Some practical suggestions are proposed based on the results of our investigations.