We study the chain-reaction crash (multiple-vehicle collision) in low-visibility condition on a road. In the traffic situation, drivers brake according to taillights of the forward vehicle. The first crash may induce more collisions. We investigate whether or not the first collision induces the...

We present the dynamic model of the chain-reaction crash to take into account the irregularity of the perception–reaction time. When a driver brakes according to taillights of the forward vehicle, the perception–reaction time varies from driver to driver. We study the effect of the...

We study the multiple-vehicle collision when a vehicle changes from the first lane to the second lane on a two-lane highway. If a vehicle with high (low) speed on the first lane enters into the second lane, it may crash into the forward (rear) vehicle on the second lane and the crash may induce...

We study the multiple-vehicle collision when a vehicle decelerates suddenly in a single-lane traffic flow. The extended optimal velocity model is used for the vehicular motion to take into account the relative velocity. If a vehicle slows down suddenly and the following vehicle does not...

We study the traffic behavior when a vehicle changes from the first lane to the second lane on a two-lane highway. The incoming vehicle decelerates or accelerates by interacting with the vehicle ahead or behind on the second lane. We apply the extended optimal velocity model to the vehicular...

We discuss the statistics of long queues, in which the interdeparture time statistics is dominated by spatial interactions among the elements in a queue rather than the arrival or exit processes. Based on a Fokker–Planck approach, it is possible to calculate the stationary distance...