  Interaction between vehicles and pedestrians is seen in many areas such as
crosswalks and intersections. In this paper, we study a totally asymmetric
simple exclusion process with a bottleneck at a boundary caused by an
interaction. Due to the time-dependent effect originating from the speed of
pedestrians, the flow of the model varies even if the average hopping
probability at the last site is the same. We analyze the phenomenon by using
two types of approximations: (2+1)-cluster approximation and isolated
rarefaction wave approximation. The approximate results capture intriguing
features of the model. Moreover, we discuss the situation where vehicles turn
right at the intersection by adding a traffic light at the boundary condition.
The result suggests that pedestrian scrambles are valid to eliminate traffic
congestion in the right turn lane.
