Effect of stoppage time on motion of a bus through a sequence of signals

We study the dynamic motion of a bus moving through the series of traffic signals where the bus stops at bus stops during a time. The dynamic state of the bus depends highly on both stoppage time at the bus stop and cycle time of the signal. It is found that the bus motion has two kinds of dynamic states: the one is the normal state and the other is the offset state. In the normal state, the bus stops normally at both bus stops and signals. In the offset state, the bus passes timely through the signal sometimes and the stoppage time at the bus stop is offset against the stopping time at the signal. If the bus speed has the same value as the car speed, the travel time of the bus is consistent with that of the car in the offset state. The region map (phase diagram) is shown for two kinds of dynamic states: the normal and offset states.