The first loop for daily bus operation

Abstract

We study the basic behaviors of buses using bus route models (BRM) by introducing a special kind of noise induced by impacts of other vehicles. The peak where the maximum velocity of buses exists shrinks in low noise conditions, which is worth the further study. Furthermore, we extend the model to take into consideration more realistic and important parameters, such as the number of passengers, the capacity of buses, and the possibility of overtaking, for performing simulations of the first loop. Suggestions on the choice of the number of buses and the maximum velocity are provided for the practical operation.