Modeling bus stops in transit networks: A survey and new formulations

In this paper, we undertake a detailed study of the bus stop problem in con gested transit networks. In the first part of the paper, we present and dis cuss the bus stop models existing in the literature. In the second part, we propose a new general model for which we prove a number of good properties and we give equivalent formulations. Then, we examine two special cases of the general model. In the first case, the line capacities are considered l imited and therefore they can not be exceeded by the on-board passenger flo ws. In the second case, the strict capacity constraints are relaxed in orde r to obtain a stop model that can be easily integrated into an assignment m odel to predict the global passenger behavior in transit networks.