Elastic Bottleneck Equilibrium Model for Rail Transit Passengers at Rush Hours

As the traditional bottleneck models are failed to be fully utilized in the rail transit equilibrium at rush hours, the paper proposes the elastic bottleneck concepts which can reflect the trip character in each station, and develops a bottleneck equilibrium traffic flow model. First, with extending the definition of congestion risk cost, a more reasonable travel cost model for different stations at different time is developed at rush hours. Then, the peak hours computing equation is formulated to investigate the characteristics of rush hours. Considering the elastic features of different stations, the elastic bottleneck equilibrium model at the rush hours is developed. Finally, after model solution, the similarity between the model result and land value of space diminishing is analyzed comparatively, which is used to demonstrate the rationality of the proposed elastic bottlenecks model.