2017/06/03 by Nacira Guerouahane, Djamil Aı̈ssani, Guerouahane, Nacira +5
Engineering · Social Sciences · #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC) #Performance (cs.PF) #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.1706.00962
openalex publication_date 2017/06/03 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We propose in this article a M/G/c/c state dependent queuing model for road\ntraffic flow. The model is based on finite capacity queuing theory which\ncaptures the stationary density-flow relationships. It is also inspired from\nthe deterministic Godunov scheme for the road traffic simulation. We first\npresent a reformulation of the existing linear case of M/G/c/c state dependent\nmodel, in order to use flow rather than speed variables. We then extend this\nmodel in order to consider upstream traffic demand and downstream traffic\nsupply. After that, we propose the model for two road sections in tandem where\nboth sections influence each other. In order to deal with this mutual\ndependence, we solve an implicit system given by an algebraic equation.\nFinally, we derive some performance measures (throughput and expected travel\ntime). A comparison with results predicted by the M/G/c/c state dependent\nqueuing networks shows that the model we propose here captures really the\ndynamics of the road traffic.\n