Car path tracking in traffic flow networks with bounded buffers at junctions. (23rd December 2019)

• Record Type: Journal Article
• Authors: Dambach, Theresa; Göttlich, Simone; Knapp, Stephan
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 6(2020)
• Page Start: 3331
• Page End: 3353
• Publication Date: 2019-12-23
• Subjects: boundary value problems on graphs and networks -- finite difference schemes -- traffic flow on networks -- traffic problems; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6121
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at junctions that allow for the interpretation of roundabouts or on‐ramps while the traffic dynamics is based on first‐order macroscopic equations of Lighthill‐Whitham‐Richards (LWR) type. Trajectories for single drivers are then influenced by the surrounding traffic and can be tracked by appropriate numerical algorithms. The computational experiments show how the modeling framework can be used as navigation device.