A macroscopic traffic flow model with phase transitions and local point constraints on the flow
arXiv:1605.0819115 citationsh-index: 19
Originality Synthesis-oriented
AI Analysis
Provides a theoretical foundation for modeling localized traffic bottlenecks, but is purely analytical without empirical validation.
The paper extends a two-phase traffic flow model with a point constraint to simulate toll booth effects, and proposes two Riemann solvers for future Cauchy problem analysis.
The two phase model for vehicular traffic flows recently appeared in \cite{goatin2006aw} and \cite{BenyahiaRosini01} is endowed with a point constraint on the flow to allow for the modelling of phenomena such as the effects of toll booths along a road. We describe in this paper two Riemann solvers for this model upon which an ulterior study of the cauchy problem should rely.