Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—a partial differential complementarity system approach
Wang, David Zhiwei
Date of Issue2016
School of Civil and Environmental Engineering
This paper studies on modeling and solving spatial and dynamic equilibrium travel pattern in a travel corridor. Consider a travel corridor connecting continuously distributed commuters to the city center. The traffic is subject to flow congestion and the commuter heterogeneity is captured. The traffic flow dynamics is described by flow continuity equation and the equilibrium travel pattern is assumed to follow trip-timing condition. The continuous spatial and dynamic equilibrium travel pattern is formulated into a partial differential complementarity system, which is then solved through Godunov scheme. The proof of solution existence is provided, and a set of numerical experiments are demonstrated.
Dynamic User Equilibrium
Transportation Research Part B: Methodological
© 2016 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Transportation Research Part B: Methodological, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.trb.2015.12.014].