Existence of simultaneous route and departure choice dynamic user equilibrium
arXiv:1211.0898 · doi:10.1016/j.trb.2013.01.009
Abstract
This paper is concerned with the existence of the simultaneous route-and-departure choice dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite-dimensional variational inequality in Friesz et al. (1993). In deriving our existence result, we employ the generalized Vickrey model (GVM) introduced in and to formulate the underlying network loading problem. As we explain, the GVM corresponds to a path delay operator that is provably strongly continuous on the Hilbert space of interest. Finally, we provide the desired SRDC-DUE existence result for general constraints relating path flows to a table of fixed trip volumes without invocation of a priori bounds on the path flows.
21 pages
References in corpus (1)
Cited by in corpus (12)
- Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving
- Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance
- Existence of simultaneous route and departure choice dynamic user equilibrium
- Elastic demand dynamic network user equilibrium: Formulation, existence and computation
- Continuity of the path delay operator for dynamic network loading with spillback
- Continuous-time link-based kinematic wave model: formulation, solution existence, and well-posedness
- Computing Dynamic User Equilibrium on Large-Scale Networks Without Knowing Global Parameters
- Continuity of the Effective Path Delay Operator for Networks Based on the Link Delay Model
- Side-Constrained Dynamic Traffic Equilibria
- Quasi-Dynamic Traffic Assignment using High Performance Computing
- Computing Dynamic User Equilibria on Large-Scale Networks: From Theory to Software Implementation
- An Infinite-Dimensional Variational Inequality Formulation and Existence Result for Dynamic User Equilibrium with Elastic Demands