A simultaneous route and departure time choice model for evaluating intelligent transportation systems services

Abstract

In order to accurately evaluate the impact of the implementation of Intelligent Transportation Systems (ITS) services such as route guidance and Advanced Traveler Information Systems (ATIS), a Simultaneous Route and Departure time choice (SRD) model is needed. This paper develops a cell-based SRD formulation for the case of elastic total demand through the Variational Inequality (VI) approach. This formulation follows the ideal Dynamic User Optimal (DUO) route/departure time choice principle and the First-In-First-Out (FIFO) conditions. It encapsulates a network version of the Cell Transmission Model (CTM) to improve the accuracy of dynamic traffic modeling. To solve the formulation, we adopt a descent method developed for co-coercive variational inequality problems. In the numerical study, we solve a 13-node, 19-link network to demonstrate that the solution of this formulation satisfies the ideal DUO route/departure time choice principle precisely.