A Multi-Class Multi-Mode Variable Demand Network Equilibrium Model with Hierarchical Logit Structures

Abstract

We consider a multi-class multi-mode variable demand network equilibrium model where the mode choice model is given by aggregate hierarchicallogit structures and the destination choice is specified as a multi-proportional entropy type trip distribution model. The travel time of transit vehicles depends on the travel time of other vehicles using the road network. A variational inequality formulation captures all the model components in an integrated form. A solution algorithm, based on a Block Gauss-Seidel decomposition approach coupled with the method of successive averages results in an efficient algorithm which successively solves network equilibrium models with fixed demands and multi-dimensional trip distribution models. Numerical results obtained with an implementation of the model with the EMME/2 software package are presented based on data originating from the city of Santiago, Chile. 8.1 INTRODUCTION Over the past twenty years, the models used in transportation planning for congested urban networks received a lot of attention from researchers and practitioners. One of the principal issues studied and debated is that of the consistency of the models used for predicting the demand for travel and the network models used to determine the levels of service. One seeks to ensure that the levels of service which are used to compute the demand would be reproduced if that demand were used again to 1\9 M. Gendreau and P. Marcotte (eds.), Transportation and Network Analysis: Current Trends, 119-133.