Much interest has recently been shown in the combination of the distribution and assignment models. In this paper we adopt a generalized Benders' decomposition to solve this combined problem for a system optimized assignment with linear link costs and explicit capacity constraints on link flows....

The problem of missing data in the base (calibration) year is of major importance when applying the gravity model in transportation planning, because base year data are used for calibration of the model. In this article, this problem is tackled by solving an optimization problem for the...

A mathematical programming model for modal split predictions based on entropy maximization is presented. The relationship between this type of entropy-based model and the more traditional logit-type models is clarified. The entropy model presented has been used to predict travel patterns in the...

Origin-destination (O-D) trip matrices can be estimated by methods that use traffic volume counts. Assuming that we know the proportionate usage of each link by the interzonal traffic, a system of linear equations combining the O-D flow and the observed volumes can be formulated. This system is,...

The gravity model has been widely used to predict trip matrices in transportation planning, both as a descriptive and an optimizing model. In this paper we present multiobjective programming formulations of the gravity model. The models use the concept of entropy, both as a measure of...