An equivalent continuous time optimal control problem is formulated to predict the temporal evolution of traffic flow pattern on a congested multiple origin-destination network, corresponding to a dynamic generalization of Wardropian user equilibrium. Optimality conditions are derived using the...

In this paper we develop two types of dynamic congestion pricing model, based on the theory of marginal cost pricing. The first model is appropriate for situations where commuters have the ability to learn the best route choices through day-to-day explorations on a network with arc capacities...

Several methods are discussed for minimizing the sum of linear collection/distribution costs from/to a number of zones, and non-linear costs at processing ports. The non-optimality and computational implications of approximating non-linear cost functions for use with the linear programming...

Traffic assignment is a set of criteria through which the demand for mobility is distributed over the links of a transport network. Over the last 30 years, Dynamic Traffic Assignment (DTA) models have been developed to support time-dependent analyses in nascent fields that need to take into...

This paper presents a continuous time optimization model for a dynamic pricing and inventory control problem in a dual-channel supply chain system. We consider a manufacturer's redesign of traditional channel structures, based on customer behaviors, by engaging in direct Internet sales. While...

This paper discusses the use in logistics management of the freight network equilibrium model, developed in Harker and Friesz (1985a, b), called the Generalized Spatial Price Equilibrium Model, or GSPEM. After this discussion, computational techniques for solving this model are presented. The...