The purpose of this paper is to clarify concepts of the relationships used to describe the supply of transport services in network flow equilibrium models. These functions are used to describe the capacity, level of service, and price characteristics of transportation systems. There appear to be...

This note shows, with an example, that user costs on transportation systems need not remain constant or increase with increasing volume, even with design and operational options fixed.

This paper presents a model of the decision making of local transit agencies regarding the amount of service to produce, and the use of competitive contracting as a means of service delivery, with particular reference to the impact of external factors, especially federal policies, on that...

This paper presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A...

A reduction method is proposed which allows standard sensitivity techniques for variational inequalities to applied to equilibrium network flow problems without additional assumptions on either the underlying network or the numbers of active paths. In particular it is shown that under mild...

We are concerned in this paper with creating a dynamic description of interregional commodity movements which has steady states consistent with the traditional Samuelson-Takayama-Judge (STJ) static spatial price equilibrium model. This is accomplished by introducing a disequilibrium adjustment...

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...

Rapid changes and complexities in business environments have stressed the importance of interactions between partners and competitors, leading supply chains to become the most important element of contemporary business environments. There is a concomitant need for foresight in describing supply...

In this paper we present a continuous-time network loading procedure based on the Lighthill–Whitham–Richards model proposed by Lighthill and Whitham (1955) and Richards (1956). A system of differential algebraic equations (DAEs) is proposed for describing traffic flow propagation, travel...