Equilibrium Traffic Flow Research Articles

XNET: Extended Traffic Assignment Model

A PC-based traffic planning model for use by small cities is described. The software includes routines for estimating OD matrices from observed link data and for determining equilibrium traffic flows. The mathematical modeling and algorithmic implementation of the problem and its solution technique are emphasized. An example application of the model is included.

The efficiency of equilibrium traffic flows

This paper studies the behavior of an optimizing driver on a freeway and the equilibrium speed at which specified flows of traffic move. It shows that both when passing is not allowed (the standard car-following framework of the engineering literature) and when it is permitted, the equilibria tend to exhibit speeds below the Pareto optimal speeds. The flat congestion toll proposed by Oron, Pines and Sheshinski (1973) does not, by itself, bring about Pareto optimality.

Optimal Land Use Design Models with Trip Distribution and Assignment

Given transportation network, two models on land use design are formulated as two stage system optimizing problems, which are classified by the assumption on traffic congestion. Master problem allocates land use activities in zones so that both development / operation cost of land use and transportation cost are minimized. Sub problem gives an equilibrium traffic flow through combined trip distribution and assignment procedure. A solution algorithm is proposed as a simply modified version of Stackelberg Problem. Numerical examples are executed for simple and hypothetical zoning and network.

A Solution Technique for Obtaining an Equilibrium Traffic Flow on a Network with Congested Links

A Solution Technique for Obtaining an Equilibrium Traffic Flow on a Network with Congested Links

Equilibrium predictions in transportation markets: The state of the art

The task of predicting the short run equilibrium of a transportation market is central to the study of many transportation problems. In this paper we review the different approaches and methodologies that have been proposed to deal with the equilibrium problem in transportation markets. The problem is formulated in the most general way possible and its fundamental characteristics are analyzed. Then, different mathematical characterizations of transportation market and traffic flow equilibrium in networks are reviewed. Various available results are presented and analyzed. Finally, a discussion is given of alternative computational procedures for dealing with multiclass problems.

SOME PROBLEMS OF CIVIL ENGINEERING ANALYSIS AND THE THEORY OF (GENERALIZED) GEOMETRIC PROGRAMMING

Abstract We consider problems of analysis in three major areas of Civil Engineering, namely: i) Hydraulic Network analysis, specifically, the determination of flow rates and junction pressures in hydraulic networks, when inlet and outlet flow rates or inlet and outlet pressure heads are known. ii) Elastic analysis of pinpointed trusses, specifically, the determination of stresses and strains in the members of pinjointed trusses when deformations or external loads at the joints are known. iii) Traffic network analysis, specifically, the determination of equilibrium traffic flows and link travel costs in highway networks when the origin to destination input flows or origin to destination travel costs are fixed. In this paper we show that each of these problems may be viewed as a (generalized) geometric programming problem. This illustrates the common structure of these problems in a very simple and unified manner and it also provides a mechanism through which the modern theory of mathematical programming ca...