The interest in the mathematical modeling of transportation systems stems from the need to predict how people might make use of new or improved transport infrastruc ture in order to evaluate the benefit of the required investments. To this end it is necessary to build models of the demand for transportation and models that de termine the way in which people who travel use the transportation network. If such models may be constructed and their validity reasonably assured, then the predic tion of the traffic flows on future and present transportation links may be carried out by simulating future situations and then evaluating the potential benefits of alternative improvement projects. In the attempts that were made to construct mathematical models of transportation networks, the notion of equilibrium plays a central role. Suppose that the demand for transportation, that is, the number of trips that occur between the - rious origins and destinations is known. Then it is necessary to determine how these trips are attracted to the alternative routes available between origins and destinations. Knight (1924), gave a simple and intuitively clear description of the behaviour of road traffic under conditions of congestion.

Inhalt
i. General Modelling Considerations.- Traffic Equilibrium Methods: The Structure of Model Research.- Equilibrium Models in Use: Practical Problems and Proposals for Transport Planning.- ii. Theoretical Studies.- Highway- Traffic Equilibria Analysed Via Geometric Programming.- Integrated Equilibrium Flow Models for Transportation Planning.- Equilibrium Versus Optimum in Public Transportation Systems.- Statistical Equilibrium.- Transportation Model with Elastic Constraints.- iii. Computational Methods.- A Unified Approach to Equilibrium Methods for Traffic Assignment.- Network Equilibrium Capabilities for the UMTA Transportation Planning System.- Application of Error Measures to Traffic Assignment Results.- Some Models for Combining the Trip Distribution and Traffic Assignment Stages in the Transport Planning Process.- Multiple Route Assignment: A Comparison of Two Methods.- iv. Dynamic Traffic Assignment Methods.- Emulation of Dynamic Equilibrium in Traffic Networks.- A Model and an Algorithm for the Dynamic Traffic Assignment Problem.- v. Traffic Equilibrium and Traffic Control.- Area Traffic Control and Network Equilibrium.- Evaluation of Freeway Corridor Assignment Equilibria.- vi. Model Components.- Supply Functions for Public Transport: Initial Concepts and Models.- A Note on the Economic Interpretation of Delay Functions in Assignment Problems.- vii. Applications Of Traffic Equilibrium Methods.- Recent Experience with Equilibrium Methods for the Study of a Congested Urban Area.- The Choice of Assignment Techniques for Large Networks.- An Analysis and Comparison of Behavioral Assumptions in Traffic Assignment.- An Investigation of SomeProblems in the Calibration of Traffic Assignments.- The Use of Traffic Equilibrium Based Problem-Oriented Language for a Governmental Feasibility Study.