MODELS AND ALGORITHMS FOR PREDICTING URBAN TRAFFIC EQUILIBRIA

Thomas L. Magnanti

55 citations0/0 files storedPublication of: Elsevier Science Publishers BV

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Transportation Planning and Optimization Traffic control and management Optimization and Variational Analysis

Abstract

This paper reviews a wide variety of contributions to traffic equilibrium analysis. It considers a general equilibrium model and a number of its specializations from several perspectives: modelling of equilibrium situations, existence and uniqueness of equilibrium solutions, and algorithms for computing a solution. The discussion treats special equilibrium problems that can be modelled as equivalent optimization problems, and studies more complex problems that can be modelled as fixed point, nonlinear complemental, or variational inequality problems. (TRRL)

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1988Adaptation of a Modified Newton Method for Solving the Asymmetric Traffic Equilibrium Problem 1995Uniqueness of the solution for optimal static routing in open BCMP queueing networks 1996Regional mass transit assignment with resource constraints 2003Selfish Routing in Capacitated Networks 1998Traffic Modeling and Variational Inequalities Using GAMS 1994A spatial decision support system for transportation policy analysis in Bangladesh 1990Extending and solving a multiperiod congested network flow model 1997A survey of some mathematical programming models in transportation

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