Traffic Network Equilibria.

Richard Asmuth

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

Abstract

Consider here a model of traffic flow on a road network. For each ordered pair of nodes there is a demand function which expresses travel demand between the two nodes as a function of travel times on the network. Each road (arc) has a delay function which expresses travel time on that arc as a function of total traffic flow. Our objective is to show how an equilibrium of travel times, flows, and demands may be computed under conditions which are simple, general, and plausible. To solve the network problems techniques are developed for solving the stationary point problem.

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1994Equilibria for Networks with Lower Semicontinuous Costs: With an Application to Congestion Pricing 2015A nonlinear equation system approach to the dynamic stochastic user equilibrium simultaneous route and departure time choice problem 1993A partial linearization method for the traffic assignment problem 1983A linearization and decomposition algorithm for computing urban traffic equilibria 1983A methodology for intercity transportation planning in Egypt

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