EQUILIBRIUM TRAFFIC ASSIGNMENT WITH MULTIPLE USER CLASSES --TRANSPORTATION PLANNING METHODS. PROCEEDINGS OF SEMINAR M HELD AT THE PTRC SUMMER ANNUAL MEETING, SUSSEX UNIVERSITY, ENGLAND, JULY 14-17, 1986. VOLUME P282

D Van Vliet · W H Scheltes

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Transportation Planning and Optimization Traffic control and management Vehicle Routing Optimization Methods

Abstract

This paper considers the problems of dividing the trip matrix to be assigned to a road network into multiple user classes where the division of trips is based on: (a) physical characteristics of the vehicles; (b) driver characteristics; and/or (c) network restrictions. A wardrop equilibrium model is formulated to deal with conditions where travel costs are a function of flows. Under certain, not unrealistic, conditions this model is shown to be equivalent to a convex minimisation problem and a convergent assignment procedure based on the frank-wolfe algorithm is proposed. This algorithm has been implemented and tested using the saturn suite of programs. Practical considerations in applying the model to networks in the Netherlands are discussed.(a) for the covering abstract of the seminar see IRRD 812674.

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