A Multiclass and Multicriteria Stochastic Traffic Network Equilibrium Variational Inequality Model with Fixed Demand

Abstract

Based on variational inequality theory, a multiclass and multicriteria stochastic traffic network equilibrium model with fixed demand was obtained under the assumption that the weights of criteria are class-dependent and the cost functions are unsymmetrical. The qualitative analysis, such as existence and uniqueness, was studied. Since generalized road-transit-cost is affected each other by road flow, MSA (Method of Successive Averages) algorithm was extended to solve the variational inequality problem of this traffic network equilibrium. The process of this algorithm and an example were put forward.