Primal and Dual Problems of Elastic-Demand Stochastic Traffic Assignment

摘要: The focus of this paper is on the traffic assignment problems with stochastic travel cost perceptions and elastic demands. Following work done by Xie Waller (1) for a general primal-dual modeling framework, authors developed analyzed in study primal dual formulations elastic-demand system-optimal (EDSSO) problem user-equilibrium (EDSUE) problem. equivalency both proved, properties these relationship between them are investigated. Based formulation structures problems, Frank-Wolfe algorithm Cauchy implemented solving respectively. Numerical examples provided, results from which justified supported their mathematical properties, illustrated applicability solution algorithms.