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Robust Wardrop’s user equilibrium assignment under stochastic demand and supply: Expected residual minimization approach
Authors:Chao ZhangXiaojun Chen  Agachai Sumalee
Institution:a Department of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, China
b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
c Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
Abstract:Various models of traffic assignment under stochastic environment have been proposed recently, mainly by assuming different travelers’ behavior against uncertainties. This paper focuses on the expected residual minimization (ERM) model to provide a robust traffic assignment with an emphasis on the planner’s perspective. The model is further extended to obtain a stochastic prediction of the traffic volumes by the technique of path choice approach. We show theoretically the existence and the robustness of the ERM solution. In addition, we employ an improved solution algorithm for solving the ERM model. Numerical experiments are carried out to illustrate the characteristics of the proposed model, by comparing with other existing models.
Keywords:Wardrop&rsquo  s user equilibrium  Robust traffic assignment  Demand and supply uncertainty  Nonadditive cost  Expected residual minimization
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