The Multi-Class, Multi-Criteria Stochastic System Optimum and Optimal Toll Problem
多用户多准则随机系统最优与最优收费

In view of multi-criteria stochastic network equilibrium with fixed demand and discrete value of time, the multi-class, multi-criteria stochastic system optimum and optimal tolling problem are considered, in time and cost respectively. Two stochastic system optimization models are established on the basis of cost and time, respectively. Also the uniqueness conditions of their solutions and equivalent variational inequality problems are obtained. The feasibility of the first order best toll is studied. Since the first order best toll is not suitable for time-based stochastic system optimum, an optimization model is presentedto find the feasible toll pattern. Finally, an example is shown.