多用户多准则城市交通网络非稳定均衡分析

为了反映现实中交通出行者实施出行与否的决策过程,通过对实际城市交通网络状态的分析,引入了非稳定均衡网络状态的概念。同时通过对出行者出行选择行为的深入分析,引入了多用户多准则非稳定均衡网络状态的非线性互补问题模型和变分不等式模型,并利用超级网络的概念证明了两者的等价性。新模型能够将出行者的路径选择决策、目的地选择决策、出行方式选择决策以及出行与否决策合理的整合在一起,从而可完整的反映城市交通流的形成模式。给出了求解多用户非稳定均衡态的变分不等式模型的修正投影算法,并通过一个数值例子验证了算法的有效性。结论部分给出了多个可进一步深入研究的方向。

Unsteady Equilibrium on Urban Traffic Network with Multiple Users and Muli-criteria

In order to catch the decision-making of traveling-or-not,through analyzing the state of the urban traffic network,the conceptual unsteady equilibrium was proposed.Through analyzing the choice behavior of travelers,the nonlinear complementarity model and variational inequality model for network unsteady equilibrium of multiple users with multi-criteria were introduced.The equivalence between the two models was proved using supernetwork conception.The new models can reflect the whole forming pattern of urban traffic through combining several kinds of travelers' decision-makings,such as traveling-or-not,path choice,destination choice and mode choice.The algorithm related to the variational inequality model based-on path was presented,and the algorithm was applied to numerical examples for illustrative purposes.Several directions need to be lucubrated were given at last.