动态系统最优分配模型的研究

A Study on Dynamic System Optimum Traffic Assignment

本文提出了一个动态系统最优交通分配模型。依据最优控制理论建立起来的模型，能够用于多ＯＤ对拥挤道路网上的瞬时交通流形态的预测。模型的最优解利用Ｐｏｎｔｒｖａｓｉｎ最小值原理获得，并证明了该最优解与Ｗａｒｄｒｏｎ的用户最优原理的动态，表述相一致。最后，本文讨论了该模型离散形式的解法。

A dynamic system optimum traffic assignment model is suggested in thispaper. The model is formulated, as an equivalent continuous time optimum controlproblem, to predict the temporal traffic flow pattern under the control of the management center on a congested multiple origin destination network. Optimal conditions are derived using the Pontryagin minimum principle and proved the temporalevolution of traffic flow pattern corresponding to a dynamic generalization ofwardrop's system optimum principle. Finally, a algorithm for discrete version of themodel is given.