OD分布与随机均衡分配的组合模型及算法

目前交通规则实践缺乏考虑交通信息的随机性，从而降低了它所得结果的准确性，为此，通过分析出行路选择和目标选择的随机性，建立了交通网络OD分布与随机平衡（或均衡）分配的组合模型，通过引入拉格朗日函数，证明了模型最优解满足随机用户平衡条件和OD分布的要求且最优解是唯一的；最后给出了模型的方向搜索算法。

Combinatorial model and algorithm involving OD distribution and stochastic user equilibrium assignment

Because the randomness of transportation information has not been considered in present practical transportation planning ,the accuracy or efficiency of transportation planning is depreciated.In order to overcome this drawback,the combinatorial model simulaneously involving OD distribution of trips in a transportation network and stochastic user equilibrium assignment(SUEA) of trips to routes in each OD pairs was developped on the basis of analysis on random ness in choices of route and destination for a given mode. It was proved that the solution of the combinatorial model was unique and it satisfied Wardropian principle of SUEA and requirement of OD distribution by introducing Langrangian function.Finally,the algorithm of model was given by using the direction hunting method.