为了使交通分配更符合出行者的实际行为特征,基于累积前景理论,给出了交通流连续分布状态下路径前景的连续函数表达式,建立了随机用户均衡模型,并给出了等价的变分不等式.该模型同时考虑了交通系统的不确定性、出行者的感知误差以及建模者的观测误差.讨论了模型解的性质,设计了求解算法,并通过算例进行了验证.结果表明:在(0,1)区间内,当出行可靠性参数或风险态度参数值越大时,出行者对于风险的感知越敏感,越倾向于选择行程时间波动较小的路径；当感知误差较小或路网不确定性程度较大时,出行者的路径选择行为均逐渐趋于稳定.研究还表明,出行者的损失规避程度对网络均衡态的影响不明显.%In order to make traffic assignment be in more accordance with travelers' actual behavior, a continuous function for path prospect was presented based on the cumulative prospect theory. A stochastic user equilibrium model and its equivalent variational inequality were formulated. This model can captures three kinds of uncertainty simultaneously, namely traffic system's uncertainty and errors in travelers' perceptions and modeler's observation. Some properties of the proposed model were discussed, and a corresponding algorithm and numerical example were presented. The research result indicates that with the increasing of travel reliability parameter or risk attitude parameter between interval 0 and 1, travelers will be more sensitive to risk and inclined to choose routes with less travel time variability, while travelers' choices will be stabilized in the event of small perception errors or a high degree of uncertainty. Furthermore, the loss aversion coefficient has a little influence on equilibrium traffic flow.
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