出行者行为假设对交通网络用户均衡建模具有重要影响,更符合人们的真实决策行为的累积前景理论,为随机交通网络中的路径选择行为研究提供了新的分析框架.基于累积前景理论,将出行者的路径选择决策与网络的随机性相结合,建立了随机网络用户均衡的等价变分不等式模型;提出了求解模型的算法,通过简单的算例对模型和算法的合理性进行验证.通过对参数进行灵敏度分析,发现模型可以较好的反映出行者的风险态度、出行者对网络服务水平的预期以及出行流量波动大小对网络均衡状态的影响.
The assumption about travelers' choice behavior has a major influence on traffic assignment.Cumulative prospect theory(CPT) proposes an alternative framework to the traditional risk-taking modeling in route choice behavior,which might be more complicated but more scientific.Based on the choice framework of CPT,this paper establishes a link between the network stochasticity and traveler's route choice behavior by calculating CPT-based commute utility.Moreover,we establish the CPT-based user equilibrium(UE) model as well as its equivalent variational inequality(VI) expression.Accordingly,an algorithm on the basis of the method of successive average(MSA) is proposed to solve the UE model.Both the model and the solution algorithm are demonstrated in a numerical example.Sensitivity analysis of parameters involved is also discussed in detail,which displays the effect of traveler's risk preference,traveler's expectation on network service level and network uncertainty on the UE flow distribution.