考虑到达时间感知价值的静态网络均衡模型

实际到达时间的大小直接影响出行感受,从而影响出行者的路径决策.在一个出行时间不确定的网络中,路径的实际到达时间也是不确定的,以偏好到达时间为分界点,本文对实际到达时间所处的可能区域进行了划分,在累积前景理论框架下建立了到达时间感知价值函数,在此基础上假设累积感知价值是由出行收益、出行负效用和到达时间感知价值三部分构成,构建了一个基于累积感知价值的静态网络均衡模型,探讨了均衡解的存在性和唯一性并设计了求解算法.最后,通过两个数值算例分析了模型参数改变对均衡结果的影响.

The static network equilibrium model considering the arrival time perceived value

The actual arrival time directly affects the travel experience, and thus influences travelers' route choice decisions. In a network with travel time uncertainty, the arrival time is also uncertain. In such a case, taking the preferred arrival time as the watershed point, we defined several possible segments for the arrival time, and then in the framework of the cumulative prospect theory, a new function of arrival time perceived value is established. On this basis, we assume that the cumulative perceived value is a synthetic outcome in terms of the travel gain, the travel disutility and the arrival time perceived value, and then build a static network equilibrium model based on the cumulative perceived value. Furthermore, the existence and uniqueness of the equilibrium solution are examined, and the solving algorithm is also designed. Finally, the two numerical examples are conducted to analyze the effect of model parameters on the equilibrium solutions.