考虑出行者损失厌恶的后悔随机用户均衡模型

A Regret-based Stochastic User Equilibrium Model Considering Travelers' Loss Aversion

在经典随机后悔最小化模型的基础上,通过引入出行者获益损失的不对称偏好,建立了考虑出行者损失厌恶的属性水平的后悔函数及基于Logit形式的随机用户均衡模型.在提出的属性水平的后悔函数中,等尺度的获益和损失所产生的欣喜和后悔的差异,受后悔欣喜偏好参数和出行者损失厌恶共同影响.此外,与上述随机用户均衡模型等价的变分不等式问题被给出,并用相继平均法求解.最后,用1个算例网络来验证所提出模型的合理性和算法的可行性.结果表明,出行者的损失厌恶对其路径选择行为具有较大的影响,并且随着损失厌恶程度的增大,出行者更倾向于选择最短路径.

Based on the classical random regret minimization model,this paper develops a new attribute level regret function by introducing travelers’loss aversion and proposes Logit-based stochastic user equilibrium model.In the proposed regret function,the difference between the regret generated by a loss and the rejoice generated by a gain with equal size is jointly affected by the taste parameter reflecting the relative importance of the regret and rejoice and loss aversion of travelers.In addition,the equivalent variational inequality problem of the proposed stochastic user equilibrium is given and the method of successive average is applied to solve it.Finally,a simple example network is used to prove the reasonability of the model and the feasibility of the algorithm.The results show that travelers’loss aversion has a great impact on route choice behavior.Moreover,travelers will be more inclined to choose the shortest route as the degree of the loss aversion increases.