ABSTRACT Since regret theory has been introduced to model travellers’ route choices, various random regret minimization (RRM) models have been developed for the choice situation of multiple alternatives and multiple attributes. There are two approaches dealing with multi-objective optimisations: one is to combine different attributes into a single additive one and the other is to consider each attribute separately. The existing RRM models adopt the first approach to measure regret. However, travellers might not always trade off attributes in such a compensatory way. In this paper, under the assumption that travellers might consider attributes separately, we develop two new regret-based stochastic user equilibrium (SUE) models by incorporating the RRM model and the hybrid RUM-RRM model into a non-compensatory multi-objective framework. The majority of the second approaches dealing with multiple objectives generally provide a feasible solution set caused by conflicts among objectives. Different from that, the two new models provide probabilistic choice to each route, based on which a single SUE path flow pattern would be attained. Meanwhile, the compromise effect which is widely seen in consumer behaviour can be explained by the two new models. The equivalent variational inequality problems for the proposed models and a path-based algorithm using the method of successive averages have been given. Numerical examples are further conducted to illustrate the properties of the proposed models and the effectiveness of the algorithm.

中文翻译：

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基于遗憾的多目标路径选择模型和随机用户均衡：一种非补偿方法

摘要 自从后悔理论被引入到模型旅行者的路线选择中，各种随机后悔最小化（RRM）模型已经被开发用于多选项和多属性的选择情况。有两种处理多目标优化的方法：一种是将不同的属性组合成一个单一的附加属性，另一种是分别考虑每个属性。现有的 RRM 模型采用第一种方法来衡量后悔。然而，旅行者可能并不总是以这种补偿方式来权衡属性。在本文中，在旅行者可能单独考虑属性的假设下，我们通过将 RRM 模型和混合 RUM-RRM 模型合并到非补偿多目标框架中，开发了两种新的基于遗憾的随机用户均衡 (SUE) 模型。大多数处理多个目标的第二种方法通常提供由目标之间的冲突引起的可行解决方案集。与此不同的是，这两个新模型为每条路线提供了概率选择，在此基础上将获得单个 SUE 路径流型。同时，消费者行为中普遍存在的妥协效应可以用这两种新模型来解释。给出了所提出模型的等效变分不等式问题和使用连续平均法的基于路径的算法。进一步进行数值例子来说明所提出的模型的性质和算法的有效性。与此不同的是，这两个新模型为每条路线提供了概率选择，在此基础上将获得单个 SUE 路径流型。同时，消费者行为中普遍存在的妥协效应可以用这两种新模型来解释。给出了所提出模型的等效变分不等式问题和使用连续平均法的基于路径的算法。进一步进行数值例子来说明所提出的模型的性质和算法的有效性。与此不同的是，这两个新模型为每条路线提供了概率选择，在此基础上将获得单个 SUE 路径流型。同时，消费者行为中普遍存在的妥协效应可以用这两种新模型来解释。给出了所提出模型的等效变分不等式问题和使用连续平均法的基于路径的算法。进一步进行数值例子来说明所提出的模型的性质和算法的有效性。给出了所提出模型的等效变分不等式问题和使用连续平均法的基于路径的算法。进一步进行数值例子来说明所提出的模型的性质和算法的有效性。给出了所提出模型的等效变分不等式问题和使用连续平均法的基于路径的算法。进一步进行数值例子来说明所提出的模型的性质和算法的有效性。