This paper develops a novel household-oriented activity-based mixed-equilibrium model for estimating individual and household activity–travel choices in multimodal transportation networks with interactions between private car and public transit modes. In the novel model, household members with heterogeneous errors of perception on the time-dependent utility of different activity types make daily joint/solo activity–travel choices in a mixed-equilibrium manner, which maximizes either perceived household utility or perceived individual utility. A logit-based stochastic choice model is developed to capture the mixed equilibrium with heterogeneous errors of perception and used to predict the choices of alternative joint activity–travel paths (JATPs) on a supernetwork platform. Based on this stochastic JATP choice model, the mixed-equilibrium model is formulated as an equivalent variational inequality (VI) problem and solved using a modified diagonalization method. This converts the time-dependent activity–travel scheduling problem into an equivalent static traffic assignment problem on JATPs. The conditions required for the existence and uniqueness of a solution to the equivalent VI problem in terms of a JATP flow pattern are also identified. Numerical examples are provided to illustrate the model’s merits and its applications for examining the effect of the coronavirus disease 2019 (COVID-19) pandemic.

本文开发了一种新的以家庭为导向的基于活动的混合均衡模型，用于估计多式联运网络中个人和家庭活动 - 旅行选择，以及私家车和公共交通方式之间的相互作用。在新模型中，对不同活动类型的时间相关效用存在异质性认知错误的家庭成员以混合均衡方式进行日常联合/单独活动-旅行选择，从而最大化感知的家庭效用或感知的个人效用。开发了一种基于 logit 的随机选择模型来捕捉具有异构感知误差的混合均衡，并用于预测超网络平台上替代联合活动 - 旅行路径 (JATP) 的选择。基于这个随机 JATP 选择模型，混合均衡模型被表述为等效变分不等式 (VI) 问题，并使用改进的对角化方法求解。这将时间相关的活动-旅行调度问题转换为 JATP 上等效的静态交通分配问题。还确定了 JATP 流模式中等效 VI 问题的解的存在性和唯一性所需的条件。提供了数值示例来说明该模型的优点及其在检查 2019 年冠状病毒病 (COVID-19) 大流行的影响方面的应用。还确定了 JATP 流模式中等效 VI 问题的解的存在性和唯一性所需的条件。提供了数值示例来说明该模型的优点及其在检查 2019 年冠状病毒病 (COVID-19) 大流行的影响方面的应用。还确定了 JATP 流模式中等效 VI 问题的解的存在性和唯一性所需的条件。提供了数值示例来说明该模型的优点及其在检查 2019 年冠状病毒病 (COVID-19) 大流行的影响方面的应用。