In the traffic assignment problem for predicting traffic flow patterns in a transportation network, it is important to account for route overlap and non-identical perception variance in route choice analysis. In this study, we establish a novel route choice model, named the paired combinatorial weibit (PCW) model, to capture the route overlap and route-specific perception variance. The PCW model retains a closed-form probability solution, which allows the development of an equivalent mathematical programming (MP) formulation for the PCW-based stochastic user equilibrium (PCW-SUE) model. Specifically, we propose two equivalent MP formulations for modeling the fixed demand (FD) and elastic demand (ED), named PCW-SUE-FD and PCW-SUE-ED, respectively. The PCW-SUE-ED model can address the abovementioned two issues in route choice for the FD scheme, but also can consider the effect level-of-service (LOS) in travel choice for the ED scheme. The equivalency and uniqueness of the PCW-SUE-FD and PCW-SUE-ED models are rigorously proved. In addition, a path-based partial linearization algorithm combined with a self-regulated averaging line search strategy is developed to solve the two SUE models. Numerical results are presented to illustrate the features of the PCW-SUE-FD and PCW-SUE-ED models and applicability of the solution algorithm to a real transportation network.

在预测交通网络中交通流模式的交通分配问题中，在路线选择分析中考虑路线重叠和不相同的感知方差非常重要。在本研究中，我们建立了一种新颖的路线选择模型，称为配对组合weibit（PCW）模型，以捕获路线重叠和特定路线的感知方差。PCW 模型保留了封闭式概率解，允许为基于 PCW 的随机用户均衡 (PCW-SUE) 模型开发等效的数学规划 (MP) 公式。具体来说，我们提出了两个等效的 MP 公式来建模固定需求（FD）和弹性需求（ED），分别命名为 PCW-SUE-FD 和 PCW-SUE-ED。PCW-SUE-ED模型可以解决FD方案中路径选择的上述两个问题，同时也可以考虑ED方案出行选择中的服务水平(LOS)的影响。严格证明了PCW-SUE-FD和PCW-SUE-ED模型的等价性和唯一性。此外，还开发了一种基于路径的部分线性化算法与自调节平均线搜索策略相结合来求解这两个SUE模型。数值结果说明了 PCW-SUE-FD 和 PCW-SUE-ED 模型的特征以及求解算法对实际交通网络的适用性。