This paper examines the morning commuting flow patterns in a many-to-one public transit line. Multi-class commuters with different degrees of sensitivity towards crowding are considered. At user equilibrium, trains arriving at the destination at approximately the work start time are found to be either more or less congested at the intermediate stations, depending on the spatial distribution of commuter class at each station. In addition, the system optimal crowding fare is found to be train-dependent and may fluctuate over time at each station. Finally, the theoretical properties of morning commuting flow patterns and crowding fare are illustrated through numerical examples.

本文研究了多对一公共交通线路中的早上通勤流型。考虑对拥挤程度不同的多班通勤者。在用户平衡状态下，大约在工作开始时间到达目的地的火车在每个中间站都或多或少地拥挤，这取决于每个站上通勤班级的空间分布。另外，发现系统的最佳拥挤票价是取决于火车的，并且可能在每个车站随时间波动。最后，通过数值算例说明了上下班交通方式和拥挤票价的理论特性。