The limited endurance mileage of battery electric vehicles (BEVs) affects mode choice of commuters inevitably. To help facilitate BEV charging and improve accessibility of transit stations, the park-charge-ride (PCR) services have been implemented in some cities. This study develops a deterministic continuum equilibrium model for a monocentric city to analyze the modal choice behavior of commuters in a transportation system with BEVs and PCR services. Theoretical analysis is conducted for the model and some equilibrium properties are presented. The positive influence for setting PCR facilities is confirmed from theoretical point of view. It is also found that in the transportation systems with PCR services, a location exists that commuters living closer to CBD should choose railway as their only transportation mode. By deploying the discrete approximation approach, numerical examples are given to demonstrate the model. The impact of factors including initial state of charge of the battery electric vehicles, in carriage crowding cost of the railway transit are studied via numerical analysis.

中文翻译：

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具有电动汽车和停车充电服务的线性单中心城市的模态选择分析

纯电动汽车（BEV）有限的续航里程不可避免地影响了通勤者的出行方式选择。为了帮助促进 BEV 充电并改善公交站点的可达性，一些城市已经实施了停车充电 (PCR) 服务。本研究为单中心城市开发了一个确定性连续统均衡模型，以分析具有 BEV 和 PCR 服务的交通系统中通勤者的模式选择行为。对该模型进行了理论分析，并给出了一些平衡特性。从理论上证实了设置 PCR 设施的积极影响。还发现，在有PCR服务的交通系统中，存在一个位置，居住在CBD附近的通勤者应该选择铁路作为他们唯一的交通方式。通过部署离散近似方法，给出了数值例子来演示模型。通过数值分析研究了纯电动汽车初始荷电状态、轨道交通拥挤成本等因素的影响。