中文摘要：

建设公共电动自行车系统是有效利用资源、满足居民经济低碳出行需求的可行途径之一.文中提出了公共电动自行车网络系统的概念,并采用出行链对其进行分析.在此基础上,建立双层规划模型解决该网络系统中的租赁点选址问题.上层模型考虑政府的目标,为系统最优模型;下层模型考虑用户的目标,为用户均衡模型.上层模型采用混合粒子群优化算法求解,下层模型采用Frank-Wolfe算法求解.算例结果表明,文中算法能够同时确定站点选址和站点规模,收敛性能较好.

英文摘要：

Developing public electric bicycle systems is a feasible way to making full use of resources and meeting people’s increasing demand for low-carbon trips. This paper first proposes a public electric bicycle network system based on trip chain analysis, and then establishes a bi-level programming model to solve the station location prob-lem of such systems. In this model, the upper part considers the government^ goal for system optimization, while the lower part shows respect for system users^nterests and user equilibrium. The upper model is solved by using the hybrid particle swarm optimization algorithm and the lower one is solved by using Frank-Wolfe algorithm. Numeri-cal results show that the proposed programming model can determine both the optimal location and the size of sta-tions in the public electric bicycle network system with good convergence.