Li Tingting, Xu Wangtu
IEEE Trans Cybern. 2022 Jan;52(1):459-471. doi: 10.1109/TCYB.2020.2973358. Epub 2022 Jan 11.
The quality of transportation between cities depends on the accessibility of intercity passenger transportation (IPT) facilities, which is closely related to regional spatial development plans. Such plans aim to define an urban system (i.e., the level of hierarchy to assign to cities of the region under study) with a class of facilities corresponding to each level of hierarchy. We propose optimization models to help in the decision making in urban system planning (USP) problems. Four types of service networks of USP problems are proposed. Multiperiod, multilevel location models with fuzzy IPT demands are presented to minimize the cost of total demand-weighted travel time and IPT service capacity planning. The IPT demands are denoted by triangular fuzzy numbers. The models are converted to linear programming models using the theory of fuzzy numbers. A case study is provided to validate the effectiveness of the proposed model. The comparison results show that the fuzzy method is effective in handling the uncertainty of demand.
城市间的交通质量取决于城际客运（IPT）设施的可达性，而这与区域空间发展规划密切相关。此类规划旨在定义一个城市体系（即赋予所研究区域内城市的层级水平），并为每个层级水平配备一类相应的设施。我们提出优化模型以辅助城市体系规划（USP）问题的决策。提出了USP问题的四种服务网络类型。给出了具有模糊IPT需求的多周期、多层次选址模型，以最小化总需求加权出行时间成本和IPT服务容量规划。IPT需求由三角模糊数表示。利用模糊数理论将模型转换为线性规划模型。提供了一个案例研究以验证所提模型的有效性。比较结果表明，模糊方法在处理需求的不确定性方面是有效的。
