城市轨道交通列车交路开行方案优化研究

Research on Optimization for Train Plan of Urban Rail Transit

根据城市轨道交通客流分布不均衡的特征,结合大小交路运营组织特点,以乘客出行成本和运输企业运营成本最小为目标,考虑断面满载率、列车运用数量、列车追踪间隔及最小发车间隔等约束,建立城市轨道交通列车大小交路开行方案双目标非线性整数优化模型,采用线性加权法将双目标模型转化为单目标模型后应用遗传算法进行求解,案例分析验证模型的效果,为运输企业行车组织提供理论参考,并对小交路区段折返点、区段客流比重进行灵敏度分析。结果表明:开行大小交路可以有效提高线路运输效率,减少列车运用数,显著提高轨道交通运营服务水平。

According to the uneven temporal and spatial distribution of passenger flow and the characteristics of the long and short routing mode operation, aiming at the least passenger travel cost and the operating cost of the enterprise, based on long & short routing mode, a multi-objective nonlinear integer optimization model of train plans for urban rail transit is established in this paper. The constraints of the model are set as the shortest headway time interval of the train, the total number of rolling stocks, the full load rate and the least frequencies. The double-objective model is transformed into a single-objective model by linear weighted method, and the genetic algorithm is designed to solve the problem. In a case, the validity of the model is verified, and the sensitivities of positions of turn-back stations and passenger flow proportion in short-turn sections are also analyzed. The results show that the long and short routing mode can significantly improve the efficiency of rail transit and reduce the total number of rolling stocks. This research provides a theoretical basis for the operation enterprises of urban rail transit to arrange train organization.