考虑快慢车运营模式的地铁线路纵断面优化

Vertical alignment optimization of subway lines considering the express/local operation modes

针对地铁线路纵断面设计方案会同时影响建设期工程投资与运营期列车能耗问题,提出运营快慢车模式地铁线路的纵断面优化方法.首先,在已知线路车站水平位置与平面设计方案的情况下,考虑地铁设计规范、施工条件与列车运行等约束,构建以建设投资与列车能耗总成本之和最小为目标的纵断面优化模型,求解线路各中间站高程与变坡点位置.其次,设计基于间接实数编码的遗传算法和变邻域搜索算法的混合策略进行求解.最后,以国内某运营快慢车的地铁线路进行分析.结果表明:本文模型优化方案相较于实际纵断面设计方案可同时降低线路建设成本和列车能耗成本,总成本节约达7.3%;当快慢车地铁线路的慢车开行数量较多时,采用高站位、陡坡的形式可大幅节约线路建设与列车能耗成本.

To address the problem that the design scheme of the vertical alignment for subway lines affects both the construction investment and the train energy consumption during the operation period,a vertical alignment optimization method for the subway line considering the express and local operations modes is proposed.Firstly,when station horizontal location and track alignment are known,this paper constructs a vertical alignment optimization model that aims to minimize the sum of construction costs and train energy consumption.The model considers constraints including the subway design specifications,construction conditions,and train operation constraints to optimize the elevation and variable slope point location of each intermediate station of the line.Secondly,a hybrid strategy based on indirect real number coding genetic algorithm and variable neighborhood search algorithm is designed for the solution.Finally,the analysis is performed using a subway line with express and local trains in China.The results show that the model optimization scheme in this paper can reduce both the line construction cost and the train energy consumption compared with the original vertical alignment design,with a total cost saving of 7.3%.When the number of slow trains on express/local subway lines is high,the use of high stations and steep slopes can significantly save the costs of line construction and train energy consumption.