基于灵活编组的轨道交通列车开行方案优化方法

Optimization method for train plan of urban rail transit based on the flexible length of train formation

针对城市轨道交通全日客流时间分布不均衡特性下的列车开行方案优化问题,从乘客广义出行成本和企业运营成本角度,考虑列车满载率对牵引能耗成本的影响,利用数学规划方法构建基于灵活编组模式下的多目标列车开行方案优化模型,并提出四阶段求解算法.以某城市轨道交通线路为对象进行案例分析,对比传统固定编组列车开行方案,基于灵活编组的列车开行方案使乘客广义出行费用和企业运营成本分别减少了14.6%和11.0%.结果表明:该方法能有效实现既有固定编组条件下,列车开行方案难以达到的乘客出行费用和企业运营成本双赢目标,可为我国城市轨道交通新型运输组织方案的制定提供新方法.

Based on the flexible length of train formation,the optimization problem of train plan under the disproportionally temporal distribution of passenger flow was studied for urban rail transit. To reduce the passenger travel costs and enterprise operation costs,considering the influence of train load ratio on the cost of traction energy consumption,the optimization model of multi-objective programming based on flexible train grouping mode was constructed by using mathematical programming method. And a four-phase solution algorithm was also proposed. Finally a case study was done. Compared with the traditional train plan of fixed trains’ length,the passenger generalized travel costs and enterprise operating costs were respectively reduced by 14. 6% and 11. 0% by this optimization train plan. The results suggested that our approach can more effectively achieve the win-win goal of decreasing passengers generalized travel costs and enterprise operation costs.