基于加线技术的轨道交通临客开行计划优化模型

Optimization Model of Rail Transit Passenger Operation Plan Based on the Technology of Inserting Additional Trains into Existing Timetable

基于运行图加线技术构建适于计划性临客开行的运行线铺画方法.以运力与客流匹配度最大化、对原运行图调整最小化为优化目标,考虑行车安全、临客加线位置、开行时间域等约束,构建临客运行线铺画非线性整数规划模型,并对其线性转换以提高求解效率.以北京地铁8号线某大型活动散场大客流为场景进行案例分析,结果表明:所构建方法能够在既有运行图上有效铺画临客运行线,满足不同行车密度及停站模式下的临客开行需求.建议在较高密度行车条件下不采用“空车直达”停站模式.

Based on the operation diagram technology of inserting additional trains into existing timetable,a method of laying operation lines suitable for planned passenger transportation was constructed.In order to maximize the matching degree between transportation capacity and passenger flow and minimize the adjustment of the original operation diagram,considering the constraints of traffic safety,the location of passenger line addition and the time domain of operation,a nonlinear integer programming model for passenger line paving was constructed,and its linear transformation was carried out to improve the solving efficiency.A case study was made on a large passenger flow at the end of a large-scale event on Beijing Metro Line 8.The results show that the proposed method can effectively draw the passenger-approaching line on the existing operation diagram,and can meet the passenger-approaching demand under different traffic densities and stop modes.It is suggested that the“empty train through”stop mode should not be adopted under the condition of high density driving.