Operation adjustment method and system for metro trains under the condition of train out of service

An operation adjustment method for metro trains under the condition of train out of service, comprising:

• acquiring, when a train has fault, basic parameters of a metro system, information of the train out of service and information of online normal running trains, wherein the basic parameters of the metro system comprise topological metro line information and a planned operation diagram;
• the planned operation diagram comprises train timetables and a rolling stock circulation plan;
• the information of the train out of service comprises a faulty train service, train fault time, predicted time to stop service and a fault position;
• and the information of the online normal running trains comprises train service numbers, train velocities when the fault occurs and positions when the fault occurs;
• determining, according to the basic parameters of the metro system, the faulty train service out of service and the planned operation diagram, a follow-up train service set of the faulty train service and a current train timetable for each of follow-up train services in the follow-up train service set, wherein the follow-up train services comprise tracking train services of the faulty train and planned train services not started;
• adjusting, according to the predicted time to stop service of the train out of service, with a minimum headway as a constraint and a minimal deviation from the train timetables as a goal, the current train timetable for each follow-up train service in the follow-up train service set to obtain an adjusted train timetable for each follow-up train service in the follow-up train service set, and determining initial adjusted train timetables;
• determining, according to the basic parameters of the metro system and the train fault time of the train out of service, earliest time that backup rolling stocks can run to the main line in the metro system;
• canceling, according to the adjusted train timetable for each follow-up train service in the follow-up train service set, the earliest time that backup rolling stocks can run to the main line, all planned train services to be executed after the fault, and the rolling stock circulation plan of the planned operation diagram, planned train services that are not executed according to the planned train timetables in the planned operation diagram, to obtain a set of planned train services to be canceled, and determining rolling stocks for executing remaining planned train services in the planned operation diagram, to obtain an adjusted rolling stock circulation plan;
• adjusting the initial adjusted train timetables according to a planned train timetable for each planned train service in the set of planned train services to be canceled, to obtain final adjusted train timetables;
• and
• generating an adjusted operation diagram according to the adjusted rolling stock circulation plan and the final adjusted train timetables;
• wherein adjusting, according to the predicted time to stop service of the train out of service, with the minimum headway as a constraint and the minimal deviation from the planned train timetable as the goal, the current train timetable for each follow-up train service in the follow-up train service set to obtain the adjusted train timetable for each follow-up train service in the follow-up train service set, comprises:
• determining, based on the speed curves of running levels in the onboard automatic train operation (ATO) system by using an equation
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• running time of each follow-up train service in the follow-up train service set between two adjacent subsequent stations behind a position when the fault occurs;
• determining, by using an equation
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• dwelling time of each follow-up train service in the follow-up train service set at each follow-up station behind the position when the fault occurs;
• and
• adjusting, according to the predicted time to stop service of the train out of service, running time of each follow-up train service between subsequent stations, the dwelling time of each follow-up train service at each follow-up station and a train velocity of each follow-up train service when the fault occurs, with the minimum headway as a constraint and the minimal deviation from the planned train timetable as the goal, the current train timetable for each follow-up train service in the follow-up train service set to obtain the adjusted train timetable for each follow-up train service in the follow-up train service set, and
• wherein, rk,n is running time of a follow-up train service k between a follow-up station n−1 and a follow-up station n;
• δk,nl indicates whether the follow-up train service k selects an identifier with a level l in an interval between the follow-up station n−1 and the follow-up station n, and when the follow-up train service k runs at the level l in the interval, then δk,nl=1, or when the follow-up train service k does not run at the level l in the interval, δk,nl=0;
• rk,nl is time required by the follow-up train service k to run at the level l in the interval between the follow-up station n−1 and the follow-up station n;
• dk,n is dwelling time of the follow-up train service k at the follow-up station n;
• Pk,nwait is a number of passengers waiting on a platform when the follow-up train service k arrives at the follow-up station n;
• Ck,nremain is a remaining passenger capacity when the follow-up train service k arrives at the follow-up station n;
• and λ is a passenger boarding rate.