Research Article

Joint Optimal Train Rescheduling and Passenger Flow Control for Speed Limit and High-Demand Scenarios of Urban Rail Transits

Table 1

Summary of some closely related studies on operation management.

PublicationScenarioType of modelObjectiveSolution approach

[4]Line, disruption, and huge passenger demandNonlinear programmingTrain operation returns to original timetable and waiting time of passengers outside stationsIterative metaheuristic approach
[5]Line, single-point disturbance, overloaded passengers, and train skip-stopping reschedulingLinear bilevel programmingTotal train delay (upper-level model) and number of passengers served (lower-level model)Sensitivity analysis-based algorithm
[32]Rush hours, platform jam, inbound passenger flow control, and timetable regulation at transfer stationNonlinear programmingAverage waiting time of both inbound and transfer passengersImproved genetic algorithm
[33]Line, single-point disturbance, and crowded situationsMarkov decision processTotal delay of all the disturbed trains with minimal impact on both operation costs and service qualityApproximation dynamic programming
[34]High-frequency line, single-point disturbance, and overloaded passengersQuadratic programmingTotal train delayModel predictive control and MATLAB optimization tool box
[35]Network, single-point disturbance, and high demandMixed-integer nonlinear programmingPunctuality and regularity in train operations, the passenger waiting time, the passenger flow burden of platforms, and passenger flow control costsIterative nonlinear programming approach and Gurobi solver
This paperLine, high demand, and train speed limit (multisection)Mixed-integer quadratic programmingTotal train delay and number of passengers servedTwo-stage approach and Gurobi solver