Linear Programming Model for Single-line Passenger Flow Control during Subway Peak Hours

For the purpose of improving the capacity utilization rate of rail transit lines, combined with the expansion network of rail transit space-time passenger flow, a linear programming model for subway peak single-line passenger flow control with the goal of maximizing passenger turnover is established. The model can be directly solved using the Lpsolve solver. In the solution, the OD passenger flow and passenger flow control data of each train and each station can be obtained separately. Taking the morning peak passenger flow data of a certain line of Shenzhen Metro as an example, the passenger flow control method of each station in each period when the passenger flow of the whole line is maximized is solved. The calculation results show that the increase of the maximum number of waiting trains can increase the passenger turnover and passenger flow in the line, and can reduce the number of stations and the rate of flow control in the same period.