Mixed Integer Nonlinear Optimization Model to Coordinate Passenger Inflow Control with Train Skip-Stopping on an Over-Saturated Metro Line

In order to reduce accident risks when the density of passengers waiting at platforms exceeds its critical value and better match between the passenger demand and the traffic capacity, an effective method to coordinated passenger inflow control with train skip-stopping on an over-saturated metro line is proposed in this paper. Through considering the passenger demand characteristics and train operation conditions, a mixed integer nonlinear programming model with 0-1 decision variables is presented to minimize the total travel time including the passengers in-train time and waiting time at the stations. The sequential iterative convex programming (ICP) approaches are designed to search for high-quality solutions. Finally, taking Guangzhou Metro Line 8 as a number example, the rationality of the model and effectiveness of the algorithm are verified.