Abstract
A train scheduling method to minimize the trip time of passengers under restricted electrical energy is investigated in this paper. This method assumes that the consumed electrical energy of one railway artery, all the vehicles of which are local trains, is restricted to a certain value. The endogenous variables of this method are the running time for each interstation, the consumed energy for each interstation, and the number of vehicles. The solution depends on the Kuhn-Tucker theorem on the constraints of both the number of vehicles and the total amount of consumed energy per unit time. This method enables us to determine the running time for each interstation and the number of vehicles according to the solution, which gives priority to small changes in the running time in interstations over decreasing the number of vehicles. Numerical examples verify the effect of reducing the time increment caused by the restriction in some artery without reducing the number of vehicles. The results also imply that the effect on passengers of each energy-saving method differs for every traffic artery.
