Train Scheduling in High Speed Railways: Considering Competitive Effects

The railway planning problem is usually studied from two different points of view: macroscopic and microscopic. We propose a macroscopic approach for the high-speed rail scheduling problem where competitive effects are introduced. We study train frequency planning, timetable planning and rolling stock assignment problems and model the problem as a multi-commodity network flow problem considering competitive transport markets. The aim of the presented model is to maximize the total operator profit.We solve the optimization model using realistic problem instances obtained from the network of the Spanish railway operator RENFE, including other transport modes in Spain.