@article{ref1,
title="Timetable optimization for a moving block system",
journal="Journal of rail transport planning and management",
year="2022",
author="Schlechte, Thomas and Borndörfer, Ralf and Denißen, Jonas and Heller, Simon and Klug, Torsten and Küpper, Michael and Lindner, Niels and Reuther, Markus and Söhlke, Andreas and Steadman, William",
volume="22",
number="",
pages="e100315-e100315",
abstract="We present an optimization model which is capable of routing and ordering trains on a microscopic level under a moving block regime. Based on a general timetabling definition (GTTP) that allows the plug in of arbitrarily detailed methods to compute running and headway times, we describe a layered graph approach using velocity expansion, and develop a mixed integer linear programming formulation. Finally, we present promising results for a German corridor scenario with mixed traffic, indicating that applying branch-and-cut to our model can solve reasonably sized instances with up to a hundred trains to optimality.<p /> <p>Language: en</p>",
language="en",
issn="2210-9706",
doi="10.1016/j.jrtpm.2022.100315",
url="http://dx.doi.org/10.1016/j.jrtpm.2022.100315"
}