Multi-period railway line planning for integrated passenger-freight transportation
Abstract
This paper addresses a multi-period line planning problem in an integrated passenger-freight railway system, aiming to maximize profit while serving passengers and freight using a combination of dedicated passenger trains, dedicated freight trains, and mixed trains. To accommodate demand with different time sensitivities, we develop a period-extended change&go-network that tracks the paths taken by passengers and freight. The problem is formulated as a path-based mixed integer programming model, with the linear relaxation solved using column generation. Paths for passengers and freight are dynamically generated by solving pricing problems defined as elementary shortest-path problems with duration constraints. We propose two heuristic approaches: price-and-branch and a diving heuristic, with acceleration strategies, to find integer feasible solutions efficiently. Computational experiments on the Chinese high-speed railway network demonstrate that the diving heuristic outperforms the price-and-branch heuristic in both computational time and solution quality. Additionally, the experiments highlight the benefits of integrating freight, the advantages of multi-period line planning, and the impact of different demand patterns on line operations.
Keywords
Cite
@article{arxiv.2409.08256,
title = {Multi-period railway line planning for integrated passenger-freight transportation},
author = {Wanru Chen and Rolf N. van Lieshout and Dezhi Zhang and Tom Van Woensel},
journal= {arXiv preprint arXiv:2409.08256},
year = {2024}
}