The railway line frequency and size setting problem
Document Type
Journal Article
Publication Date
2017
Subject Area
mode - rail, planning - methods, planning - network design, operations - capacity, operations - frequency, economics - profitability
Keywords
Railway line planning, Mathematical programming, Heuristics
Abstract
The problem studied in this paper takes as input data a set of lines forming a railway network, and an origin–destination (OD) matrix. The OD pairs may use either the railway network or an alternative transportation mode. The objective is to determine the frequency/headway of each line as well as its number of carriages, so that the net profit of the railway network is maximized. We propose a mixed integer non-linear programming formulation for this problem. Because of the computational intractability of this model, we develop four algorithms: a mixed integer linear programming (MIP) model, a MIP-based iterative algorithm, a shortest-path based algorithm, and a local search. These four algorithms are tested and compared over a set of randomly generated instances. An application over a case study shows that only the local search heuristic is capable of dealing with large instances.
Rights
Permission to publish the abstract has been given by SpringerLink, copyright remains with them.
Recommended Citation
De-Los-Santos, A., Laporte, G., Mesa, J.A., & Perea, F. (2017). The railway line frequency and size setting problem. Public Transport, Vol. 9, pp. 33-53.
