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The railway line frequency and size setting problem

Author

Listed:
  • Alicia De-Los-Santos

    (Organización de Empresas y Economía Aplicada, Universidad de Córdoba)

  • Gilbert Laporte

    (CIRRELT and Canada Research Chair in Distribution Management)

  • Juan A. Mesa

    (Universidad de Sevilla)

  • Federico Perea

    (Universitat Politècnica de València)

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.

Suggested Citation

  • Alicia De-Los-Santos & Gilbert Laporte & Juan A. Mesa & Federico Perea, 2017. "The railway line frequency and size setting problem," Public Transport, Springer, vol. 9(1), pages 33-53, July.
    • Handle: RePEc:spr:pubtra:v:9:y:2017:i:1:d:10.1007_s12469-017-0154-2
    DOI: 10.1007/s12469-017-0154-2
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    References listed on IDEAS

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    1. Marie E. Schmidt, 2014. "Integrating Routing Decisions in Public Transportation Problems," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-9566-6, December.
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    Cited by:

    1. Canca, David & De-Los-Santos, Alicia & Laporte, Gilbert & Mesa, Juan A., 2019. "Integrated Railway Rapid Transit Network Design and Line Planning problem with maximum profit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 1-30.
    2. Hartleb, J. & Schmidt, M.E., 2019. "Railway timetabling with integrated passenger distribution," ERIM Report Series Research in Management ERS-2019-012-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    3. Hartleb, Johann & Schmidt, Marie, 2022. "Railway timetabling with integrated passenger distribution," European Journal of Operational Research, Elsevier, vol. 298(3), pages 953-966.

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