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Mathematical formulations for the bimodal bus-pedestrian social welfare network design problem

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  • De-Los-Santos, Alicia
  • Canca, David
  • Barrena, Eva

Abstract

We face the problem of designing a bus transit network, locating the most convenient bus stops and defining the set of bus lines without considering an a priori set of candidate lines. In order to model the problem, we consider a bimodal network composed of two layers, each one corresponding to a different transportation mode: pedestrian and bus. We propose two exact formulations and compare them by means of the ϵ-constraint method, thus obtaining a set of efficient solutions that simultaneously consider the total user travel time (composed of in-bus travel time, waiting time, walking time and transfer time) and service operator objectives. Finally, the best formulation is tested in a real case scenario.

Suggested Citation

  • De-Los-Santos, Alicia & Canca, David & Barrena, Eva, 2021. "Mathematical formulations for the bimodal bus-pedestrian social welfare network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 145(C), pages 302-323.
    • Handle: RePEc:eee:transb:v:145:y:2021:i:c:p:302-323
    DOI: 10.1016/j.trb.2021.01.010
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    Cited by:

    1. David Canca & Belén Navarro-Carmona & Gabriel Villa & Alejandro Zarzo, 2023. "A Multilayer Network Approach for the Bimodal Bus–Pedestrian Line Planning Problem," Mathematics, MDPI, vol. 11(19), pages 1-36, October.
    2. Abdulkerim Benli & İbrahim Akgün, 2023. "A Multi-Objective Mathematical Programming Model for Transit Network Design and Frequency Setting Problem," Mathematics, MDPI, vol. 11(21), pages 1-23, October.
    3. Javier Durán-Micco & Pieter Vansteenwegen, 2022. "A survey on the transit network design and frequency setting problem," Public Transport, Springer, vol. 14(1), pages 155-190, March.

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