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Demand-Driven Line Planning with Selfish Routing

  • Malte Renken
  • Amin Ahmadi
  • Ralf Borndörfer
  • Güvenç Şahin
  • Thomas SchlechteEmail author
Conference paper
Part of the Operations Research Proceedings book series (ORP)

Abstract

Bus rapid transit systems in developing and newly industrialized countries are often operated at the limits of passenger capacity. In particular, demand during morning and afternoon peaks is hardly or even not covered with available line plans. In order to develop demand-driven line plans, we use two mathematical models in the form of integer programming problem formulations. While the actual demand data is specified with origin-destination pairs, the arc-based model considers the demand over the arcs derived from the origin-destination demand. In order to test the accuracy of the models in terms of demand satisfaction, we simulate the optimal solutions and compare number of transfers and travel times. We also question the effect of a selfish route choice behavior which in theory results in a Braess-like paradox by increasing the number of transfers when system capacity is increased with additional lines.

References

  1. 1.
    Borndörfer, R., Hoppmann, H., & Karbstein, M. (2013). A configuration model for the line planning problem. In: D. Frigioni & S. Stiller (Eds.), In: ATMOS 2013 - 13th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (Vol. 33, pp. 68–79).  https://doi.org/10.4230/OASIcs.ATMOS.2013.68.
  2. 2.
    Karbstein, M. (2016). Integrated line planning and passenger routing: connectivity and transfers. Operations Research Proceedings, 2014, 263–269.  https://doi.org/10.1007/978-3-319-28697-6_37.CrossRefGoogle Scholar
  3. 3.
    Borndörfer, R., Arslan, O., Elijazyfer, Z., Güler, H., Renken, M., Sahin, G., & Schlechte, T. (2016). Line planning on path networks with application to the istanbul metrobüs. In: Operations Research Proceedings.Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Malte Renken
    • 1
  • Amin Ahmadi
    • 2
  • Ralf Borndörfer
    • 1
  • Güvenç Şahin
    • 2
  • Thomas Schlechte
    • 3
    Email author
  1. 1.Zuse Institute BerlinBerlinGermany
  2. 2.Sabanci University, Industrial EngineeringOrhanli, Tuzla/IstanbulTurkey
  3. 3.LBW Optimization GmbHBerlinGermany

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