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Demand-Driven Line Planning with Selfish Routing

In: Operations Research Proceedings 2017

Author

Listed:
  • Malte Renken

    (Zuse Institute Berlin)

  • Amin Ahmadi

    (Sabanci University, Industrial Engineering)

  • Ralf Borndörfer

    (Zuse Institute Berlin)

  • Güvenç Şahin

    (Sabanci University, Industrial Engineering)

  • Thomas Schlechte

    (LBW Optimization GmbH)

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.

Suggested Citation

  • Malte Renken & Amin Ahmadi & Ralf Borndörfer & Güvenç Şahin & Thomas Schlechte, 2018. "Demand-Driven Line Planning with Selfish Routing," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 687-692, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_91
    DOI: 10.1007/978-3-319-89920-6_91
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    Cited by:

    1. Tian, Qingyun & Wang, David Z.W. & Lin, Yun Hui, 2021. "Service operation design in a transit network with congested common lines," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 81-102.

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