[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/h/spr/oprchp/978-3-319-89920-6_5.html
   My bibliography  Save this book chapter

Methodological Advances and New Formulations for Bilevel Network Design Problems

In: Operations Research Proceedings 2017

Author

Listed:
  • Pirmin Fontaine

    (Université du Québec à Montréal)

Abstract
This is a summary of the dissertation of the author (Fontaine, Methodological Advances and New Formulations for Bilevel Network Design Problems, 2016) [12]. We propose a Benders decomposition algorithm to solve discrete-continuous bilevel problems to optimality. Using the underlying problem structure, the convergence is further improved by using the multi-cut version or pareto-optimal cuts. Numerical studies on existing problems from the literature (the Discrete Network Design Problem, the Decentralized Facility Selection Problem and the Hazmat Transport Network Design Problem) show run time improvements of more than 90% compared to the mixed-integer linear program.Moreover, the Discrete Network Design Problem is extended to a multi-period model for traffic network maintenance planning. We further introduce a population-based risk definition and extend the Hazmat Transport Network Design Problem to a multi-mode model to fairly distribute risk among the population.The numerical results show a better distribution of risk compared to classical models in the literature and a convex relation between risk equilibration and minimization.

Suggested Citation

  • Pirmin Fontaine, 2018. "Methodological Advances and New Formulations for Bilevel Network Design Problems," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 31-36, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_5
    DOI: 10.1007/978-3-319-89920-6_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:oprchp:978-3-319-89920-6_5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.