IDEAS home Printed from https://ideas.repec.org/h/spr/oprchp/978-3-319-00795-3_85.html
   My bibliography  Save this book chapter

Contraction Hierarchies with Turn Restrictions

In: Operations Research Proceedings 2012

Author

Listed:
  • Curt Nowak

    (Universität Hildesheim)

  • Felix Hahne

    (Universität Hildesheim)

  • Klaus Ambrosi

    (Universität Hildesheim)

Abstract

For single-pair shortest path problems, Contraction Hierarchies (CH) provide very small query times together with a very low space overhead for the graph. During a preprocessing every node is assigned a distinct rank. Queries are performed using an alternating bidirectional Dijkstra search that only expands towards higher ranked nodes. In its original version CH do not take turn restrictions (TR) into account. This may lead to illegal routes whose length may considerably differ from legal ones. Incorporating TR widens the scope of application for CH, e.g., car navigation or precise traffic simulations. A way to consider TR is to switch from a node-based to an edge-based search, implicitly allowing nodes to be settled more than once. Compared to the original CH query this increases the size of the search trees substantially. A more space efficient adaptive algorithm combining node-based with on-demand edge-based search is presented, where nodes may only be settled multiply if the encountered path towards them traverses a (possible) TR. The number of iterations in this approach is at most as high as the edge-base search. Depending on the number of TR and the average node degree in the graph our approach outperforms the edge-based search by far.

Suggested Citation

  • Curt Nowak & Felix Hahne & Klaus Ambrosi, 2014. "Contraction Hierarchies with Turn Restrictions," Operations Research Proceedings, in: Stefan Helber & Michael Breitner & Daniel Rösch & Cornelia Schön & Johann-Matthias Graf von der Schu (ed.), Operations Research Proceedings 2012, edition 127, pages 569-575, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-00795-3_85
    DOI: 10.1007/978-3-319-00795-3_85
    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:978-3-319-00795-3_85. 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.