IDEAS home Printed from https://ideas.repec.org/a/spr/snopef/v1y2020i3d10.1007_s43069-020-00022-3.html
   My bibliography  Save this article

A Combinatorial Solution for Bridge and Torch Problem

Author

Listed:
  • Marilena Jianu

    (Technical University of Civil Engineering of Bucharest)

  • Mihail Jianu

    (University of Oxford)

  • Sever Angel Popescu

    (Technical University of Civil Engineering of Bucharest)

Abstract

In this note we give a combinatorial solution to the general case of the puzzle known as “bridge and torch problem”. It is about finding the shortest time needed for n people to cross a bridge knowing that at most two persons can walk together on the bridge (at the speed of the slowest) and, because it is dark, a torch is needed for each crossing (and they have only one torch). The puzzle can be seen (and solved) as a discrete optimization problem.

Suggested Citation

  • Marilena Jianu & Mihail Jianu & Sever Angel Popescu, 2020. "A Combinatorial Solution for Bridge and Torch Problem," SN Operations Research Forum, Springer, vol. 1(3), pages 1-7, September.
    • Handle: RePEc:spr:snopef:v:1:y:2020:i:3:d:10.1007_s43069-020-00022-3
    DOI: 10.1007/s43069-020-00022-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s43069-020-00022-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s43069-020-00022-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Keywords

    Discrete optimization; Integer programming;

    Statistics

    Access and download statistics

    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:snopef:v:1:y:2020:i:3:d:10.1007_s43069-020-00022-3. 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.