IDEAS home Printed from https://ideas.repec.org/h/spr/oprchp/978-3-319-55702-1_52.html
   My bibliography  Save this book chapter

The Generalized Steiner Cable-Trench Problem with Application to Error Correction in Vascular Image Analysis

In: Operations Research Proceedings 2016

Author

Listed:
  • Eric Landquist

    (Kutztown University)

  • Francis J. Vasko

    (Kutztown University)

  • Gregory Kresge

    (Kutztown University)

  • Adam Tal

    (Kutztown University)

  • Yifeng Jiang

    (Yale University)

  • Xenophon Papademetris

    (Yale University)

Abstract

The Cable-Trench Problem (CTP) is the problem of minimizing the cost to connect buildings on a campus to a central server so that each building is connected directly to the server via a dedicated underground cable. The CTP is modeled by a weighted graph in which the vertices represent buildings and the edges represent the possible routes for digging trenches and laying cables between two buildings. In this paper, we define the Generalized Steiner CTP (GSCTP), which considers the situation in which a subset of the buildings is connected to the server and also the possibility that trench costs vary because of vegetation or physical obstacles, for example. The GSCTP has several natural applications, but we will focus on its nontrivial and novel application to the problem of digitally connecting microCT scan data of a vascular network with fully automated error correction. The CTP and its variants are NP-hard. However, we show that modifications to Prim’s algorithm find nearly optimal solutions to the GSCTP efficiently.

Suggested Citation

  • Eric Landquist & Francis J. Vasko & Gregory Kresge & Adam Tal & Yifeng Jiang & Xenophon Papademetris, 2018. "The Generalized Steiner Cable-Trench Problem with Application to Error Correction in Vascular Image Analysis," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 391-397, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_52
    DOI: 10.1007/978-3-319-55702-1_52
    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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Silvia Schwarze & Eduardo Lalla-Ruiz & Stefan Voß, 2021. "Modeling the capacitated p-cable trench problem with facility costs," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 713-735, June.

    More about this item

    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:oprchp:978-3-319-55702-1_52. 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.