Skip to main content
SpringerLink
Log in

Implementing the Dantzig-Fulkerson-Johnson algorithm for large traveling salesman problems

  • Published:
Mathematical Programming Submit manuscript

Abstract.

 Dantzig, Fulkerson, and Johnson (1954) introduced the cutting-plane method as a means of attacking the traveling salesman problem; this method has been applied to broad classes of problems in combinatorial optimization and integer programming. In this paper we discuss an implementation of Dantzig et al.'s method that is suitable for TSP instances having 1,000,000 or more cities. Our aim is to use the study of the TSP as a step towards understanding the applicability and limits of the general cutting-plane method in large-scale applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Algorithms and Optimization Department, AT&T Labs – Research, Florham Park, NJ 07932, USA, , , , , , US

    David Applegate

  2. Computational and Applied Mathematics, Rice University, Houston, TX 77005, USA, , , , , , US

    Robert Bixby

  3. Department of Computer Science, Rutgers University, Piscataway, NJ 08854, USA, , , , , , US

    Vašek Chvátal

  4. Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA, , , , , , US

    William Cook

Authors
  1. David Applegate
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert Bixby
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Vašek Chvátal
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. William Cook
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: December 6, 2002 / Accepted: April 24, 2003 Published online: May 28, 2003

RID="*"

ID="*" Supported by ONR Grant N00014-03-1-0040

Rights and permissions

Reprints and permissions

About this article

Cite this article

Applegate, D., Bixby, R., Chvátal, V. et al. Implementing the Dantzig-Fulkerson-Johnson algorithm for large traveling salesman problems. Math. Program., Ser. B 97, 91–153 (2003). https://doi.org/10.1007/s10107-003-0440-4

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10107-003-0440-4

Keywords

Search

Navigation