IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v145y2003i3p557-568.html
   My bibliography  Save this article

Differential approximation results for the traveling salesman problem with distances 1 and 2

Author

Listed:
  • Monnot, Jerome
  • Paschos, Vangelis Th.
  • Toulouse, Sophie

Abstract

No abstract is available for this item.

Suggested Citation

  • Monnot, Jerome & Paschos, Vangelis Th. & Toulouse, Sophie, 2003. "Differential approximation results for the traveling salesman problem with distances 1 and 2," European Journal of Operational Research, Elsevier, vol. 145(3), pages 557-568, March.
    • Handle: RePEc:eee:ejores:v:145:y:2003:i:3:p:557-568
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(02)00222-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    References listed on IDEAS

    as
    1. Christos H. Papadimitriou & Mihalis Yannakakis, 1993. "The Traveling Salesman Problem with Distances One and Two," Mathematics of Operations Research, INFORMS, vol. 18(1), pages 1-11, February.
    2. Eitan Zemel, 1981. "Measuring the Quality of Approximate Solutions to Zero-One Programming Problems," Mathematics of Operations Research, INFORMS, vol. 6(3), pages 319-332, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Monnot, Jerome, 2005. "Approximation algorithms for the maximum Hamiltonian path problem with specified endpoint(s)," European Journal of Operational Research, Elsevier, vol. 161(3), pages 721-735, March.
    2. Federico Della Croce, 2016. "MP or not MP: that is the question," Journal of Scheduling, Springer, vol. 19(1), pages 33-42, February.
    3. Martijn Ee & René Sitters, 2020. "The Chinese deliveryman problem," 4OR, Springer, vol. 18(3), pages 341-356, September.
    4. Wenkai Dai & Yongjie Yang, 2019. "Reoptimization of minimum latency problem revisited: don’t panic when asked to revisit the route after local modifications," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 601-619, February.
    5. Marie Coffin & Matthew J. Saltzman, 2000. "Statistical Analysis of Computational Tests of Algorithms and Heuristics," INFORMS Journal on Computing, INFORMS, vol. 12(1), pages 24-44, February.
    6. Mnich, Matthias & Mömke, Tobias, 2018. "Improved integrality gap upper bounds for traveling salesperson problems with distances one and two," European Journal of Operational Research, Elsevier, vol. 266(2), pages 436-457.
    7. Mario Levorato & David Sotelo & Rosa Figueiredo & Yuri Frota, 2024. "Efficient solutions to the m-machine robust flow shop under budgeted uncertainty," Annals of Operations Research, Springer, vol. 338(1), pages 765-799, July.
    8. Ceranoglu, Ahmet N. & Duman, Ekrem, 2013. "VRP12 (vehicle routing problem with distances one and two) with side constraints," International Journal of Production Economics, Elsevier, vol. 144(2), pages 461-467.
    9. E Duman & M H Ozcelik & A N Ceranoglu, 2005. "A TSP (1,2) application arising in cable assembly shops," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 642-648, June.
    10. Zhang, Huili & Tong, Weitian & Xu, Yinfeng & Lin, Guohui, 2015. "The Steiner Traveling Salesman Problem with online edge blockages," European Journal of Operational Research, Elsevier, vol. 243(1), pages 30-40.
    11. Shiming Li & Wei Yu & Zhaohui Liu, 2024. "Improved approximation algorithms for the k-path partition problem," Journal of Global Optimization, Springer, vol. 90(4), pages 983-1006, December.
    12. Bogdan Armaselu, 2023. "Approximation algorithms for some extensions of the maximum profit routing problem," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-22, January.
    13. Mathias Weller & Annie Chateau & Rodolphe Giroudeau & Jean-Claude König & Valentin Pollet, 2018. "On residual approximation in solution extension problems," Journal of Combinatorial Optimization, Springer, vol. 36(4), pages 1195-1220, November.
    14. Demange, Marc & Paschos, Vangelis Th., 2005. "Polynomial approximation algorithms with performance guarantees: An introduction-by-example," European Journal of Operational Research, Elsevier, vol. 165(3), pages 555-568, September.
    15. Safer, Hershel M. & Orlin, James B., 1953-, 1995. "Fast approximation schemes for multi-criteria combinatorial optimization," Working papers 3756-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    16. Vallada, Eva & Ruiz, Rubén, 2010. "Genetic algorithms with path relinking for the minimum tardiness permutation flowshop problem," Omega, Elsevier, vol. 38(1-2), pages 57-67, February.
    17. Renzo Gómez & Yoshiko Wakabayashi, 2020. "Nontrivial path covers of graphs: existence, minimization and maximization," Journal of Combinatorial Optimization, Springer, vol. 39(2), pages 437-456, February.
    18. Miroslav Chlebík & Janka Chlebíková, 2022. "Weighted amplifiers and inapproximability results for Travelling Salesman problem," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1368-1390, July.
    19. Cristina Bazgan & Arne Herzel & Stefan Ruzika & Clemens Thielen & Daniel Vanderpooten, 2022. "An approximation algorithm for a general class of parametric optimization problems," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1328-1358, July.

    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:eee:ejores:v:145:y:2003:i:3:p:557-568. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.