IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v37y1990i3p419-427.html
   My bibliography  Save this article

Rectilinear m‐Center problem

Author

Listed:
  • M. T. Ko
  • R. C. T. Lee
  • J. S. Chang

Abstract

In this article we consider the unweighted m‐center problem with rectilinear distance. We preent an O(nm–2 log n) algorithm for the m‐center problem where m ≥ 4.

Suggested Citation

  • M. T. Ko & R. C. T. Lee & J. S. Chang, 1990. "Rectilinear m‐Center problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 419-427, June.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:3:p:419-427
    DOI: 10.1002/nav.3800370306
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800370306
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800370306?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
    ---><---

    References listed on IDEAS

    as
    1. Jack Elzinga & Donald W. Hearn, 1972. "Geometrical Solutions for Some Minimax Location Problems," Transportation Science, INFORMS, vol. 6(4), pages 379-394, November.
    2. Richard L. Francis, 1967. "Letter to the Editor—Some Aspects of a Minimax Location Problem," Operations Research, INFORMS, vol. 15(6), pages 1163-1169, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kristóf Kovács & Boglárka Tóth, 2022. "Optimized location of light sources to cover a rectangular region," 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. 30(3), pages 1129-1149, September.

    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. Schnepper, Teresa & Klamroth, Kathrin & Stiglmayr, Michael & Puerto, Justo, 2019. "Exact algorithms for handling outliers in center location problems on networks using k-max functions," European Journal of Operational Research, Elsevier, vol. 273(2), pages 441-451.
    2. Jack Brimberg & Robert F. Love, 1991. "Estimating travel distances by the weighted lp norm," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 241-259, April.
    3. Wei-jie Cong & Le Wang & Hui Sun, 2020. "Rank-two update algorithm versus Frank–Wolfe algorithm with away steps for the weighted Euclidean one-center problem," Computational Optimization and Applications, Springer, vol. 75(1), pages 237-262, January.
    4. Murray, Alan T., 2021. "Contemporary optimization application through geographic information systems," Omega, Elsevier, vol. 99(C).
    5. Kalczynski, Pawel & Drezner, Zvi, 2022. "The Obnoxious Facilities Planar p-Median Problem with Variable Sizes," Omega, Elsevier, vol. 111(C).
    6. R. L. Francis & T. J. Lowe & Arie Tamir, 2000. "Aggregation Error Bounds for a Class of Location Models," Operations Research, INFORMS, vol. 48(2), pages 294-307, April.
    7. Zvi Drezner & Vladimir Marianov & George O. Wesolowsky, 2016. "Maximizing the minimum cover probability by emergency facilities," Annals of Operations Research, Springer, vol. 246(1), pages 349-362, November.
    8. Gert Wanka & Oleg Wilfer, 2017. "Duality results for nonlinear single minimax location problems via multi-composed optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 401-439, October.
    9. Li, Lushu & Kabadi, S. N. & Nair, K. P. K., 2002. "Fuzzy versions of the covering circle problem," European Journal of Operational Research, Elsevier, vol. 137(1), pages 93-109, February.
    10. R. Chen & G. Y. Handler, 1987. "Relaxation method for the solution of the minimax location‐allocation problem in euclidean space," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 775-788, December.
    11. Zvi Drezner & George Wesolowsky, 2014. "Covering Part of a Planar Network," Networks and Spatial Economics, Springer, vol. 14(3), pages 629-646, December.
    12. Minnie H. Patel & Deborah L. Nettles & Stuart J. Deutsch, 1993. "A linear‐programming‐based method for determining whether or not n demand points are on a hemisphere," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 543-552, June.
    13. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    14. Callaghan, Becky & Salhi, Said & Nagy, Gábor, 2017. "Speeding up the optimal method of Drezner for the p-centre problem in the plane," European Journal of Operational Research, Elsevier, vol. 257(3), pages 722-734.
    15. Hamacher, H. W. & Nickel, S., 1996. "Multicriteria planar location problems," European Journal of Operational Research, Elsevier, vol. 94(1), pages 66-86, October.
    16. Cavalier, Tom M. & Conner, Whitney A. & del Castillo, Enrique & Brown, Stuart I., 2007. "A heuristic algorithm for minimax sensor location in the plane," European Journal of Operational Research, Elsevier, vol. 183(1), pages 42-55, November.
    17. L. Frießs & K. Klamroth & M. Sprau, 2005. "A Wavefront Approach to Center Location Problems with Barriers," Annals of Operations Research, Springer, vol. 136(1), pages 35-48, April.
    18. Drezner, Zvi & Nickel, Stefan, 2009. "Solving the ordered one-median problem in the plane," European Journal of Operational Research, Elsevier, vol. 195(1), pages 46-61, May.
    19. Piyush Kumar & E. Alper Yıldırım, 2009. "An Algorithm and a Core Set Result for the Weighted Euclidean One-Center Problem," INFORMS Journal on Computing, INFORMS, vol. 21(4), pages 614-629, November.
    20. Marco Botte, 2021. "Fixed gate point location problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 547-582, 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:wly:navres:v:37:y:1990:i:3:p:419-427. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.