IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v46y1999i3p335-340.html
   My bibliography  Save this article

Note: Two rendezvous search problems on the line

Author

Listed:
  • Vic Baston

Abstract

A new upper bound is obtained for the two‐person symmetric rendezvous value on the real line when the distribution function of their initial distance apart is bounded. A second result shows that if three players are placed randomly on adjacent integers on the real line facing in random directions and able to move at a speed of at most 1, then they can ensure a three‐way meeting time of at most 7/2; the fact that 7/2 is a best possible result follows from work already in the literature. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 335–340, 1999

Suggested Citation

  • Vic Baston, 1999. "Note: Two rendezvous search problems on the line," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(3), pages 335-340, April.
  • Handle: RePEc:wly:navres:v:46:y:1999:i:3:p:335-340
    DOI: 10.1002/(SICI)1520-6750(199904)46:33.0.CO;2-Q
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199904)46:33.0.CO;2-Q
    Download Restriction: no

    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199904)46:33.0.CO;2-Q?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. Wei Shi Lim & Steve Alpern & Anatole Beck, 1997. "Rendezvous Search on the Line with More Than Two Players," Operations Research, INFORMS, vol. 45(3), pages 357-364, June.
    2. Alpern, Steve & Beck, Anatole, 1997. "Rendezvous search on the line with bounded resources: expected time minimization," European Journal of Operational Research, Elsevier, vol. 101(3), pages 588-597, September.
    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. Steve Alpern & Vic Baston, 2005. "Rendezvous on a Planar Lattice," Operations Research, INFORMS, vol. 53(6), pages 996-1006, December.
    2. Steve Alpern, 2017. "Hide-and-Seek Games on a Network, Using Combinatorial Search Paths," Operations Research, INFORMS, vol. 65(5), pages 1207-1214, October.
    3. Leone, Pierre & Buwaya, Julia & Alpern, Steve, 2022. "Search-and-rescue rendezvous," European Journal of Operational Research, Elsevier, vol. 297(2), pages 579-591.
    4. Vic Baston & Shmuel Gal, 2001. "Rendezvous search when marks are left at the starting points," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 722-731, December.
    5. Steve Alpern & Wei Shi Lim, 2002. "Rendezvous of three agents on the line," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 244-255, April.
    6. Pierre Leone & Steve Alpern, 2022. "A Symbolic Programming Approach to the Rendezvous Search Problem," SN Operations Research Forum, Springer, vol. 3(1), pages 1-29, March.
    7. Pierre Leone & Steve Alpern, 2018. "Rendezvous search with markers that can be dropped at chosen times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(6-7), pages 449-461, September.
    8. Steve Alpern, 2002. "Rendezvous Search: A Personal Perspective," Operations Research, INFORMS, vol. 50(5), pages 772-795, October.
    9. Steve Alpern, 2002. "Rendezvous search on labeled networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 256-274, April.

    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. Qiaoming Han & Donglei Du & Juan Vera & Luis F. Zuluaga, 2008. "Improved Bounds for the Symmetric Rendezvous Value on the Line," Operations Research, INFORMS, vol. 56(3), pages 772-782, June.
    2. Steve Alpern & Anatole Beck, 1999. "Asymmetric Rendezvous on the Line Is a Double Linear Search Problem," Mathematics of Operations Research, INFORMS, vol. 24(3), pages 604-618, August.
    3. Edward J. Anderson & Sándor P. Fekete, 2001. "Two Dimensional Rendezvous Search," Operations Research, INFORMS, vol. 49(1), pages 107-118, February.
    4. Steve Alpern & Wei Shi Lim, 2002. "Rendezvous of three agents on the line," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 244-255, April.
    5. Steve Alpern, 2002. "Rendezvous Search: A Personal Perspective," Operations Research, INFORMS, vol. 50(5), pages 772-795, October.
    6. Steve Alpern & Anatole Beck, 1999. "Rendezvous Search on the Line with Limited Resources: Maximizing the Probability of Meeting," Operations Research, INFORMS, vol. 47(6), pages 849-861, December.
    7. L.C. Thomas & M. Pikounis, 2001. "Many‐player rendezvous search: Stick together or split and meet?," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 710-721, December.
    8. Steve Alpern & Anatole Beck, 2000. "Pure Strategy Asymmetric Rendezvous on the Line with an Unknown Initial Distance," Operations Research, INFORMS, vol. 48(3), pages 498-501, June.
    9. Leone, Pierre & Buwaya, Julia & Alpern, Steve, 2022. "Search-and-rescue rendezvous," European Journal of Operational Research, Elsevier, vol. 297(2), pages 579-591.

    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:46:y:1999:i:3:p:335-340. 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.