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Many‐player rendezvous search: Stick together or split and meet?

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  • L.C. Thomas
  • M. Pikounis

Abstract

Rendezvous search finds the strategies that players should use in order to find one another when they are separated in a region. Previous papers have concentrated on the case where there are two players searching for one another. This paper looks at the problem when there are more than two players and concentrates on what they should do if some but not all of them meet together. It looks at two strategies—the stick together one and the split up and meet again one. This paper shows that the former is optimal among the class of strategies which require no memory and are stationary, and it gives a method of calculating the expected rendezvous time under it. However, simulation results comparing both strategies suggest that in most situations the split up and meet again strategy which requires some memory leads to faster expected rendezvous times. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48:710–721, 2001

Suggested Citation

  • 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.
  • Handle: RePEc:wly:navres:v:48:y:2001:i:8:p:710-721
    DOI: 10.1002/nav.1043
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    References listed on IDEAS

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    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.
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