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Ambushing Random Walks I: Finite Models

Author

Listed:
  • William Ruckle

    (Clemson University, Clemson, South Carolina)

  • Robert Fennell

    (Clemson University, Clemson, South Carolina)

  • Paul T. Holmes

    (Clemson University, Clemson, South Carolina)

  • Charles Fennemore

    (Clemson University, Clemson, South Carolina)

Abstract

We consider a two-person competitive problem in which one player ( blue ) wishes to move across a rectangular lattice in such a way as to avoid being ambushed by his opponent ( red ), who has placed obstacles in blue 's path. Under some conditions, optimal strategies for blue and red are obtained and the value of the game is computed.

Suggested Citation

  • William Ruckle & Robert Fennell & Paul T. Holmes & Charles Fennemore, 1976. "Ambushing Random Walks I: Finite Models," Operations Research, INFORMS, vol. 24(2), pages 314-324, April.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:2:p:314-324
    DOI: 10.1287/opre.24.2.314
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    Citations

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    Cited by:

    1. Hohzaki, Ryusuke & Iida, Koji, 2001. "Optimal ambushing search for a moving target," European Journal of Operational Research, Elsevier, vol. 133(1), pages 120-129, August.
    2. K. T. Lee, 1990. "On ruckle's game of ambush," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 355-363, June.
    3. V. J. Baston & F. A. Bostock, 1987. "A continuous game of ambush," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 645-654, October.
    4. I.D. Woodward, 2003. "Discretization of the continuous ambush game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(5), pages 515-529, August.

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