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Pursuit around a hole

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  • J. R. Isbell

Abstract

The solution of isaacs1 problem of optimal pursuit in a plane with a circular disk removed, given constant speeds, zero turning radius, and perfect visibility for both players is presented herein. The hole has three effects: the trivial effect that shortest paths are not straight, the trapping effect to turn the evader from running into the hole, and the screening effect causing an evader retreating behind the hole not to retreat across a line through its center.

Suggested Citation

  • J. R. Isbell, 1967. "Pursuit around a hole," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(4), pages 569-571.
    • Handle: RePEc:wly:navlog:v:14:y:1967:i:4:p:569-571
    DOI: 10.1002/nav.3800140411
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