Technical Reports (CIS)
Document Type
Technical Report
Date of this Version
January 2003
Abstract
This paper contains two main results: First, we revisit the well-known visibility based pursuit-evasion problem and show that, in contrast to deterministic strategies, a single pursuer can locate an unpredictable evader in any simply-connected polygonal environment using a randomized strategy. The evader can be arbitrarily faster than the pursuer and it may know the position of the pursuer at all times but it does not have prior knowledge of the random decisions made by the pursuer. Second, using the randomized algorithm together with the solution of a known lion and man problem [1] as subroutines, we present a strategy for two pursuers (one of which is at least as fast as the evader) to quickly capture an evader in a simply-connected polygonal environment. We show how this strategy can be extended to obtain a strategy for (i) capturing the evader in a polygonal room with a door, (ii) two pursuers who have only line-of-sight communication, and (iii) a single pursuer (at the expense of increased capture time).
Recommended Citation
Volkan Isler, Sampath Kannan, and Sanjeev Khanna, "Locating and Capturing an Evader in a Polygonal Environment", . January 2003.
Date Posted: 25 May 2005
Comments
University of Pennsylvania Department of Computer and Information Science Technical Report No. MS-CIS-03-33.