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Estimating the probability of a diffusing target encountering a stationary sensor

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  • James N. Eagle

Abstract

The problem addressed is that of estimating the probability of a moving particle (called the target) avoiding detection by a stationary sensor to time t. The target follows a diffusion path and is constrained to remain within a square region R. The detecting sensor is fixed at the center of A. Two expressions for this probability are given. The first results from an approximation to the exact solution of the diffusion equation and the second from experimentation with a Monte Carlo simulation of the diffusion process.

Suggested Citation

  • James N. Eagle, 1987. "Estimating the probability of a diffusing target encountering a stationary sensor," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 43-51, February.
  • Handle: RePEc:wly:navres:v:34:y:1987:i:1:p:43-51
    DOI: 10.1002/1520-6750(198702)34:13.0.CO;2-6
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