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Estimating the probability of a diffusing target encountering a stationary sensor
Author(s) -
Eagle James N.
Publication year - 1987
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198702)34:1<43::aid-nav3220340105>3.0.co;2-6
Subject(s) - diffusion , monte carlo method , diffusion process , path (computing) , statistical physics , mathematics , mathematical optimization , computer science , statistics , physics , innovation diffusion , knowledge management , thermodynamics , programming language
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.