Random walk models for search with particular reference to a bounded region
type: Item
instance of: scholarly article
title: Random walk models for search with particular reference to a bounded region
zbMATH Open document ID: 0619.60100
DOI: 10.1016/S0377-2217(87)80174-1
author: Brian Conolly
author: David M. Roberts
published in: European Journal of Operational Research
publication date: 1987-01-01T00:00:00Z
review text: The position of a target moving randomly in an area is described. The motion is a sequence of finite legs traversed at constant speed, with exponentially distributed lengths, and randomly oriented directions with respect to each other. Following \textit{J. C. Kluyver} [A local probability problem. Proc. Sect. Sci., Koninkl. Akad. Wetensch. Amsterdam 8, 341-350 (1906)] a new expression is derived for the distribution of the radius vector where the walk is of ''Pearson'' type, the relative directions of successive legs being U(0,2\(\pi)\). This is followed by a study of such a walk within a circular area. The purpose here is to investigate the effect of reflection policies at the boundary on the distribution of the position of the target within the area and on the coverage of the area by the walk.
Mathematics Subject Classification ID: 60K99
Mathematics Subject Classification ID: 60E99
zbMATH DE Number: 4005312
zbMATH Keywords: search
zbMATH Keywords: target moving randomly in an area
zbMATH Keywords: distribution of the radius vector
MaRDI profile type: Publication
cites work: Q3661894
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full work available at URL: s0377-2217(87)80174-1
OpenAlex ID: W2071810562
description: scientific article; zbMATH DE number 4005312