Connectivity of Random 1-Dimensional Networks



Kurlin, V ORCID: 0000-0001-5328-5351 and Mihaylova, L
(2007) Connectivity of Random 1-Dimensional Networks. Journal of Applied Probability and Statistics.

[img] Text
connectivity.random.1dim.network.pdf - Author Accepted Manuscript

Download (435kB)

Abstract

An important problem in wireless sensor networks is to find the minimal number of randomly deployed sensors making a network connected with a given probability. In practice sensors are often deployed one by one along a trajectory of a vehicle, so it is natural to assume that arbitrary probability density functions of distances between successive sensors in a segment are given. The paper computes the probability of connectivity and coverage of 1-dimensional networks and gives estimates for a minimal number of sensors for important distributions.

Item Type: Article
Additional Information: 12 pages, 10 figures
Uncontrolled Keywords: cs.IT, cs.IT, cs.DS, math.IT, stat.AP, C.2.1
Depositing User: Symplectic Admin
Date Deposited: 14 Dec 2016 16:19
Last Modified: 19 Jan 2023 07:24
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3004874