Impact of region-based faults on the connectivity of wireless networks

Arunabha Sen, Sujogya Banerjee, Pavel Ghosh, Shahrzad Shirazipourazad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

The last few years have seen considerable interest in the wireless networking research community in analyzing the connectivity of wireless ad-hoc networks formed by a set of nodes distributed in a two dimensional plane (deployment area) with a (i) uniform probability density function and (ii) uniform transmission range. Although several important and interesting results are known in this domain, most of the connectivity studies consider a fault-free scenario where all nodes are available for network formation and do not consider failures among nodes caused by one reason or another. In very few studies where faults are considered, they are usually considered to be random in nature, i.e., the probability of a node failing is independent of its location in the deployment area. However, such fault scenario is inadequate to capture many realistic situations where the faulty nodes are spatially correlated. This is particularly true in combat environment where an enemy bomb can destroy a subset of nodes confined to a region. In this paper we investigate the impact of region-based faults on the connectivity of wireless networks. Through analysis and simulation, we provide results relating the probability of a network being connected as transmission range and the size of fault-region are varied. If dmin(G) denotes the minimum node degree of the network, we provide the analytical expression for P(dmin(G) ≥ k), which represents the probability of the minimum node degree being at least k, for k = 1. Moreover, we compute P(K(G) ≥ k), where K(G) represents the connectivity of the graph G formed by the distribution of nodes in the deployment area and examine the relationship between P(dmin(G) ≥ k) and P(K(G) ≥ k) when k = 1.

Original languageEnglish (US)
Title of host publication2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
Pages1430-1437
Number of pages8
DOIs
StatePublished - Dec 1 2009
Event2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009 - Monticello, IL, United States
Duration: Sep 30 2009Oct 2 2009

Publication series

Name2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009

Other

Other2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
CountryUnited States
CityMonticello, IL
Period9/30/0910/2/09

ASJC Scopus subject areas

  • Computer Science(all)
  • Control and Systems Engineering
  • Communication

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