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The Scientific World Journal
Volume 2014 (2014), Article ID 818135, 9 pages
Research Article

Fault Tolerant Coverage and Connectivity in Presence of Channel Randomness

School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi 110067, India

Received 31 August 2013; Accepted 24 October 2013; Published 21 January 2014

Academic Editors: A. Manikas and Y. Qi

Copyright © 2014 Anil Kumar Sagar and D. K. Lobiyal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Some applications of wireless sensor network require -coverage and -connectivity to ensure the system to be fault tolerance and to make it more reliable. Therefore, it makes coverage and connectivity an important issue in wireless sensor networks. In this paper, we proposed -coverage and -connectivity models for wireless sensor networks. In both models, nodes are distributed according to Poisson distribution in the sensor field. To make the proposed model more realistic we used log-normal shadowing path loss model to capture the radio irregularities and studied its impact on -coverage and -connectivity. The value of can be different for different types of applications. Further, we also analyzed the problem of node failure for -coverage model. In the simulation section, results clearly show that coverage and connectivity of wireless sensor network depend on the node density, shadowing parameters like the path loss exponent, and standard deviation.