Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
On the minimum node degree and connectivity of a wireless multihop network
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
On k-coverage in a mostly sleeping sensor network
Proceedings of the 10th annual international conference on Mobile computing and networking
Barrier coverage with wireless sensors
Proceedings of the 11th annual international conference on Mobile computing and networking
Designing localized algorithms for barrier coverage
Proceedings of the 13th annual ACM international conference on Mobile computing and networking
Reliable density estimates for coverage and connectivity in thin strips of finite length
Proceedings of the 13th annual ACM international conference on Mobile computing and networking
Strong barrier coverage of wireless sensor networks
Proceedings of the 9th ACM international symposium on Mobile ad hoc networking and computing
Barrier Coverage with Mobile Sensors
ISPAN '08 Proceedings of the The International Symposium on Parallel Architectures, Algorithms, and Networks
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Anti-intrusion is a typical application of wireless sensor networks (WSNs). It usually requires sensor nodes to be deployed in a long belt region. The coverage problem in this kind of applications is often referred to as barrier coverage, which is classified into weak barrier coverage and strong barrier coverage. A belt region is called weakly k-barrier covered (k=1) if an intruder traveling along any orthogonal crossing path can be detected by at least k sensors. For sensor deployment in a belt service region, an interesting and important question is ''How many sensor nodes should be deployed to achieve weak k-barrier coverage with a given probability?'' In this paper, we study the weak k-barrier coverage problem and attempt to answer this question by analyzing the probability of weak k-barrier coverage. We derive a lower bound for the probability of weak k-barrier coverage with and without considering the border effect, respectively. Moreover, we propose a simple but effective algorithm for accurately determining whether a deployed belt region is weakly k-barrier covered, and if not, what percentage of the region is not weakly k-barrier covered. Simulation results show that the derived lower bound is very close to the actual probability of weak k-barrier coverage, especially when k is small, and the border effect has a big impact on the probability of weak k-barrier coverage.