Approximating Maximum Disjoint Coverage in Wireless Sensor Networks

Due to limited battery life and fault tolerance issues posed by Wireless Sensor Networks (WSNs), efficient methods which ensure reliable coverage are highly desirable. One solution is to use disjoint set covers to cover the targets. We formulate a problem called MDC which addresses the maximum coverage by using disjoint set covers S 1 and S 2. We prove that MDC is \(\mathcal{NP}\)-complete and propose a \(\sqrt{n}\)-approximation algorithm for the MDC problem to cover n targets.

[1]  Frank L. Lewis,et al.  Energy-efficient wireless sensor network design and implementation for condition-based maintenance , 2007, TOSN.

[2]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[3]  Miodrag Potkonjak,et al.  Power efficient organization of wireless sensor networks , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[4]  Ashish Goel,et al.  Set k-cover algorithms for energy efficient monitoring in wireless sensor networks , 2003, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.

[5]  Xiang-Yang Li,et al.  Coverage in Wireless Ad Hoc Sensor Networks , 2003, IEEE Trans. Computers.

[6]  Panayiotis Kotzanikolaou,et al.  Solving coverage problems in wireless sensor networks using cover sets , 2010, Ad Hoc Networks.

[7]  Weili Wu,et al.  Coverage breach problems in bandwidth-constrained sensor networks , 2007, TOSN.

[8]  Mihaela Cardei,et al.  Energy-efficient connected-coverage in wireless sensor networks , 2008, Int. J. Sens. Networks.

[9]  Miodrag Potkonjak,et al.  Worst and best-case coverage in sensor networks , 2005, IEEE Transactions on Mobile Computing.

[10]  Antoine Gallais,et al.  An Adaptive Localized Algorithm for Multiple Sensor Area Coverage , 2007, 21st International Conference on Advanced Information Networking and Applications (AINA '07).

[11]  Zygmunt J. Haas On the relaying capability of the reconfigurable wireless networks , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[12]  Ding-Zhu Du,et al.  Improving Wireless Sensor Network Lifetime through Power Aware Organization , 2005, Wirel. Networks.

[13]  Weili Wu,et al.  Energy-efficient target coverage in wireless sensor networks , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..