Abstract
Sweep coverage provides solution for the applications in wireless sensor networks, where periodic monitoring is sufficient instead of continuous monitoring. For a given set of points in the plane, the objective of the sweep coverage problem is to minimize number of sensors required in order to guarantee sweep coverage for a given set of points of interest. Instead of using only mobile sensors for sweep coverage, use of both static and mobile sensors can be more effective in terms of energy utilization. In this paper we introduce the EEGSweep coverage problem, where objective is to minimize energy consumption by a set of sensors (mobile and/or static) with guaranteed sweep coverage for a given set of points. We prove that the EEGSweep coverage problem is NP-hard and cannot be approximated within a factor of 2. We propose an 8-approximation algorithm to solve the problem. A 2-approximation algorithm is also proposed for a special case of this problem.
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References
Al-Turjman, F.M., Hassanein, H.S., Ibnkahla, M.A.: Connectivity optimization for wireless sensor networks applied to forest monitoring. In: Proceedings of the 2009 IEEE international conference on Communications, ICC 2009, pp. 285–290. IEEE Press, Piscataway (2009)
Bartolini, N., Calamoneri, T., Fusco, E.G., Massini, A., Silvestri, S.: Push & pull: autonomous deployment of mobile sensors for a complete coverage. Wireless Networks 16(3), 607–625 (2010)
Batalin, M.A., Sukhatme, G.S.: Multi-robot dynamic coverage of a planar bounded environment. In Technical Report, CRES-03-011 (2002)
Boukerche, A., Fei, X., de Araujo, R.B.: An optimal coverage-preserving scheme for wireless sensor networks based on local information exchange. Computer Communications 30(14-15), 2708–2720 (2007)
Chu, H.-C., Wang, W.-K., Lai, Y.-H.: Sweep coverage mechanism for wireless sensor networks with approximate patrol times. In: Symposia and Workshops on Ubiquitous, Autonomic and Trusted Computing, pp. 82–87 (2010)
Das, G.K., Fraser, R., Lòpez-Ortiz, A., Nickerson, B.G.: On the discrete unit disk cover problem. In: Katoh, N., Kumar, A. (eds.) WALCOM 2011. LNCS, vol. 6552, pp. 146–157. Springer, Heidelberg (2011)
Dash, D., Bishnu, A., Gupta, A., Nandy, S.C.: Approximation algorithms for deployment of sensors for line segment coverage in wireless sensor networks. In: COMSNETS, pp. 1–10 (2012)
Du, J., Li, Y., Liu, H., Sha, K.: On sweep coverage with minimum mobile sensors. In: Proceedings of the 2010 IEEE 16th International Conference on Parallel and Distributed Systems, ICPADS 2010, pp. 283–290. IEEE Computer Society, Washington, DC (2010)
Garg, N.: Saving an epsilon: a 2-approximation for the k-mst problem in graphs. In: Gabow, H.N., Fagin, R. (eds.) Proceedings of the 37th Annual ACM Symposium on Theory of Computing, Baltimore, MD, USA, May 22-24, pp. 396–402. ACM (2005)
Gorain, B., Mandal, P.S.: Approximation algorithms for sweep coverage in wireless sensor networks. J. Parallel Distrib. Comput. 74(8), 2699–2707 (2014)
Gorain, B., Mandal, P.S.: Brief announcement: Sweep coverage with mobile and static sensors. In: Proceedings of 16th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS 2014), Paderborn, Germany, September 28 - October 1, pp. 346–348 (2014)
Gorain, B., Mandal, P.S.: Line sweep coverage in wireless sensor networks. In: Sixth International Conference on Communication Systems and Networks, COMSNETS 2014, Bangalore, India, January 6-10, pp. 1–6. IEEE (2014)
Gu, Y., Ji, Y., Li, J., Zhao, B.: Fundamental results on target coverage problem in wireless sensor networks. In: GLOBECOM 2009, pp. 1–6 (2009)
Li, J., Wang, R., Huang, H., Sun, L.: Voronoi-based coverage optimization for directional sensor networks. Wireless Sensor Network 1(5), 417–424 (2009)
Li, M., Cheng, W.-F., Liu, K., Liu, Y., Li, X.-Y., Liao, X.: Sweep coverage with mobile sensors. IEEE Trans. Mob. Comput. 10(11), 1534–1545 (2011)
Lu, M., Wu, J., Cardei, M., Li, M.: Energy-efficient connected coverage of discrete targets in wireless sensor networks. In: Lu, X., Zhao, W. (eds.) ICCNMC 2005. LNCS, vol. 3619, pp. 43–52. Springer, Heidelberg (2005)
Ma, M., Yang, Y.: Adaptive triangular deployment algorithm for unattended mobile sensor networks. IEEE Trans. Computers 56(7) (2007)
Meguerdichian, S., Koushanfar, F., Potkonjak, M., Srivastava, M.B.: Coverage problems in wireless ad-hoc sensor networks. In: INFOCOM 2001, pp. 1380–1387 (2001)
Ravi, R., Sundaram, R., Marathe, M.V., Rosenkrantz, D.J., Ravi, S.S.: Spanning trees short or small. In: Proceedings of the Fifth Annual ACM-SIAM Symposium on Discrete Algorithms. Arlington, Virginia, January 23-25, pp. 546–555 (1994)
Wang, G., Cao, G., LaPorta, T.: A bidding protocol for deploying mobile sensors. In: Proceedings. 11th IEEE International Conference on Network Protocols (ICNP 2003), pp. 315 – 324 (November 2003)
Wang, G., Cao, G., LaPorta, T.F.: Movement-assisted sensor deployment. IEEE Trans. Mob. Comput. 5(6), 640–652 (2006)
Xi, M., Wu, K., Qi, Y., Zhao, J., Liu, Y., Li, M.: Run to potential: Sweep coverage in wireless sensor networks. In: ICPP, pp. 50–57 (2009)
Yang, M., Kim, D., Li, D., Chen, W., Du, H., Tokuta, A.O.: Sweep-coverage with energy-restricted mobile wireless sensor nodes. In: Ren, K., Liu, X., Liang, W., Xu, M., Jia, X., Xing, K. (eds.) WASA 2013. LNCS, vol. 7992, pp. 486–497. Springer, Heidelberg (2013)
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Gorain, B., Mandal, P.S. (2015). Energy Efficient Sweep Coverage with Mobile and Static Sensors. In: Ganguly, S., Krishnamurti, R. (eds) Algorithms and Discrete Applied Mathematics. CALDAM 2015. Lecture Notes in Computer Science, vol 8959. Springer, Cham. https://doi.org/10.1007/978-3-319-14974-5_26
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DOI: https://doi.org/10.1007/978-3-319-14974-5_26
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