Abstract
The coverage problem is one of the most important types of the facility location problems, which belongs in the NP-hard problems. In this paper, we present a genetic algorithm for solving the constrained coverage problem in continuous space. The genetic operators are novel operators and specially designed to solve the coverage problem. The new algorithm has a high convergence rate and finds the global optimum by a high probability. The algorithm is tested by several benchmark problems, the results of which demonstrate the power of algorithm.
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References
Yang, S., Dai, F., Cardei, M., Wu, J.: On connected multiple point coverage in wireless sensor networks. Journal of Wireless Information Networks 13(4), 289–301 (2006)
Bagheri, M.: Efficient k-coverage Algorithms for wireless sensor networks and their applications to early detection of forest. Master thesis, Simon Fraser University (2007)
So, A.M.-C., Ye, Y.: On solving coverage problems in a wireless sensor network using voronoi diagrams. In: Deng, X., Ye, Y. (eds.) WINE 2005. LNCS, vol. 3828, pp. 584–593. Springer, Heidelberg (2005)
Ye, F., Zhong, G., Lu, S., Zhang, L.: PEAS: A robust energy conserving protocol for long-lived sensor networks. In: Int’l Conf. on Distributed Computing Systems (ICDCS) (2003)
Murray, A.T., O’Kelly, M.E., Church, R.L.: Regional service coverage modeling. Computer and Operation Research 35, 339–355 (2008)
Hochbaum, D.S., Maass, W.: Fast approximation algorithms for a nonconvex covering problem. J. Algorithms 8, 305–323 (1987)
Current, J., O’Kelly, M.: Locating emergency warning sirens. Decision Sciences 23, 221–234 (1992)
Murray, A.T., O’Kelly, M.E.: Assessing representation error in point-based coverage modeling. Journal of Geographical Systems 4, 171–191 (2002)
Mladenovi´c, N., Labbe, M., Hansen, P.: Solving the p-center problem with tabu search and variable neighborhood search. Networks 42, 48–64 (2003)
Elloumi, S., Labbe, M., Pochet, M.: A new formulation and resolution method for the p-center problem. INFORMS Journal on Computing 16(1), 84–94 (2004)
Chen, D., Chen, R.: New relaxation-based algorithms for the optimal solution of the continuous and discrete p-center problems. Computers and Operations Research (2008), doi:0.1016/j.cor.2008.03.009
Daskin, M.S.: Network and Discrete Location: Models, Algorithms and Applications. John Wiley, New York (1995)
Drezner, Z.: The p-center problem- heuristics and optimal algorithms. Journal of the Operational Research Society 35, 741–748 (1984)
Wei, H., Murray, A.T.: Solving the continuous space p-centre problem: planning application issues. IMA Journal of Management Mathematics 17, 413–425 (2006)
Huang, C., Tseng, Y.: The Coverage Problem in a Wireless Sensor Network. Mobile Networks and Applications 10, 519–528 (2005)
Hall, D.L., Llinas, J.: Handbook of Multisensor Data Fusion. CRC Press, Boca Raton (2001)
Zhao, Z., Govindan, R.: Understanding packet delivery performance in dense wireless sensor networks. In: Proc. of The Third ACM Conference on Embedded Networked Sensor Systems (Sensys 2003), Los Angeles, CA, pp. 1–13 (2003)
Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. John Wiley, Chichester (2001)
O’Rourke, J.: Computational Geometry in C, 2nd edn. Cambridge University Press, New York (1998)
Gowda, I., Kirkpatrick, D., Lee, D., Naamed, A.: Dynamic Voronoi Diagrams. IEEE Transactions on Information Theory 29, 724–731 (1983)
Borglet, M.G., Borglet, C.: Notes on the Dynamic Bichromatic All-Nearest-Neighbors Problem. In: 23rd European Workshop on Computational Geometry, pp. 198–201 (2007)
Megiddo, N.: Linear-time algorithms for linear programming in R3 and related problems. SIAM Journal on Computation 12, 759–776 (1983)
Homaifar, A., Lai, S.H., Qi, X.: Constrained optimization via genetic algorithms. Simulation 62(4), 242–254 (1994)
Pelegrin, B., Canovas, L.: A new assignment rule to improve seed points algorithms for the continuous k-center problem. European Journal of Operational Research 104, 366–374 (1998)
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Davoodi, M., Mohades, A., Rezaei, J. (2009). A Genetic Algorithm for the Constrained Coverage Problem. In: Mehnen, J., Köppen, M., Saad, A., Tiwari, A. (eds) Applications of Soft Computing. Advances in Intelligent and Soft Computing, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89619-7_34
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DOI: https://doi.org/10.1007/978-3-540-89619-7_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89618-0
Online ISBN: 978-3-540-89619-7
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