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Hybrid approximation for minimum-cost target coverage in wireless sensor networks

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Abstract

This paper presents a hybrid approximation scheme for the Max-SNP-complete minimum-cost target coverage problem in wireless sensor networks. LP-rounding and set-cover selection are polynomial-time approximations for this problem. Our hybrid scheme combines these two methods using a crafted convex combination. We show that the hybrid scheme with appropriately chosen coefficients produces much better approximations than either of the two methods used alone. We show that, through a large number of numerical experiments, the hybrid scheme never exceeds an approximation ratio of 1.14, providing up to 14.86% improvement over the best approximations previously known.

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References

  1. Cardei, M., Wu, J.: Coverage in wireless sensor networks. In: Ilyas, M., Magboub, I. (eds.) Handbook of Sensor Networks. CRC Press (2004)

  2. Chakrabarty K., Iyengar S.S., Qi H., Cho E.: Grid coverage for surveillance and target location in distributed sensor networks. IEEE Trans. Comput. 51(12), 1448–1453 (2002)

    Article  MathSciNet  Google Scholar 

  3. Hochbaum D.: Approximating covering and packing problems: set cover, vertex cover, independent set, and related problems. In: Hochbaum, D. (eds) Approximation Algorithms for NP-Hard Problems, PWS Publishing Company, Boston (1997)

    Google Scholar 

  4. Rajagopalan S., Vazirani V.V.: Primal-dual RNC approximation algorithms for set cover and covering integer programs. SIAM J. Comput. 28, 526–541 (1999)

    MathSciNet  Google Scholar 

  5. Sahni S., Xu X.: Algorithms for wireless sensor networks. Int. J. Distr. Sensor Netw. 1(1), 35–56 (2005)

    Article  Google Scholar 

  6. Vazrani V.V.: Approximation Algorithms. Springer, New York (2001)

    Google Scholar 

  7. Wang J., Zhong N.: Efficient point coverage in wireless sensor networks. J. Comb. Optim. 11, 291–305 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  8. Wang J., Zhong N.: Minimum-cost sensor arrangement for achieving wanted coverage lifetime. Int. J. Sensor Netw. 3(3), 165–174 (2008)

    Article  Google Scholar 

  9. Yu, Z., Wang, J.: Reliable sensor arrangement for achieving wanted coverage lifetime with minimum cost. In: Proceedings of the 2nd International Conference on Wireless Algorithms, Systems and Applications (WASA’07), Chicago, pp. 95–102. IEEE Computer Society Press, August 2007

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Correspondence to Zheng Fang.

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Fang, Z., Wang, J. Hybrid approximation for minimum-cost target coverage in wireless sensor networks. Optim Lett 4, 371–381 (2010). https://doi.org/10.1007/s11590-009-0167-0

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  • DOI: https://doi.org/10.1007/s11590-009-0167-0

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