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OFDP: A Distributed Algorithm for Finding Disjoint Paths with Minimum Total Energy Cost in Wireless Sensor Networks

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Wireless Algorithms, Systems, and Applications (WASA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8491))

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Abstract

This paper investigates the MINimum-energy-cost-k-Disjoint-Paths (MIN-k-DP) problem : in a sensor network, given two nodes s and t, a positive integer k, finding k (node) disjoint paths connecting s and t with minimum total energy cost. An efficient distributed algorithm named Optimally-Finding-Disjoint-Paths (OFDP) is proposed for this problem. OFDP guarantees correctness and optimality, i.e., 1) it will find k disjoint paths if there exist k disjoint paths in the network or the maximum number of disjoint paths otherwise; 2) the disjoint paths it outputs do have minimum total energy cost. To the best of our knowledge, OFDP is the first distributed algorithm that can solve the MIN-k-DP problem with correctness and optimality guarantee. Compared with the existing centralized algorithms which also guarantee correctness and optimality, OFDP is shown to be much more efficient by simulation results.

This work is supported by National Natural Science Foundation of China (Grant No. 61300207), Fundamental Research Funds for the Central Universities (Grant No. HEUCF100610).

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References

  1. Baek, J.-W., Nam, Y.J., Seo, D.-W.: An energy-efficient k-disjoint-path routing algorithm for reliable wireless sensor networks. In: Obermaisser, R., Nah, Y., Puschner, P., Rammig, F.J. (eds.) SEUS 2007. LNCS, vol. 4761, pp. 399–408. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Bhandari, R.: Optimal physical diversity algorithms and survivable networks. In: Proceedings of the 2nd IEEE Symposium on Computers and Communications, ISCC (1997)

    Google Scholar 

  3. Cai, Z., Chen, Z., Lin, G.: Approximation algorithm for the capacitated multicast tree routing problem. Theoretical Computer Science 410, 5415–5424 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  4. Cai, Z., Goebel, R., Lin, G.: Size-constrained tree partitioning: a story on approximating the multicast k-tree routing problem. Theoretical Computer Science 412, 240–245 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  5. Chen, Y., Guo, X., Zeng, Q.: Amr: a multipath routing algorithm based on maximum flow in ad hoc networks. Acta Electronica Sinica 32, 1297–1301 (2004)

    Google Scholar 

  6. Deb, B., Bhatnagar, S., Nath, B.: Reinform: Reliable information forwarding using multiple paths in sensor networks. In: Proceedings of the 28th Annual IEEE International Conference on Local Computer Networks (2003)

    Google Scholar 

  7. Fang, X., Shi, S., Li, J.: A disjoint multi-path routing algorithm in wireless sensor network. Jounal of Computer Research and Development 46, 2053–2061 (2009)

    Google Scholar 

  8. Ganesan, D., Govindan, R., Shenker, S., Estrin, D.: Highly-resilient, energy-efficient multipath routing in wireless sensor networks. In: Proceedings of the 2nd ACM International Symposium on Mobile Ad hoc Networking & Computing, MobiHoc (2001)

    Google Scholar 

  9. Hashiguchi, T., Tajima, K., Takita, Y., Naito, T.: Node-disjoint paths search in wdm networks with asymmetric nodes. In: International Conference on Optical Network Design and Modeling, ONDM (2011)

    Google Scholar 

  10. Iwama, K., Iwamoto, C., Ohsawa, T.: A faster parallel algorithm for k-connectivity. Information Processing Letters 61, 265–269 (1997)

    Article  MathSciNet  Google Scholar 

  11. Khuller, S., Schieber, B.: Efficient parallel algorithms for testing connectivity and finding disjoint s-t paths in graphs. In: 30th Annual Symposium on Foundations of Computer Science (1989)

    Google Scholar 

  12. Kumar, A., Varma, S.: Geographic node-disjoint path routing for wireless sensor networks. IEEE Sensors Journal (2010)

    Google Scholar 

  13. Li, S., Wu, Z.: Node-disjoint parallel multi-path routing in wireless sensor networks. In: Proceedings of the Second International Conference on Embedded Software and Systems, ICESS (2005)

    Google Scholar 

  14. Omar, S., Zoulikha, M., Cousin, B.: Energy efficiency in ad hoc wireless networks with node-disjoint path routing. In: International Workshop on Systems, Signal Processing and their Applications, WOSSPA (2011)

    Google Scholar 

  15. Sidhu, D., Nair, R., Abdallah, S.: Finding disjoint paths in networks. In: Proceedings of the Conference on Communications Architecture & Protocols, SIGCOMM (1991)

    Google Scholar 

  16. Srinivas, A., Modiano, E.: Minimum energy disjoint path routing in wireless ad-hoc networks. In: Proceedings of the 9th Annual International Conference on Mobile Computing and Networking, MobiCom (2003)

    Google Scholar 

  17. Suurballe, J.W.: Disjoint paths in a network. Networks 4, 125–145 (1974)

    Article  MATH  MathSciNet  Google Scholar 

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Zhang, K., Gao, H., Yin, G., Han, Q. (2014). OFDP: A Distributed Algorithm for Finding Disjoint Paths with Minimum Total Energy Cost in Wireless Sensor Networks. In: Cai, Z., Wang, C., Cheng, S., Wang, H., Gao, H. (eds) Wireless Algorithms, Systems, and Applications. WASA 2014. Lecture Notes in Computer Science, vol 8491. Springer, Cham. https://doi.org/10.1007/978-3-319-07782-6_62

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  • DOI: https://doi.org/10.1007/978-3-319-07782-6_62

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07781-9

  • Online ISBN: 978-3-319-07782-6

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