Reliable Networks with Unreliable Sensors

  • Srikanth Sastry
  • Tsvetomira Radeva
  • Jianer Chen
  • Jennifer L. Welch
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6522)


Wireless sensor networks (WSNs) deployed in hostile environments suffer from a high rate of node failure. We investigate the effect of such failure rate on network connectivity. We provide a formal analysis that establishes the relationship between node density, network size, failure probability, and network connectivity. We show that as network size and density increase, the probability of network partitioning becomes arbitrarily small. We show that large networks can maintain connectivity despite a significantly high probability of node failure. We derive mathematical functions that provide lower bounds on network connectivity in WSNs. We compute these functions for some realistic values of node reliability, area covered by the network, and node density, to show that, for instance, networks with over a million nodes can maintain connectivity with a probability exceeding 99% despite node failure probability exceeding 57%.


Sensor Network Failure Probability Node Density Reliable Network Regular Hexagon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Akkaya, K., Younis, M.: A survey on routing protocols for wireless sensor networks. Ad Hoc Networks 3(3), 325–349 (2005), CrossRefGoogle Scholar
  2. 2.
    Akyildiz, I.F., Su, W., Sankarasubramaniam, Y., Cayirci, E.: Wireless sensor networks: a survey. Computer Networks 38(4), 393–422 (2002),
  3. 3.
    Ammari, H.M., Das, S.K.: Fault tolerance measures for large-scale wireless sensor networks. ACM Transactions on Autonomous and Adaptive Systems 4(1), 1–28 (2009), CrossRefGoogle Scholar
  4. 4.
    Bai, X., Kumar, S., Xuan, D., Yun, Z., Lai, T.H.: Deploying wireless sensors to achieve both coverage and connectivity. In: MobiHoc 2006: Proceedings of the 7th ACM International Symposium on Mobile and Hoc Networking and Computing, pp. 131–142. ACM, New York (2006), Google Scholar
  5. 5.
    Bhandari, V., Vaidya, N.H.: Reliable broadcast in wireless networks with probabilistic failures. In: Proceedings of the 26th IEEE International Conference on Computer Communications, pp. 715–723 (2007),
  6. 6.
    Cai, H., Jia, X., Sha, M.: Critical sensor density for partial connectivity in large area wireless sensor networks. In: Proceedings of the 27th IEEE International Conference on Computer Communications, pp. 1–5 (2010),
  7. 7.
    Chen, J., Kanj, I.A., Wang, G.: Hypercube network fault tolerance: A probabilistic approach. Journal of Interconnection Networks 6(1), 17–34 (2005), CrossRefGoogle Scholar
  8. 8.
    Chen, J., Wang, G., Lin, C., Wang, T., Wang, G.: Probabilistic analysis on mesh network fault tolerance. Journal of Parallel and Distributed Computing 67, 100–110 (2007), CrossRefzbMATHGoogle Scholar
  9. 9.
    Chen, J., Wang, G., Chen, S.: Locally subcube-connected hypercube networks: theoretical analysis and experimental results. IEEE Transactions on Computers 51(5), 530–540 (2002), MathSciNetCrossRefGoogle Scholar
  10. 10.
    Kikiras, P., Avaritsiotis, J.: Unattended ground sensor network for force protection. Journal of Battlefield Technology 7(3), 29–34 (2004)Google Scholar
  11. 11.
    Kim, D., Hsin, C.F., Liu, M.: Asymptotic connectivity of low duty-cycled wireless sensor networks. In: Military Communications Conference, pp. 2441–2447 (2005),
  12. 12.
    Li, M., Yang, B.: A survey on topology issues in wireless sensor network. In: Proceedings of the 2006 International Conference On Wireless Networks, pp. 503–509 (2006)Google Scholar
  13. 13.
    Meguerdichian, S., Koushanfar, F., Potkonjak, M., Srivastava, M.: Coverage problems in wireless ad-hoc sensor networks. In: Proceedings of the Twentieth Annual Joint Conference of the IEEE Computer and Communications Societies, pp. 1380–1387 (2001),
  14. 14.
    Rhoads, G.C.: Planar tilings by polyominoes, polyhexes, and polyiamonds. Journal of Computational and Applied Mathematics 174(2), 329–353 (2005), MathSciNetCrossRefzbMATHGoogle Scholar
  15. 15.
    Sastry, S., Radeva, T., Chen, J.: Reliable networks with unreliable sensors. Tech. Rep. TAMU-CSE-TR-2010-7-4, Texas A&M University (2010),
  16. 16.
    Shakkottai, S., Srikant, R., Shroff, N.B.: Unreliable sensor grids: coverage, connectivity and diameter. Ad Hoc Networks 3(6), 702–716 (2005), CrossRefGoogle Scholar
  17. 17.
    Su, H., Wang, Y., Shen, Z.: The condition for probabilistic connectivity in wireless sensor networks. In: Proceedings of the Third International Conference on Pervasive Computing and Applications, pp. 78–82 (2008),
  18. 18.
    Szewczyk, R., Polastre, J., Mainwaring, A., Culler, D.: Lessons from a sensor network expedition. In: Proceedings of the First European Workshop on Wireless Sensor Networks, pp. 307–322 (2004),
  19. 19.
    Vincent, P., Tummala, M., McEachen, J.: Connectivity in sensor networks. In: Proceedings of the Fortieth Hawaii International Conference on System Sciences, p. 293c (2007),
  20. 20.
    Wang, X., Xing, G., Zhang, Y., Lu, C., Pless, R., Gill, C.: Integrated coverage and connectivity configuration in wireless sensor networks. In: SenSys 2003: Proceedings of the 1st International Conference on Embedded Networked Sensor Systems, pp. 28–39 (2003),
  21. 21.
    Werner-Allen, G., Lorincz, K., Welsh, M., Marcillo, O., Johnson, J., Ruiz, M., Lees, J.: Deploying a wireless sensor network on an active volcano. IEEE Internet Computing 10, 18–25 (2006), CrossRefGoogle Scholar
  22. 22.
    Zhang, H., Hou, J.: Maintaining sensing coverage and connectivity in large sensor networks. Ad Hoc & Sensor Wireless Networks 1(1-2) (2005),

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Srikanth Sastry
    • 1
  • Tsvetomira Radeva
    • 2
  • Jianer Chen
    • 1
  • Jennifer L. Welch
    • 1
  1. 1.Department of Computer Science and EngineeringTexas A&M UniversityCollege StationUSA
  2. 2.Computer Science and Artificial Intelligence LaboratoryMassachusetts Institute of TechnologyCambridgeUSA

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