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Performance of Gossip Algorithms in Wireless Sensor Networks

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Solutions on Embedded Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 81))

Abstract

The goal of this chapter is to evaluate the efficiency of three versions of the well known gossip algorithm, namely: basic gossip, push-sum and broadcast, for the distributed solution of averaging problems. The main focus is on the impact of link failures that, reducing the network connectivity, decrease the convergence speed. As a similar effect occurs in non-fully-meshed networks, because of a limited coverage radius of the nodes, a comparison is made between these two scenarios. The considered algorithms can require optimization of some share factors; to this purpose, we resort to simulations, but the conclusions achieved are confirmed through analytical arguments, exploiting the concept of potential function.

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References

  1. Barrenetxea G et al (2007) DemoAbstract: SensorScope, an urban environmental monitoring network. In: 4th European conference on wireless sensor networks (EWSN 2007), Delft, Netherlands, Jan 2007

    Google Scholar 

  2. Baker B, Shostak R (1972) Gossips and telephones. Discrete Math 2(3):191–193

    Article  MathSciNet  MATH  Google Scholar 

  3. Berman G (1973) The gossip problem. Discrete Math 4(1):91

    Article  MathSciNet  MATH  Google Scholar 

  4. Boyd S, Ghosh A, Prabhakar B, Shah D (2006) Randomized gossip algorithms. IEEE Trans Inf Theory 52(6):2508–2530

    Article  MathSciNet  Google Scholar 

  5. Kempe D, Dobra A, Gehrke J (2003) Gossip based computation of aggregate information. In: IEEE conference on foundation of computer science, Cambridge, MA, Oct 2003, pp 482–491

    Google Scholar 

  6. Zanaj E, Baldi M, Chiaraluce F (2009) Optimal share factors in the push-sum algorithm for ring and random geometric graph sensor networks. J Commun Softw Syst 5(1):9–18

    Google Scholar 

  7. Baldi M, Chiaraluce F, Zanaj E (2009) Fault tolerance in sensor networks: performance comparison of some gossip algorithms. In: 7th international workshop on intelligent solutions in embedded systems (WISES 2009), Ancona, Italy, June 2009, pp 11–20

    Google Scholar 

  8. Patwari N, Ash JN, Kyperountas S, Hero AO III, Moses RL, Correal NS (2005) Locating the nodes: cooperative localization in wireless sensor networks. IEEE Signal Process Mag 22(4):54–69

    Article  Google Scholar 

  9. Dimakis AG, Sarwate AD, Wainwright MJ (2008) Geographic gossip: efficient averaging for sensor networks. IEEE Trans Signal Process 56(3):1205–1216

    Article  MathSciNet  Google Scholar 

  10. Zanaj E, Baldi M, Chiaraluce F (2007) Efficiency of the gossip algorithm for wireless sensor networks. In: 2007 international conference on software, telecommunications and computer networks (SoftCOM 2007), Split, Dubrovnik, Croatia, Sept 2007, Paper 7072

    Google Scholar 

  11. Zanaj E, Baldi M, Chiaraluce F (2008) Efficiency of unicast and broadcast gossip algorithms for wireless sensor networks. J Commun Softw Syst 4(2):105–112

    Google Scholar 

  12. Baldi M, Chiaraluce F, Zanaj E (2008) Comparison of averaging algorithms for wireless sensor networks. In: International conference on information and communication technologies (ICTTA’08), Damascus, Syria, Apr 2008, Paper TEL05_7

    Google Scholar 

  13. Merris R (1995) A survey of graph Laplacians. Linear Multilinear Algebra 39(1 and 2):19–31

    Article  MathSciNet  MATH  Google Scholar 

  14. Mohar B (1991) The Laplacian spectrum of graphs. In: Alavi Y, Chartrand G, Oellermann OR, Schwenk AJ (eds) Graph theory, combinatorics, and applications, vol 2. Wiley, New York, pp 871–898

    Google Scholar 

  15. Shawe-Taylor J, Cristianini N (2004) Kernel methods for pattern analysis. Cambridge University Press, London

    Book  Google Scholar 

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Correspondence to Franco Chiaraluce .

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Baldi, M., Chiaraluce, F., Zanaj, E. (2011). Performance of Gossip Algorithms in Wireless Sensor Networks. In: Conti, M., Orcioni, S., Martínez Madrid, N., Seepold, R. (eds) Solutions on Embedded Systems. Lecture Notes in Electrical Engineering, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0638-5_1

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  • DOI: https://doi.org/10.1007/978-94-007-0638-5_1

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0637-8

  • Online ISBN: 978-94-007-0638-5

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