Clock synchronization in symmetric stochastic networks

  • Authors:
  • Anatoly Manita

  • Affiliations:
  • Department of Probability, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow , Russia 119991

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 2014

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Abstract

We consider a stochastic model of clock synchronization in a wireless network of $$N$$ N sensors interacting with one dedicated accurate time server. For large $$N$$ N we find an estimate of the final time sychronization error for global and relative synchronization. The main results concern the behavior of the network on different timescales $$t_{N}\rightarrow \infty $$ t N 驴 驴 , $$N\rightarrow \infty $$ N 驴 驴 . We discuss the existence of phase transitions and find the exact timescales for which an effective clock synchronization of the system takes place.