Communication in Random Geometric Radio Networks with Positively Correlated Random Faults

  • Evangelos Kranakis
  • Michel Paquette
  • Andrzej Pelc
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5198)


We study the feasibility and time of communication in random geometric radio networks, where nodes fail randomly with positive correlation. We consider a set of radio stations with the same communication range, distributed in a random uniform way on a unit square region. In order to capture fault dependencies, we introduce the ranged spot model in which damaging events, called spots, occur randomly and independently on the region, causing faults in all nodes located within distance s from them. Node faults within distance 2s become dependent in this model and are positively correlated. We investigate the impact of the spot arrival rate on the feasibility and the time of communication in the fault-free part of the network. We provide an algorithm which broadcasts correctly with probability 1 − ε in faulty random geometric radio networks of diameter D in time O(D + log1/ε).


Fault-tolerance dependent faults broadcast crash faults random geometric radio network 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Evangelos Kranakis
    • 1
  • Michel Paquette
    • 1
  • Andrzej Pelc
    • 2
  1. 1.School of Computer ScienceCarleton UniversityOttawaCanada
  2. 2.Département d’informatique et d’ingénierieUniversité du Québec en Outaouais GatineauCanada

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