Erlang Distribution and Exponential Distribution Models in Wireless Networks

  • Lela Mirtskhulava
  • Giorgi Gugunashvili
  • Mzia Kiknadze
Conference paper


Two mathematical models of wireless networks are analyzed in the given chapter. We demonstrate that the Erlang family provides more flexibility in modeling that exponential family, which only has one parameter. For this purposes one model has special Erlang distribution and second one is using exponential distribution. In practical situations, the Erlang family provides more flexibility in fitting a distribution to real data that the exponential family provides. The Erlang distribution is also useful in queueing analysis because of its relationship to the exponential distribution. To demonstrate the applicability of the Erlang distribution, we consider two queueing models, represented radio channels where the interarrival times between failure have the Erlang Distribution for FIRS model and Exponential distribution for second model.


Erlang distribution Interarrival time between failures Probabilistic approach Queueing model 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Lela Mirtskhulava
    • 1
  • Giorgi Gugunashvili
    • 1
  • Mzia Kiknadze
    • 2
  1. 1.Department of Computer SciencesIvane Javakhishvili Tbilisi State UniversityTbilisiGeorgia
  2. 2.Department of Computer EngineeringGeorgian Technical UniversityTbilisiGeorgia

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