Bounding the blocking probabilities in multirate CDMA networks supporting elastic services

  • Authors:
  • Gábor Fodor;Miklós Telek

  • Affiliations:
  • Ericsson Research, Kista, Sweden;University of Technology and Economics, Budapest, Hungary

  • Venue:
  • IEEE/ACM Transactions on Networking (TON)
  • Year:
  • 2007

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Abstract

Several previous contributions have proposed calculation methods that can be used to determine the steady state (and from it the blocking probabilities) of code-division multiple-access (CDMA) systems. This present work extends the classical Kaufman-Roberts formula such that it becomes applicable in CDMA systems in which elastic services with state-dependent instantaneous bit rate and average-bit-rate-dependent residency time are supported. Our model captures the effect of soft blocking, that is, an arriving session may be blocked in virtually all system states but with a state dependent probability. The core of this method is to approximate the original irreversible Markov chain with a reversible one and to give lower and upper bounds on the so-called partially blocking macro states of the state space. We employ this extended formula to establish lower and upper bounds on the steady state and the classwise blocking probabilities.