Bounding the blocking probabilities in multirate CDMA networks supporting elastic services

Gábor Fodor, Miklós Telek

Research output: Contribution to journalArticle

19 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)944-956
Number of pages13
JournalIEEE/ACM Transactions on Networking
Issue number4
Publication statusPublished - Dec 1 2007



  • CDMA networks
  • Elastic traffic
  • Kaufman-Roberts formula
  • Reversible Markov chains
  • Soft blocking

ASJC Scopus subject areas

  • Software
  • Computer Science Applications
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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