Some results on the self-similarity property in communication networks

Shibin Song*, Joseph K Y NG, Bihai Tang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

60 Citations (Scopus)


Due to the strong experimental evidence that packet network traffic is self-similar in nature, it is important to study the problems to see whether the superposition of self-similar processes retains the property of self-similarity, and whether the service of a server changes the self-similarity property of the input traffic. In this letter, we first discuss some definitions and superposition properties of self-similar processes. We obtain some good results about the property of merging self-similar data streams. Then we present a model of a single server with infinite buffer and prove that when the queue length has finite second-order moment, the input process, being strong asymptotically second-order self-similar (sas-s), is equivalent to the output process which also bears the sas-s property.

Original languageEnglish
Pages (from-to)1636-1642
Number of pages7
JournalIEEE Transactions on Communications
Issue number10
Publication statusPublished - Oct 2004

Scopus Subject Areas

  • Electrical and Electronic Engineering

User-Defined Keywords

  • Long-range dependent
  • Packet networks
  • Self-similar
  • Short-range dependent


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