TRANSFORMATIONS OF POISSON STREAMS AND THEIR APPLICATION TO COMMUNICATION SYSTEMS.

A. D. Vainshtein, A. Ya Kreinin

Research output: Contribution to journalArticlepeer-review

Abstract

Queueing systems modeling communication networks usually comprise a large number of nodes and customer streams in transit. We study the correlation properties of a sequence of transformations of a Poisson stream. The j-th transformation changes the coordinate x//i(j) of the point i according to x//i(j) equals x//i(j minus 1) plus S//i//j, j greater than equivalent to 1, where S//i//j are jointly independent positive random variables exponentially distributed with the parameter mu j, x//i(0) is the initial coordinate of the point i.

Original languageEnglish
Pages (from-to)326-334
Number of pages9
JournalProblems of Information Transmission
Volume22
Issue number4
StatePublished - Oct 1986

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Computer Networks and Communications

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