Self-averaging property of queuing systems

A. A. Vladimirov, A. N. Rybko, S. B. Shlosman

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We establish an averaging property for a one-server queuing process, M(t)/G/1. It is a new relation between the output flow rate and the input flow rate, crucial in the study of the Poisson hypothesis. Its implications include the statement that the output flow always possesses more regularity than the input flow.

Original languageEnglish
Pages (from-to)344-355
Number of pages12
JournalProblems of information transmission
Volume42
Issue number4
DOIs
Publication statusPublished - Dec 2006
Externally publishedYes

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