Variance-Time Curve for Packet Streams Generated by Exponentially Distributed ON/OFF Sources

Author

Lazarou, G.Y. ; Frost, V.S.

Author_Institution

New York City Transit, New York, NY, USA

Volume

11

Issue

6

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

552

Lastpage

554

Abstract

In this letter we provide a solution to an open problem in network traffic characterization. Specifically we present a closed-form expression of the variance-time curve for a packet stream generated by exponentially distributed ON/OFF sources. So far, the variance-time curve for such processes was obtained by numerical analysis at the desired time scales. We also show that under low and medium loads, the variance-time curve obtained by approximating the ON/OFF/Exponential source as a stationary fluid source is over-estimated. Lastly, as a by-product of our analysis, we present a new mathematical identity based on the incomplete Gamma function.

Keywords

packet switching; telecommunication traffic; exponentially distributed ON-OFF source; incomplete Gamma function; network traffic characterization; packet streams generation; variance-time curve; Aggregates; Character generation; Cities and towns; Closed-form solution; Numerical analysis; Probability density function; Quantum computing; Telecommunication traffic; Time measurement; Traffic control;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2007.07102331

Filename

4257462