Performance Evaluation of a Queue Fed by a Poisson Lomax Burst Process

Author

Jiongze Chen ; Addie, Ronald G. ; Zukerman, Moshe ; Neame, Timothy D.

Author_Institution

Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, China

Volume

19

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

367

Lastpage

370

Abstract

We consider a special case of the M/G/∞ traffic process, named as Poisson Lomax Burst Process (PLBP), where the burst lengths follow the Lomax distribution. We illustrate its advantage in modelling Internet traffic flow sizes, particularly, its ability to capture a large number of small flows. We provide two approximations based on analytical and fast simulation methods for the overflow probability of a single server queue fed by PLBP, and illustrate their accuracy by discrete-event simulations.

Keywords

Internet; probability; queueing theory; stochastic processes; telecommunication traffic; Internet traffic flow size modelling; Lomax distribution; M/G/∞ traffic process; PLBP; Poisson Lomax burst process; discrete-event simulations; overflow probability; queue performance evaluation; single server queue; Analytical models; Approximation methods; Internet; Performance evaluation; Random variables; Simulation; Streaming media; Lomax; Long Range Dependence Process; Long range dependence process; Pareto; Queueing analysis; Traffic modelling; queueing analysis; traffic modelling;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2014.2385083

Filename

6994748