A single server queue with finite-geometric-cluster arrival process

Author

Zhang, Zhensheng

Author_Institution

Center for Telecommun. Res., Columbia Univ., New York, NY, USA

fYear

1991

Firstpage

1329

Abstract

A single server queuing system with a finite-geometric-cluster arrival process which is bursty and highly correlated is considered. The concept of the finite-geometric-cluster process (FGCP) is introduced. The queueing analysis is carried out assuming that the arrival process is a FGCP. The results presented have a wide range of applications in computer and communication systems when successive arrivals are correlated. Expressions for the generating functions of the queue size and the queue size distribution are given. The influence of the correlation and burstiness of the packet arrival stream is investigated. Results obtained are discussed

Keywords

queueing theory; telecommunication networks; arrival process; burstiness; communication systems; computer systems; correlation; finite-geometric-cluster process; packet arrival stream; queue size; queue size distribution; queueing analysis; single server queue; Asynchronous transfer mode; Bandwidth; Communication switching; Data communication; Multiplexing; Queueing analysis; Solid modeling; Statistics; Submillimeter wave measurements; Submillimeter wave technology;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, 1991. ICC '91, Conference Record. IEEE International Conference on

Conference_Location

Denver, CO

Print_ISBN

0-7803-0006-8

Type

conf

DOI

10.1109/ICC.1991.162227

Filename

162227