On fluid queueing systems with strict priority

Author

Liu, Yong ; Gong, Weibo

Author_Institution

Comput. Sci. Dept., Univ. of Massachusetts, Amherst, MA, USA

Volume

48

Issue

12

fYear

2003

Firstpage

2079

Lastpage

2088

Abstract

We consider priority fluid queueing systems where high-priority class has strict priority access to service. Sample path analysis tools, such as Poisson counter driven stochastic differential equation, are employed to study system queueing behavior in steady state. We are able to obtain various analytical results for different fluid traffic models and system configurations. Those results can be used as a general rule of thumb in buffer dimensioning and other traffic engineering issues.

Keywords

correlation methods; differential equations; queueing theory; stochastic processes; telecommunication traffic; Poisson counter; buffer dimensioning; fluid queuing system; fluid traffic model; sample path analysis tool; steady state; stochastic differential equation; system configuration; system queuing behavior; tandem fluid system; traffic autocorrelation; traffic engineering issue; Autocorrelation; Counting circuits; Delay; Differential equations; Quality of service; Queueing analysis; Steady-state; Stochastic systems; Telecommunication traffic; Traffic control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.820060

Filename

1254078