Fluid model driven by an M/M/1 queue with multiple exponential vacations

Author

Wang, Fuwei ; Mao, Bingwei ; Tian, Naishuo

Author_Institution

Coll. of Inf. Sci. & Eng., Yanshan Univ., Qinhuangdao, China

Volume

3

fYear

2010

fDate

27-29 March 2010

Firstpage

112

Lastpage

115

Abstract

This paper studies a fluid model driven by an M/M/1 queue with multiple exponential vacations. The Laplace transform of the steady-state distribution of the buffer content is expressed through the minimal positive solution to a crucial quadratic equation. Then the performance measure-mean buffer content is obtained. Finally, using some numerical examples, we present the parameter effect on the mean buffer content.

Keywords

Laplace transforms; exponential distribution; fluid mechanics; queueing theory; Laplace transform; M/M/1 queue; crucial quadratic equation; fluid model; minimal positive solution; multiple exponential vacation; performance measure mean buffer content; steady-state distribution; Buffer storage; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; Information science; Laplace equations; Mathematical model; Queueing analysis; Steady-state; Stochastic systems; Buffer content; Fluid queue; Laplace transform; M/M/1 vacation queue;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Computer Control (ICACC), 2010 2nd International Conference on

Conference_Location

Shenyang

Print_ISBN

978-1-4244-5845-5

Type

conf

DOI

10.1109/ICACC.2010.5486753

Filename

5486753