Title :
Fluid Model Driven by an M/M/1 Queue with Exponential Vacation
Author :
Mao, Bingwei ; Wang, Fu-wei ; Tian, Naishuo
Author_Institution :
Coll. of Inf. Sci. & Eng., Yanshan Univ., Qinhuangdao, China
Abstract :
This paper studies a fluid model driven by an M/M/1 queue with single exponential vacation. 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 which is independent of the vacation parameter, is obtained. Finally, using some numerical examples, we present the parameter effect on the mean buffer content.
Keywords :
Laplace transforms; differential equations; queueing theory; Laplace transform; M/M/l queue; exponential vacation parameter; fluid model; mean buffer content steady-state distribution; quadratic equation; Equations; Fluids; Laplace equations; Mathematical model; Queueing analysis; Steady-state; Stochastic processes; Buffer content; Fluid queue; Laplace transform; M/M/1 vacation queue;
Conference_Titel :
Information Technology and Computer Science (ITCS), 2010 Second International Conference on
Conference_Location :
Kiev
Print_ISBN :
978-1-4244-7293-2
Electronic_ISBN :
978-1-4244-7294-9
DOI :
10.1109/ITCS.2010.138
