Stationary solution to a tandem fluid queue with input controlled by exponential timer Online publication date: Tue, 29-Jul-2014
by A. Vijayakumar; S. Sophia
International Journal of Operational Research (IJOR), Vol. 18, No. 1, 2013
Abstract: A tandem fluid queue with multiple consecutive buffers connected in series is considered. The output of the (j − 1)th buffer is the input to the jth buffer and the first buffer is fed by a number of independent homogeneous on-off sources. The sources have exponentially distributed silent periods, active periods following general distribution and are controlled by an exponential timer. The buffer contents are obtained for the first and subsequent buffers in terms of Laplace transforms. Explicit expressions for the buffer content of the first buffer fed by a single source are obtained for the fluid queue driven by M/M/1 and M/M/2 queues. Expressions are also found for the contents of subsequent buffers when the first buffer is fed by multiple sources. Some of the known results are deduced from the results obtained. Numerical illustrations are provided to display the trend of the average buffer content for the models under consideration.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Operational Research (IJOR):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com