Steady state analysis of a bulk arrival general bulk service queueing system with modified M-vacation policy and variant arrival rate
by M. Balasubramanian, R. Arumuganathan
International Journal of Operational Research (IJOR), Vol. 11, No. 4, 2011

Abstract: In this paper, a M_[X]/G (a, b)/1 queueing system with modified M-vacation policy and variant arrival rate is considered. After a service completion, if the number of waiting customers is less than a, then the server avails of multiple vacations till the queue length reaches a or consecutively avail of M number of vacations, whichever occurs first. After completing the Mth vacation, if the queue length is still less than a then the server remains in the system till it reaches a. The server starts the service only if the queue length ξ≥a, with a batch of min (ξ,b) customers, where b≥a. It is considered that the arrival rate is dependent on the state of the server. The steady state queue size distribution at an arbitrary time is obtained. The expected queue length, waiting time, length of busy and idle periods are derived. Numerical illustration is also presented.

Online publication date: Sat, 14-Feb-2015

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
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:

Username:        Password:          Forgotten your 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