Transient analysis of M/M/C queuing model with reneging, finite capacity and population
by Binay Kumar
International Journal of Mathematics in Operational Research (IJMOR), Vol. 21, No. 1, 2022

Abstract: The present paper deals with multi-server Markovian queuing model with impatient behaviour of units. The server work in two modes: slow mode and fast mode; and changes its state from slow to fast or vice versa with some exponential distributed time parameters. When the server works in slow mode, the units may leave the system due to impatient behaviour of units. We investigate the present model by two variant, one with finite capacity and other with finite population. Transient probabilities of various states are obtained by solving the set of governing equation via Runge-Kutta method. The various system performance measures are established in terms of transient probability of the system states. The system behaviour for different parameter are analysed by using the graphs and tables.

Online publication date: Fri, 14-Jan-2022

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 Mathematics in Operational Research (IJMOR):
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