Analysis of a multiserver queueing inventory model with self-service
by K. Rasmi; M.J. Jacob
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 11, No. 3, 2021

Abstract: This paper considers a Markovian queueing inventory system with c servers and optional self-service facility, driven by an inventory under the (s, S) protocol. When an arrival occurs, if both an idle server and free inventory are available, then service by a server is initiated. If a customer on arrival finds all servers active but free inventory available, then he can either wait for the server (join the waiting line) or go for a self-service. A modified case of the framework has been analysed by changing the presumption that in the event when an arriving customer finds all the servers active, but a few inventories free will choose to have self-service. Here also we obtain steady-state probabilities and express a cost function in terms of some important performance measures. We made a point to point investigation on recycle time. A cost optimisation problem has been stated and numerically solved. Also, the impacts of certain parameters on a few performance measures are moreover outlined numerically.

Online publication date: Thu, 29-Jul-2021

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 Mathematical Modelling and Numerical Optimisation (IJMMNO):
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