A MAP/PH1, PH2/1 system with two types of heterogeneous service, setup, closedown, vacation, immediate feedback, breakdown and repair Online publication date: Thu, 14-Jul-2022
by G. Ayyappan; R. Gowthami
International Journal of Mathematics in Operational Research (IJMOR), Vol. 22, No. 3, 2022
Abstract: In this article, we examine a classical queueing model with single unreliable server which can offer two types of heterogeneous services namely, types I and II. Customers reach the system by following the Markovian arrival process (MAP). The service times of both types of services are considered to be phase-type (PH) distributed. We have considered a service clock which begins at the commencement of the service after the setup/repair process and immediate feedback for the unsatisfied customers. If the service clock expires, the server will start the closedown process and consequently goes on vacation. The assumptions of our model have greater significance on small-scale industries. By utilising the matrix-analytic method, we have examined our model and investigated the active period and the waiting time distribution of our model. We have also carried out the cost analysis for our model. At the end, some numerical and graphical exemplifications are presented for clear insight into our model.
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 Mathematics in Operational Research (IJMOR):
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
Our Blog 
Follow us on Twitter 
Visit us on Facebook