A catastrophic-cum-restorative queuing problem with correlated input and impatient customers
by Rakesh Kumar
International Journal of Agile Systems and Management (IJASM), Vol. 5, No. 2, 2012

Abstract: In this paper, a correlated input queuing model with catastrophic and restorative effects and customer impatience has been studied. When the system is down due to catastrophe and undergoes a restoration/repair process, each waiting customer becomes impatient and abandons the system as soon as his actual waiting time exceeds his individual (random) waiting time threshold. The customers become impatient only when the system is not working and they have no information on the time when it will become operative again. The transient solution of the stochastic queuing model has been obtained. The probability generating function of the system size has been obtained in the Laplace transform form. The expressions for expected number of customers in the system have also been obtained. At the end, some queuing models have been obtained as particular cases of this model.

Online publication date: Sun, 13-May-2012

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 Agile Systems and Management (IJASM):
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