Analysis of M/G/1 feedback queue with two types of services, Bernoulli vacations and random breakdowns
by M.C. Saravanarajan; V.M. Chandrasekaran
International Journal of Mathematics in Operational Research (IJMOR), Vol. 6, No. 5, 2014

Abstract: We analyse an M/G/1 feedback queueing system providing two types of services with vacations and breakdowns. Upon arrival to the system a customer can either choose type 1 service with probability p₁ or type 2 service with probability p₂ such that p₁ + p₂ = 1. After completion of each service he may join the tail of the queue with probability p, until he wishes for another service or leave the system with probability q = 1 − p. On each service completion, the server is allowed to take a vacation with probability θ or may continue service of a customer, if any, with probability 1 − θ. If no customer is found, it remains in the system until a customer arrives. The vacation times are exponentially distributed with parameter β. The system may breakdown at random and repair time follows exponential distribution with parameter η. Using supplementary variable technique, the Laplace transforms of time dependent probabilities of system state are derived. From this, we deduce the steady state results. We also obtain the average system size and average waiting time.

Online publication date: Sat, 11-Oct-2014

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