Creat membership Creat membership
Sign in

Forgot password?

Confirm
  • Forgot password?
    Sign Up
  • Confirm
    Sign In
Creat membership Creat membership
Sign in

Forgot password?

Confirm
  • Forgot password?
    Sign Up
  • Confirm
    Sign In
Collection
For ¥0.57 per day, unlimited downloads CREATE MEMBERSHIP Download

toTop

If you have any feedback, Please follow the official account to submit feedback.

Turn on your phone and scan

home > search >

Author:
Thangaraj, V.   Vanitha, S.  


Journal:
Stochastic Analysis and Applications


Issue Date:
2009


Abstract(summary):

We study a two phase M/G/1 queueing system with Bernoulli feedback where the server takes multiple vacation. All the Poisson arrivals with mean arrival rate (0) demand first essential service, whereas only some of them demand second optional service. The service times of the first essential service are assumed to follow a general distribution function B1(v) and that the second optional service with general distribution with distribution function B2(v). However after completion of the first service or second service, if the customer is dissatisfied with its service, he can immediately join the tail of the queue as a feedback customer for receiving another regular service with probability p. Otherwise the customer may depart forever from the system with probability q=1 -p. If there is no customer in the queue, then the server goes for vacation and the vacation periods are exponentially distributed with mean vacation time [image omitted]. On returning from vacation if the server again founds no customer waiting in the queue, then it again goes for vacation. The server continues to go for vacation until he finds at least one customer in the system. We find the time-dependent probability generating functions in terms of their Laplace transforms and derive explicitly the corresponding steady state results. Further we find explicit expressions for the mean queue length and mean waiting time.


Page:
1231-1245


VIEW PDF

The preview is over

If you wish to continue, please create your membership or download this.

Create Membership

Similar Literature

Submit Feedback

This function is a member function, members do not limit the number of downloads