Performance of an MM1 Retrial Queue with Working Vacation Interruption and Classical Retrial Policy

Abstract EN

An M/M/1 retrial queue with working vacation interruption is considered.

Upon the arrival of a customer, if the server is busy, it would join the orbit of infinite size.

The customers in the orbit will try for service one by one when the server is idle under the classical retrial policy with retrial rate nα, where n is the size of the orbit.

During a working vacation period, if there are customers in the system at a service completion instant, the vacation will be interrupted.

Under the stable condition, the probability generating functions of the number of customers in the orbit are obtained.

Various system performance measures are also developed.

Finally, some numerical examples and cost optimization analysis are presented.