Published Paper Details:

The present paper deals with the batch arrival single server retrial queueing system in which the arrivals occur in batches following Poisson process and service time is generally distributed. It is assumed that the server takes vacations during idle period according to the Multiple Adapted Vacation (MAV) policy and single vacation between two consecutive services during busy period. Unexpected interruptions during service time are also considered and the interrupted service will be resumed from the point of interruption as soon as the system is fixed. The Markovian structure of the model is obtained by introducing the remaining time of service time, vacation time and repair time as supplementary variables. The queue size probabilities and mean queue lengths when the system is in different states are calculated. Since the MAV policy generalizes many other vacation policies, the steady-state results of various vacation queueing models including non-vacation case are deduced by establishing the stochastic decomposition property for vacation queues.