'c Policy' Batch Service Queueing System under Bernoulli Scheduled Vacation and Manual Service

’c Policy’ Batch Service Queueing System

Abstract

This paper describes discrete-time single arrival and single-batch service queue with reneging and vacation interruption, under policy 'c'.The system activates when the queue size reaches a predetermined point 'c' and serves all the units in a batch. if there is a queue size less than 'c', either server switches to manual service with the probability 'p', or the server takes a vacation with probability '(1-p)'. Once it starts manual service or takes a vacation, the same continues up to the queue size reaches 'c'. The inter-arrival and service time are considered to be independent and geometrically distributed.