Use of Waiting Time in theM^X/G(a,b)/1 Queuing System with Interruptions and Secondary Services

Abstract

In this paper, we have discussed a method for the management of waiting in   system by utilizing distinct waiting times for service arrivals and server breakdowns. With this approach, we are able to process large batches of items in the most efficient manner while also catering to the requirements of large groups of people who arrive at the same time.The model is able to estimate the probability that there will be a large number of people waiting in line at any given time. In addition to this, it offers examples of how the queue size shifts over the course of time.