Machine learning analysis of queues with MAP, Reneging, Phase Type services, vacations and repairs

Abstract

In the Queueing systems, the system having the standby server (SS) whenever the main server (MS) caused by breakdowns in many real life situations in the area of computer network systems. The customers arrival follows Markovian arrival process and the service process consider under phase-type distributions. The value of machine learning technology has been acknowledged by most businesses that deal with big amounts of data. Organizations can work more effectively or gain an advantage over competitors by gleaning insights from this data --- frequently in real time. Using Matrix Analytic Method, we investigated the number of customers in the orbit under stationary probability vector. We examine the busy period, cost analysis for optimization and few characteristics of the system performance measures. We evaluate some numerical and graphical representation for the elucidation of our proposed model.