Flow Time Analysis of Phase Type Queueing System Using Matrix Geometric Method

Abstract

Mean flow time analysis is the efficient way to trace the flow of customers in various systems. In this paper we develop three different quasi birth death systems employing a vector form phase type distribution to analyze the flow time of customers in the system. These systems are solved through a special vector domain analytical technique called matrix geometric method. The resulting submatrices are used to obtain the mean flow time of these systems. We analyze flow time for different QBD systems having different and same phase type distributions as an arrival or service or both processes.