Simulated analysis of a two server queuing system

Queuing system modeling is one of the most important and fertile subjects in modeling domain in general and Mathematics in particular. There is a huge literature available for theoretical models but the actual difficulty is in implementation as we most often come across huge differences between what we have derived theoretically and what we witness in the actual system. This paper is an exploration towards bridging that gap between theory and reality. In this paper we consider the Able-Baker problem, a two server queuing system with Markovian parameter distributions –Inter-Arrival time and Service time distributions. We simulated such a system, obtain four measures-the number of customers in system and queue, the waiting time in system and queue-and compared those with M|M|1 and M|M|2 theoretical systems with the same parameters used for simulation and have empirically viewed the gap between theory and real system and a possible bound to expect in real systems when we start with theoretical models.