Approximation Problem Of Bulk Arrival GI / G / 1 Queuing System With Light Tail Distribution

GI/G/1queuing system with batch arrival is a new typequeuing system model, and Prof Hou Zhenting raised thefollowing idea: if we use a simple queuing system toapproximate a complicate queuing system, their queuing datashould approximate. In this paper we shall prove the Hou’sidea for GI/G/1queuing system with batch arrival underasspumption that batch arrival is unbounded.Firstly, we review the history of the queuing theory;Secondly，we shall introduce theory of Markov skeleton processesdeveloped by Prof Hou and his colleagues; Finally, we shallgive the transition function of the GI/G/1queuing system withbatch arrival. Finally, we prove Hou’s idea for this kind ofqueuing systems.