The Study On First Returning Speed Of A Type Of Geom/G/1 Queuing Model

In this paper, the recurrent and the transient of the generalized Geom/G/1 queuing model have been discussed,we substituted the first row elements of the transition matrix of the Geom/G/1 queuing model.And the new model is nom-inated Geom/G/1 queuing model.Above all,the recurrent,the transient and the first returning speed of the Geom/G/1 queuing model are discussed.This paper is organized as four chapters:In section 1,we present an introduction of research background and the pro-cess of development of Markov chains in modern times,and emphatically introduce the related research results for the paper.In section 2,we focus on the basic notions,main results and some related lemmas used in this paper.In section 3,the recurrent and transient of the innovative Geom/G/1 queuing model are discussed.In section 4,the first returning speed is discussed in the case of v≤l,u<∞ ,w<∞ of the generalized Geom/G/1 queuing models.