The Study On The Recurrent Of The Generalized M/G/1 Queuing Model

This paper first studies the recurrent and the transient of the M/G/1 queuing model, and the symmetric model of M/G/1 queue model are studied. Through to investigate the relationship between the both first returning speed, get the relationship between the recurrent or the transient of two markov chains. In addition to the M/G/1 queuing model is more general, namely change the k rows element of state transition matrix of M/G/1 queuing model to get a new state transition matrix, we name it as the generalized M/G/1 queuing model. Via the same method, we study the relationship with its symmetrical model.