The GI/G/1 Queuing System With Bulk Service

In the paper, the instantaneous distribution of the GI/G/1 queuing system with bulk service is reasearched. First,the theory of the Markov skeleton process and the GI/G/1 queuing system is introduced completely. Then, the instantaneous distribution of the GI/G/1 queuing system with bulk service is studied. The Markov skeleton process is gotten by the introduing variates method. Based on this, using the corresponding theory of the GI/G/1 queuing system and the Markov skeleton process, the equation related to the instantaneous distribution of the team length of the queuing system with bulk service is provided. And the probablity distribution of the system is the minimum negative solution of the equation.