| The two-stage tandem queueing system M(x) /M/ câ†'/M(r)/1/ K is mainly studied in this paper.Many scholars researched the tandem queueing system,and received a lot of consequences,but for the discussion of the customers arriving in batch and served in batch is little.The sufficient-necessary conditions for the system stability were presented by means of matrix analysis theory and probability theory,and the distribution of stationary queue length and its algorithm were obtained.At the same time,the paper introduces the definitions of the stage-â… service blocked time,the first-class and the second-class batch of waiting times,the batch of sojourn time,and obtain their distributions respectively.We can also get busy time distributions of the stage-â… and the whole system. |
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