We studied M / M/1 queuing modle in the literature [1] that the new customer join in system with probability (?) and service rateμ( k) is a constantμwhen the system captain is k , then we studied M / M/1 queuing modle when input rateλ( k) is an unchanged numberλ, and service rate (?) Meanwhile , we studied M / M /n queuing modle when input rate and service rate remain immovable all the time, gained the system stable distribution and key indicators.This article is a comprehensive result. At first, we discuss M / M /n queuing modle that input rateλ( k) is a constantλ, service rate and (?) ; at second, we discuss M / M /n queuing modle which the new customer join in system with probabilityαk = ???1 a, k ? n . iiff 0k≤≥kn (≤0 n a1≤1),and service rateμ( k) is a constantμ. Through to birth and death process, we obtain stationary distribution, average captain, other major indicators, and model of empirical analysis in this paper.
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