Asymptotic analysis for loss probability of queues with finite GI/M/1 type structure

作者：Kim Jeongsim; Kim Bara^*

来源：Queueing Systems, 2007, 57(1): 47-55.

DOI：10.1007/s11134-007-9045-6

• GI/M/1 type Markov chain
• stationary distribution
• loss probability
• maximal eigenvalue
• matrix-valued function

This paper discusses the asymptotic behavior of the loss probability for general queues with finite GI/M/1 type structure such as GI/M/c/K, SM/M/1/K and GI/MSP/1/K queues. We find an explicit expression for the asymptotic behavior of the loss probability as K tends to infinity. With the result, it is shown that the loss probability tends to 0 at a geometric rate.

• 出版日期2007-9