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

详细信息    查看全文

• 作者：Jeongsim Kim and Bara Kim
• 关键词：GI/M/1 type Markov chain ; Stationary distribution ; Loss probability ; Maximal eigenvalue ; Matrix ; valued function
• 刊名：Queueing Systems
• 出版年：2007
• 出版时间：September, 2007
• 年：2007
• 卷：57
• 期：1
• 页码：47-55
• 全文大小：360 KB

文摘

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.