A matrix continued fraction approach to multiserver retrial queues
A matrix continued fraction approach to multiserver retrial queues
复制标题
DOI：
10.1007/s10479-011-0840-4
复制
发表时间：
2011-01
影响因子：
4.8
通讯作者：
Tuan Phung-Duc;H. Masuyama;S. Kasahara;Yutaka Takahashi
中科院分区：
文献类型：
--
作者：
Tuan Phung-Duc;H. Masuyama;S. Kasahara;Yutaka Takahashi
我们考虑基本的M/M/c/c(c≥1)重试队列，其中繁忙服务器的数量和轨道上的客户数量形成一个具有特殊结构的级别依赖的准生死(QBD)过程。基于这种结构和矩阵连分式方法，我们开发了一种有效的算法来计算繁忙服务器和重试客户数量的联合平稳分布。通过数值实验，我们证明我们的算法即使对于具有大值 ofc 的 M/M/c/crecial 队列也能很好地工作。
We consider basic M/M/c/c(c≥1) retrial queues where the number of busy servers and that of customers in the orbit form a level-dependent quasi-birth-and-death (QBD) process with a special structure. Based on this structure and a matrix continued fraction approach, we develop an efficient algorithm to compute the joint stationary distribution of the numbers of busy servers and retrial customers. Through numerical experiments, we demonstrate that our algorithm works well even for M/M/c/cretrial queues with large value ofc.