Title
A matrix continued fraction approach to multiserver retrial queues.
Abstract
We consider basic M/M// (≥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// retrial queues with large value of .
Year
DOI
Venue
2013
10.1007/s10479-011-0840-4
Annals OR
Keywords
Field
DocType
Multiserver retrial queue,Level-dependent QBD,Matrix continued fraction,Call center,Resource dimensioning,System planning
Mathematical optimization,Matrix (mathematics),Computer science,Queue,Server,Stationary distribution
Journal
Volume
Issue
ISSN
202
1
0254-5330
Citations 
PageRank 
References 
15
0.80
15
Authors
4
Name
Order
Citations
PageRank
Tuan Phung-Duc17020.02
Hiroyuki Masuyama28611.53
Shoji Kasahara321028.10
Yutaka Takahashi46512.25