Title
The BRI algorithm for double-sides QBD process
Abstract
In this paper, we study the two-dimensional tri-diagonal quasi-birth-and-death (QBD) process with infinite blocks and the blocks are infinite double sides tri-diagonal matrices, which has an important application in queue theory such as joining the shortest queue problem. Our objective is to develop an accurate and easily implementable algorithmic approach to compute the stationary probabilities of the process. We also give the computational complexity for the algorithm and some numerical examples.
Year
DOI
Venue
2009
10.1007/978-3-642-11842-5_50
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Keywords
Field
DocType
queue theory,implementable algorithmic approach,important application,double-sides qbd process,infinite block,numerical example,infinite double side,bri algorithm,computational complexity,tri-diagonal matrix,shortest queue problem,two-dimensional tri-diagonal quasi-birth-and-death,bri,queueing theory
Bulk queue,Matrix (mathematics),Computer science,Queue,Parallel computing,Algorithm,Queueing theory,Computational complexity theory
Conference
Volume
Issue
ISSN
5938 LNCS
null
16113349
ISBN
Citations 
PageRank 
3-642-11841-0
1
0.39
References 
Authors
3
2
Name
Order
Citations
PageRank
Dinghua Shi1102.82
Hongbo Zhang2145.68