Document Type
Article
Publication Date
10-1-2008
Publication Title
Queueing Systems
Abstract
We solve for the asymptotic periodic distribution of the continuous time quasi-birth-and-death process with time-varying periodic rates in terms of R^ and G^ matrix functions which are analogues of the R and G matrices of matrix analytic methods. We evaluate these QBDs numerically by solving for R^ numerically.
Repository Citation
Margolius, Barbara H., "The Matrices R and G of Matrix Analytic Methods and The Time-Inhomogeneous Periodic Quasi-Birth-and-Death Process" (2008). Mathematics and Statistics Faculty Publications. 238.
https://engagedscholarship.csuohio.edu/scimath_facpub/238
DOI
10.1007/s11134-008-9090-9
Version
Postprint
Publisher's Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s11134-008-9090-9
Volume
60
Issue
42737