Title
Point of queue size change analysis of the PH/PH/k system with heterogeneous servers.
Abstract
By observing the points only when the queue size changes, we study the PH/PH/k system with heterogeneous servers. We develop Markov chain set ups that are more efficient than studying the systems at arbitrary times, by reducing the sizes of matrices that need to be computed. Specifically we present procedures for constructing the associated Markov chains so one may use matrix-analytic methods for their analysis. This work is carried out for both the continuous and discrete time cases.
Year
DOI
Venue
2017
10.1016/j.orl.2017.09.004
Operations Research Letters
Keywords
Field
DocType
PH/PH/k system,Point of queue size change analysis,Continuous time and discrete time
Combinatorics,Matrix (mathematics),M/G/1 queue,Server,Markov chain,Queue,M/G/k queue,Discrete time and continuous time,Size change,Mathematics
Journal
Volume
Issue
ISSN
45
6
0167-6377
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Attahiru Sule Alfa151071.89
Qi-Ming He223034.21