Title
The [Ph-T/Ph-T/Infinity](K) 100](K) Queueing System: Part Ii - The Multiclass Network
Abstract
We demonstrate a numerically exact method for evaluating the time-dependent mean, variance, and higher-order moments of the number of entities in the multiclass [Ph-t/Ph-t/infinity](K) queueing network system, as well as at the individual network nodes. We allow for multiple, independent, time-dependent entity classes and develop time-dependent performance measures by entity class at the nodal and network levels. We also demonstrate a numerically exact method for evaluating the distribution function and moments of virtual sojourn time through the network for virtual entities, by entity class, arriving to the system at time t. We include an example using software that we have developed and have put in downloadable form in the Online Supplement to this paper on the journal's website.
Year
DOI
Venue
2004
10.1287/ijoc.1040.0071
INFORMS JOURNAL ON COMPUTING
Keywords
DocType
Volume
queues, algorithms, phase-type distribution, nonstationary processes, queueing networks, infinite server
Journal
16
Issue
ISSN
Citations 
3
1091-9856
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
Barry L. Nelson19418.44
Michael R. Taaffe26417.75