Paper Info
Title
The Ph-T/Ph-T/Infinity Queueing System: Part I - The Single Node
Abstract
We develop a numerically exact method for evaluating the time-dependent mean, variance, and higher-order moments of the number of entities in a Ph-t/Ph-t/infinity queueing system. We also develop a numerically exact method for evaluating the distribution function and moments of the virtual sojourn time for any time t; in our setting, the virtual sojourn time is equivalent to the service time for virtual entities arriving to the system at that time t. We include several examples 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.1040.0070
INFORMS JOURNAL ON COMPUTING
Keywords
DocType
Volume
queues, algorithms, phase-type distribution, nonstationary processes, infinite server
Journal
16
Issue
ISSN
Citations 
3
1091-9856
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Barry L. Nelson19418.44
Michael R. Taaffe26417.75