Article ID: | iaor2013208 |
Volume: | 73 |
Issue: | 2 |
Start Page Number: | 119 |
End Page Number: | 146 |
Publication Date: | Feb 2013 |
Journal: | Queueing Systems |
Authors: | Whitt Ward, Pang Guodong |
Keywords: | simulation |
This paper is a sequel to our 2010 paper in this journal in which we established heavy‐traffic limits for two‐parameter processes in infinite‐server queues with an arrival process that satisfies an FCLT and i.i.d. service times with a general distribution. The arrival process can have a time‐varying arrival rate. In particular, an FWLLN and an FCLT were established for the two‐parameter process describing the number of customers in the system at time