Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142023 | Operations Research Letters | 2016 | 5 Pages |
Abstract
We establish a limit theorem supporting a Poisson approximation for the departure process from a multi-server queue that tends to have many busy servers. This limit can support approximating a flow out of such a queue in a complex queueing network by an independent Poisson source. The main ideas are: (i) to scale time so that previous many-server heavy-traffic limits can be applied and (ii) for time-varying arrival-rate functions, to scale (spread out) time by a large factor about each fixed time.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ward Whitt,