We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Dominant poles and tail asymptotics in the critical Gaussian many-sources regime.
- Authors
Janssen, A.; van Leeuwaarden, J.
- Abstract
The dominant pole approximation (DPA) is a classical analytic method to obtain from a generating function asymptotic estimates for its underlying coefficients. We apply DPA to a discrete queue in a critical many-sources regime, in order to obtain tail asymptotics for the stationary queue length. As it turns out, this regime leads to a clustering of the poles of the generating function, which renders the classical DPA useless, since the dominant pole is not sufficiently dominant. To resolve this, we design a new DPA method, which might also find application in other areas of mathematics, like combinatorics, particularly when Gaussian scalings related to the central limit theorem are involved.
- Subjects
SADDLEPOINT approximations; QUEUEING networks; QUEUING theory; GENERATING functions; RANDOM variables
- Publication
Queueing Systems, 2016, Vol 84, Issue 3/4, p211
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-016-9499-5