A note on bounds in the SMP fluid models

Authors
Palmowski, Z
Citation
Z. Palmowski, A note on bounds in the SMP fluid models, QUEUEING S, 38(1), 2001, pp. 77-89
Citations number
33
Categorie Soggetti
Engineering Mathematics
Journal title
QUEUEING SYSTEMS
ISSN journal
02570130 → ACNP
Volume
38
Issue
1
Year of publication
2001
Pages
77 - 89
Database
ISI
SICI code
0257-0130(2001)38:1<77:ANOBIT>2.0.ZU;2-N
Abstract
In this paper we consider a SMP fluid model when the so-called BSNE has no solution and kernel distributions of input environment processes are not he avy-tailed. We prove that in this case we still can find the upper exponent ial bound for the buffer overflow probability and give the example showing that the lower bound is impossible in general.