9 research outputs found
The effective bandwidth problem revisited
The paper studies a single-server queueing system with autonomous service and
priority classes. Arrival and departure processes are governed by marked
point processes. There are buffers corresponding to priority classes,
and upon arrival a unit of the th priority class occupies a place in the
th buffer. Let , denote the quota for the total
th buffer content. The values are assumed to be large, and
queueing systems both with finite and infinite buffers are studied. In the case
of a system with finite buffers, the values characterize buffer
capacities.
The paper discusses a circle of problems related to optimization of
performance measures associated with overflowing the quota of buffer contents
in particular buffers models. Our approach to this problem is new, and the
presentation of our results is simple and clear for real applications.Comment: 29 pages, 11pt, Final version, that will be published as is in
Stochastic Model
New results on the numerical stability of the stochastic fluid flow model analysis
The stochastic fluid flow model (SFF) is one of the leading models in
performance evaluation for tele- and datacommunication systems, especially in
fast packet-switching networks and ATM. However, the numerical analysis of the
SFF is widely considered to be unstable. In this paper, some investigations and
results are presented concerning the numerical stability of the SFF analysis
also for large systems with finite buffer. We identify the main source of the
numerical problems and give hints how to circumvent them. The usefulness of
different solution methods are compared and the most robust methods for systems
with large numbers of sources and large buffer sizes are identifed