System
Manfred Brandt, Konrad-Zuse-Zentrum für Informationstechnik Berlin (Koautor: Andreas Brandt)
System
Manfred Brandt, Konrad-Zuse-Zentrum für Informationstechnik Berlin (Koautor: Andreas Brandt)
In circuit switching networks call streams are characterized
by their mean and peakedness (two-moment method). The
system is used to model a single link, where the 
-stream is
determined by fitting moments appropriately. For the moments of
the overflow traffic of a system there are efficient
numerical algorithms available. However, for the moments of the
freed carried traffic, defined as the moments of a virtual link
of infinite capacity to which the process of calls accepted
by the link (carried arrival process) is virtually directed
and where the virtual calls get fresh exponential i.i.d. holding
times, only complex numerical algorithms are available. This is
the reason why the concept of the freed carried traffic is not
used rigorously. The main result of this talk is an efficient
algorithm for computing the moments of the freed carried traffic,
in particular an explicit formula for its peakedness. This result
offers a unified handling of both overflow and carried traffics
in networks. Furthermore, some refined characteristics for the
overflow and freed carried streams are derived.
| E-Mail: | brandt@zib.de |
| Homepage: | www.zib.de/brandt/ |