MDA - Objectives & Methods

The proposed project “Modeling and Analysis of Traffic Processing in Future Generation Internet” deals with traffic modeling and analysis of resource management issues of an FGN employing advanced virtualization techniques. Its successful completion may strongly benefit from the synergy arising from the different backgrounds of the involved research treams. While the computer networks group at UBAM will provide the technical background on virtualization, the principle architecture of an FGN and its basic teletraffic modeling, the mathematical research group at ASM will contribute its unique knowledge and experience on the analysis of priority queueing systems which play a major role in the design of the considered technical systems.
The project will start with a state-of-the-art seminar where the current status of traffic processing in high-speed networks and relevant teletraffic models are stated and mathematical instruments regarding the analysis of priority queueing are sketched. It is the objective to generate a common technical and mathematical understanding describing the processing in virtualized systems and to provide impulses for new mathematical analysis techniques.

 

Considering the identification of traffic processing in virtualized FGNs, the monitoring of traffic flows and their analysis, Markovian and Semi-Markovian modeling techniques of teletraffic theory including MAP and MMPP theory and estimation methods for the statistical characterization of packetized steams will be employed.
System modeling of resource management in virtualized high-speed network switching nodes with buffering and scheduling algorithms will use advanced queueing network models. In particular, the theory of priority queueing processes with complicated structures, such as switchover times, must be applied to analyze major performance characteristics of the systems such as traffic coefficient and queue length distributions, state probability distributions, busy period distributions, etc. In this context, it is necessary to exploit results of renewal theory, the operational calculus in particular Tauberian and Abelian theorems as well as the apparatus of Laplace and Laplace-Stieltjes transforms to derive exact and approximate performance results and to evaluate the derived expression by advanced numerical methods.