Applied Methods for some Planning and Analysis Problems in Telecommunications Networking
Hung Tuan Tran · 2002
The dissertation deals with two important issues in telecommunications networking, namely with network planning and with analytical performance evaluation. The main topics are presented according to their elaboration order. The first part of the present dissertation deals with the task of topology optimization for an ATM network overlaid in the SDH infrastructure. The scientific contributions of this part are: • an exact mathematical formulation of the topology planning task for an ATM network to be built on top of the existing SDH infrastructure, • a proposal and elaboration of the practical solution for this topology optimization task. The other parts of the dissertation deal with numerical methods of two dimensional markovian processes. The scientific contributions can be summarized in two groups. The first group is concerned with QBD processes related issues, that cover the followings: • a survey and a complete quantitative comparison of numerical methods for QBD processes, • proposals based on extensive experiments for the issue of what numerical method is more advisable to use under given conditions. The second contribution group pertains to QBD-M processes, their theory and applications: • an overview of the QBD-M model and its application range along with a survey on the latest numerical methods for QBD-M processes, • proposal of two alternative numerical methods for infinite QBD-M processes and of a numerical method for finite QBD-M processes, • model construction for performance analysis of a node performing multipath routing in MPLS networks, of an ATM concentrator and of a scheduling mechanism in DiffServ architecture, • an in-depth performance comparison of some existing and newly developed numerical methods.