Approximate Analytical Performance Evaluation of Synchronous Bufferless Optical Packet-Switched Networks

Introduction to the Special Issue on the French–Polish Collaboration in Mathematical Models of Computer Systems, Networks and Bioinformatics

“…Diffusion approximations also became a favourite research topic for Prof. Czachorski who continues actively in this direction to this day, for instance, in [23,33,37], and also [28,31,32,[34][35][36], among many other papers, very often in close collaboration with my former PhD student Dr Ferhan Pekergin of the University of Paris-Nord, with my former PhD students Prof. Tülin Atmaca [8] and Jean-Michel Fourneau [52]. Professor Czachorski's team has also developed related work on the performance of high-speed data networks [27,41,131].…”

Optical interconnection networks with time slot routing

“…The analysis of a TDM channel with a Poisson input stream should apply to time slot routing, but it is rather complex as the discrete and continous time domains are intermixed [2], and so we reverted to simulations. Defl ection routing could be evaluated analytically too, but its analysis is diffi cult and gives approximate results [5]. We evaluated the network throughput, the number of dropped packets, the admission queue delay, the total delay, and the admission queue size.…”