Telekomünikasyon ağlarının çok bölgeli akışkan kuyruk tabanlı başarım değerlendirmesi

In this thesis, a stochastic transformation method is proposed that reduces (by using sample path arguments) a certain set of performance evaluation problems to those that are described by the so-called first-order multi-regime feedback Markov fluid queues (FMFFQ). In addition, we provide differential equations and boundary conditions for the solvability of such fluid queues and wepropose computationally efficient and stable numerical algorithms to find their steady-state performance measures. We apply this method to a number of scenarios, the queueing analysis of which are already available in the literature, with the goal of demonstrating thegenerality of this approach. The real value we add is to use this method to solve exactly the queueing systems for which exact analytical methods were not available and we present three such problems.In the first problem, we explore the steady-state behavior of the unfinished work (also called the horizon parameter) in a multi-class optical burst switching (OBS) network using different offset times for each traffic class for the purpose of service differentiation.We find the exact distribution of the horizon parameter and per-class blocking probabilities in the steady-state by transforming the horizon process into an FMFFQ.In the second problem, we study the steady-state behavior of an optical buffer using fiber delay lines (FDLs). Assuming a Markovian optical packet arrival process with phase-type distributed service times, we propose an exact FMFFQ-based solution for the steady-state distribution of the schedulinghorizon and hence various other performance measures including packet blocking probability and expected delay. In the third problem, we find the steady-state joint probability density functions of FMFFQs with hysteretic control (FMFFQ-H in short). Furthermore, we show that it is possible to find the steady-state performance measures of a number of queueuing system with hysteretic control by transforming these suitably to FMFFQ-Hs.