Performance Modeling, Stochastic Networks, and Statistical Multiplexing, 2/e (Paperback)

This monograph presents a concise mathematical approach for modeling and analyzing the performance of communication networks with the aim of introducing an appropriate mathematical framework for modeling and analysis as well as understanding the phenomenon of statistical multiplexing. The models, techniques, and results presented form the core of traffic engineering methods used to design, control and allocate resources in communication networks.The novelty of the monograph is the fresh approach and insights provided by a sample-path methodology for queueing models that highlights the important ideas of Palm distributions associated with traffic models and their role in computing performance measures. The monograph also covers stochastic network theory including Markovian networks. Recent results on network utility optimization and connections to stochastic insensitivity are discussed. Also presented are ideas of large buffer, and many sources asymptotics that play an important role in understanding statistical multiplexing. In particular, the important concept of effective bandwidths as mappings from queueing level phenomena to loss network models is clearly presented along with a detailed discussion of accurate approximations for large networks. Table of Contents: Introduction to Traffic Models and Analysis / Queues and Performance Analysis / Loss Models for Networks / Stochastic Networks and Insensitivity / Statistical Multiplexing

本論文提出了一種簡潔的數學方法，用於建模和分析通信網絡的性能，旨在引入一個適當的數學框架，以進行建模和分析，並理解統計多路復用的現象。所提出的模型、技術和結果構成了通信網絡中用於設計、控制和分配資源的流量工程方法的核心。本論文的創新之處在於採用了樣本路徑方法來進行排隊模型的建模，並突出了與流量模型相關的Palm分佈的重要思想及其在計算性能指標中的作用。本論文還涵蓋了隨機網絡理論，包括馬爾可夫網絡。討論了關於網絡效用優化和與隨機不敏感性的聯繫的最新結果。還介紹了大緩衝區和多源漸近性的概念，這在理解統計多路復用中起著重要作用。特別是，將排隊水平現象映射到損失網絡模型的有效帶寬的重要概念被清晰地介紹，並詳細討論了大型網絡的準確近似方法。目錄：引言：流量模型和分析 / 隊列和性能分析 / 網絡的損失模型 / 隨機網絡和不敏感性 / 統計多路復用。