Probability -- Random Processes -- Markov Chains -- Markov Chains at Equilibrium -- Reducible Markov Chains -- Periodic Markov Chains -- Queuing Analysis -- Modeling Traffic Flow Control Protocols -- Modeling Error Control Protocols -- Modeling Medium Control Protocols.

This textbook presents the mathematical theory and techniques necessary for analyzing and modeling high-performance global networks, such as the Internet. The three main building blocks of high-performance networks are links, switching equipment connecting the links together, and software employed at the end nodes and intermediate switches. This book provides the basic techniques for modeling and analyzing these last two components. Topics covered include, but are not limited to: Markov chains and queuing analysis, traffic modeling, interconnection networks and switch architectures and buffering strategies.   ·         Provides techniques for modeling and analysis of network software and switching equipment; ·         Discusses design options used to build efficient switching equipment; ·         Includes many worked examples of the application of discrete-time Markov chains to communication systems; ·         Covers the mathematical theory and techniques necessary for analyzing telecommunication systems; ·         Discusses applications of Markov chains and queuing analysis to model over 15 communications protocols and hardware components.