Performance Analysis of Communications Networks and Systems [Paperback]

A rigourous and self-contained graduate text covering methods to assess the performance of networked systems.This rigorous and self-contained book describes mathematical and in particular, stochastic methods to assess the performance of networked systems.It consists of three parts. The first contains a review of probability theory. Part two treats the classical theory of stochastic processes (Poisson, Renewal, Markov and queueing theory) which are considered as the inevitable basic building blocks appearing in performance evaluation studies. Part three focuses on the relatively new field of the physics of networks. Containing problems and solutions, this book is ideal for graduate students taking courses in performance analysis.This rigorous and self-contained book describes mathematical and in particular, stochastic methods to assess the performance of networked systems.It consists of three parts. The first contains a review of probability theory. Part two treats the classical theory of stochastic processes (Poisson, Renewal, Markov and queueing theory) which are considered as the inevitable basic building blocks appearing in performance evaluation studies. Part three focuses on the relatively new field of the physics of networks. Containing problems and solutions, this book is ideal for graduate students taking courses in performance analysis.This rigorous and self-contained book describes mathematical and, in particular, stochastic methods to assess the performance of networked systems. It consists of three parts. Part one is a review of probability theory. Part two covers the classical theory of stochastic processes (Poisson, renewal, Markov, and queuing theory), which are considered to be the basic building blocks for performance evaluation studies. Part three focuses on the relatively new field of the physics of networks. This part deals with the recently obtained insights that many very different large complex networks - such as the Internet, World Wide Web, l£5