Modeling and Analysis of Telecommunications Networks

Abstract

Retrieving Files from the Wiley FTP and Internet Sites -- Performance Evaluation in Telecommunications -- Introduction: The Telephone Network -- Customer Premises Equipment -- The Local Network -- Long-Haul Network -- Switching -- The Functional Organization of Network Protocols -- Approaches to Performance Evaluation -- Queueing Models -- Basic Form -- A Brief Historical Sketch -- Computational Tools -- Probability and Random Processes Review -- Basic Relations -- Set Functions and the Axioms of Probability -- Conditional Probability and Independence -- The Law of Total Probability and Bayes' Rule -- Random Variables--Probability Distributions and Densities -- The Cumulative Distribution Function -- Discrete Random Variables -- Continuous Random Variables -- Joint Distributions of Random Variables -- Probability Distributions -- Joint Moments -- Autocorrelation and Autocovariance Functions -- Linear Transformations -- Single Variable -- Sums of Random Variables -- Transformed Distributions -- Inequalities and Bounds -- Markov Chains -- The Memoryless Property -- State Transition Matrix -- Steady-State Distribution -- Random Processes -- Defintion: Ensemble of Functions -- Stationarity and Ergodicity -- Markov Processes -- Application of Birth and Death Processes to Queueing Theory -- Elements of the Queueing Model -- Little's Formula -- A Heuristic -- Graphical Proof -- Basic Relationship for the Single-Server Queue -- The Poisson Process -- Basic Properties -- Alternative Characterizations of the Poisson Process.

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