Modeling and analysis of telecommunications networks

Modeling and analysis of telecommunications networks / Jeremiah F. Hayes, Thimma V.J. Ganesh Babu.

This book covers at an advanced level mathematical methods for analysis of telecommunication networks. The book concentrates on various call models used in telecommunications such as quality of service (QoS) in packet-switched Internet Protocol (IP) networks, Asynchronous Transfer Mode (ATM), and Ti...

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Bibliographic Details
Main Author: Hayes, Jeremiah F., 1934-
Other Authors: Babu, Thimma V. J. Ganesh
Format: eBook
Language:English
Published: Hoboken, N.J. : Wiley-Interscience, ©2004.
Subjects:
Telecommunication systems.
telecommunication systems.
TECHNOLOGY & ENGINEERING > Telecommunications.
Telecommunication systems
Online Access:Click for online access
Table of Contents:
  • 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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