Modeling and analysis of telecommunications networks [electronic resource] / Jeremiah F. Hayes, Thimma V.J. Ganesh Babu.
 Publication:
 Hoboken, N.J : WileyInterscience, c2004.
 Format/Description:
 Book
1 online resource (415 p.)  Status/Location:

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Details
 Subjects:
 Telecommunication systems.
 Form/Genre:
 Electronic books.
 Language:
 English
 Summary:
 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 packetswitched Internet Protocol (IP) networks, Asynchronous Transfer Mode (ATM), and Time Division Multiplexing (TDM). Professionals, researchers, and graduate and advanced undergraduate students of telecommunications will benefit from this invaluable guidebook.An Instructor's Manual presenting detailed solutions to all the problems in the book is available online from the Wil
 Contents:
 MODELING AND ANALYSIS OF TELECOMMUNICATIONS NETWORKS; CONTENTS; Preface; Retrieving Files from the Wiley FTP and Internet Sites; 1 Performance Evaluation in Telecommunications; 1.1 Introduction: The Telephone Network; 1.1.1 Customer Premises Equipment; 1.1.2 The Local Network; 1.1.3 LongHaul Network; 1.1.4 Switching; 1.1.5 The Functional Organization of Network Protocols; 1.2 Approaches to Performance Evaluation; 1.3 Queueing Models; 1.3.1 Basic Form; 1.3.2 A Brief Historical Sketch; 1.4 Computational Tools; Further Reading; 2 Probability and Random Processes Review; 2.1 Basic Relations
2.1.1 Set Functions and the Axioms of Probability2.1.2 Conditional Probability and Independence; 2.1.3 The Law of Total Probability and Bayes' Rule; 2.2 Random VariablesProbability Distributions and Densities; 2.2.1 The Cumulative Distribution Function; 2.2.2 Discrete Random Variables; 2.2.3 Continuous Random Variables; 2.3 Joint Distributions of Random Variables; 2.3.1 Probability Distributions; 2.3.2 Joint Moments; 2.3.3 Autocorrelation and Autocovariance Functions; 2.4 Linear Transformations; 2.4.1 Single Variable; 2.4.2 Sums of Random Variables; 2.5 Transformed Distributions
2.6 Inequalities and Bounds2.7 Markov Chains; 2.7.1 The Memoryless Property; 2.7.2 State Transition Matrix; 2.7.3 SteadyState Distribution; 2.8 Random Processes; 2.8.1 Definition: Ensemble of Functions; 2.8.2 Stationarity and Ergodicity; 2.8.3 Markov Processes; References; Exercises; 3 Application of Birth and Death Processes to Queueing Theory; 3.1 Elements of the Queueing Model; 3.2 Little's Formula; 3.2.1 A Heuristic; 3.2.2 Graphical Proof; 3.2.3 Basic Relationship for the SingleServer Queue; 3.3 The Poisson Process; 3.3.1 Basic Properties
3.3.2 Alternative Characterizations of the Poisson Process3.3.3 Adding and Splitting Poisson Processes; 3.3.4 Pure Birth Processes; 3.3.5 Poisson Arrivals See Time Averages (PASTA); 3.4 Birth and Death Processes: Application to Queueing; 3.4.1 SteadyState Solution; 3.4.2 Queueing Models; 3.4.3 The M/M/1 QueueInfinite Waiting Room; 3.4.4 The M/M/1/L QueueFinite Waiting Room; 3.4.5 The M/M/S QueueInfinite Waiting Room; 3.4.6 The M/M/S/L QueueFinite Waiting Room; 3.4.7 Finite Sources; 3.5 Method of Stages; 3.5.1 Laplace Transform and Averages; 3.5.2 Insensitivity Property of Erlang B
3.5.3 The Erlang B Blocking Formula: N Lines, Homogeneous TrafficReferences; Exercises; 4 Networks of Queues: Product Form Solution; 4.1 Introduction: Jackson Networks; 4.2 Reversibility: Burke's Theorem; 4.2.1 Reversibility Defined; 4.2.2 Reversibility and Birth and Death Processes; 4.2.3 Departure Process from the M/M/S Queue: Burke's Theorem; 4.3 Feedforward Networks; 4.3.1 A TwoNode Example; 4.3.2 Feedforward Networks: Application of Burke's Theorem; 4.3.3 The Traffic Equation; 4.4 Product Form Solution for Open Networks; 4.4.1 Flows Within Feedback Paths
4.4.2 Detailed Derivation for a TwoNode Network  Notes:
 "A WileyInterscience Publication."
Includes bibliographical references and index.  Contributor:
 Babu, Thimma V. J. Ganesh.
 ISBN:
 1280367970
9786610367979
0470303522
0471643394
0471643505  OCLC:
 54772966