LEADER 05529nam 22007334a 450 001 9910808768703321 005 20200520144314.0 010 $a9786610367979 010 $a9781280367977 010 $a1280367970 010 $a9780470303528 010 $a0470303522 010 $a9780471643395 010 $a0471643394 010 $a9780471643500 010 $a0471643505 035 $a(CKB)111087027120348 035 $a(EBL)175986 035 $a(OCoLC)54772966 035 $a(SSID)ssj0000203943 035 $a(PQKBManifestationID)11172926 035 $a(PQKBTitleCode)TC0000203943 035 $a(PQKBWorkID)10173854 035 $a(PQKB)10080176 035 $a(MiAaPQ)EBC175986 035 $a(Au-PeEL)EBL175986 035 $a(CaPaEBR)ebr10113991 035 $a(CaONFJC)MIL36797 035 $a(PPN)197114652 035 $a(Perlego)2771557 035 $a(EXLCZ)99111087027120348 100 $a20030917d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModeling and analysis of telecommunications networks /$fJeremiah F. Hayes, Thimma V.J. Ganesh Babu 205 $a1st ed. 210 $aHoboken, N.J $cWiley-Interscience$dc2004 215 $a1 online resource (415 p.) 300 $a"A Wiley-Interscience Publication." 311 08$a9780471348450 311 08$a0471348457 320 $aIncludes bibliographical references and index. 327 $aMODELING 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 Long-Haul 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 327 $a2.1.1 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 Variables-Probability 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 327 $a2.6 Inequalities and Bounds2.7 Markov Chains; 2.7.1 The Memoryless Property; 2.7.2 State Transition Matrix; 2.7.3 Steady-State 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 Single-Server Queue; 3.3 The Poisson Process; 3.3.1 Basic Properties 327 $a3.3.2 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 Steady-State Solution; 3.4.2 Queueing Models; 3.4.3 The M/M/1 Queue-Infinite Waiting Room; 3.4.4 The M/M/1/L Queue-Finite Waiting Room; 3.4.5 The M/M/S Queue-Infinite Waiting Room; 3.4.6 The M/M/S/L Queue-Finite 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 327 $a3.5.3 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 Two-Node 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 327 $a4.4.2 Detailed Derivation for a Two-Node Network 330 $aThis 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 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 606 $aTelecommunication systems 615 0$aTelecommunication systems. 676 $a621.382/1 700 $aHayes$b Jeremiah F.$f1934-$026375 701 $aBabu$b Thimma V. J. Ganesh$01722765 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910808768703321 996 $aModeling and analysis of telecommunications networks$94123441 997 $aUNINA