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Efficient Multirate Teletraffic Loss Models Beyond Erlang

Efficient Multirate Teletraffic Loss Models Beyond Erlang

Wydawnictwo John Wiley & Sons
Data wydania 01/04/2019
Wydanie Pierwsze
Liczba stron 576
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
Język angielski
ISBN 9781119426882
Kategorie Inżynieria komunikacyjna i telekomunikacyjna
480.00 PLN (z VAT)
$120.69 / €111.58 / £93.58 /
Produkt dostępny
Dostawa 14 dni
Do schowka

Opis książki

A comprehensive study in efficient multi-rate teletraffic loss models used for designing, performance analysis, and optimization of systems and networks Efficient Multirate Teletraffic Loss Models Beyond Erlang is an easy-to-read book filled with numerous efficient teletraffic loss models. Presented in three sections--Teletraffic Models of Random Input, Teletraffic Models of Quasi-Random Input, and Teletraffic Models of Batched Poisson Input--it covers everything that a professional experienced with optimization and dimensioning of telecom networks could ever need to know. This unique book provides a detailed explanation on how efficient multirate teletraffic loss models are extracted and applied, and guides readers through almost all network technologies and services. Starting from the basics, it steadily increases in difficulty to keep the book self-contained and to provide a better understanding to those who might be new to the subject. It includes detailed explanations of the complex teletraffic models--many of which were developed by the authors. Tutorial examples, several backed by supplementary software, are accompanied by intermediate results and figures. Additionally, end-of-chapter applications describe the applicability of the models to modern network technologies, updating the incorporated teletraffic models of commercial packages/tools. Uses the classic EMLM (Erlang Multirate Loss Model) as its base to present a comprehensive range of teletraffic models through detailed explanation and numerical examples Filled with the authors' own original teletraffic models--making for a wholly unique learning experience Offers a clear, self-contained presentation with a beginning, middle, and end Starts with simple models, then moves to more complex models, before finishing with complicated ones Supplemented by an accompanying website with computer implementation of the most important models Directed primarily at telecommunication engineers, Efficient Multirate Teletraffic Loss Models Beyond Erlang is also useful for telecom operators or managers on the higher and average levels, as well a Ph.D. students, researchers, and modelers.

Efficient Multirate Teletraffic Loss Models Beyond Erlang

Spis treści

List of Figures xvii

List of Tables xxv

Preface xxix

Acronyms xxxiii

Symbols xxxvii

About the Companion Website xxxix

Introduction xli

I.1 Traffic-load Definition xlii

I.2 Traffic Congestion and GoS/QoS xliii

I.3 System Capacity xliv

I.4 Teletraffic Models xlv

I.5 Traffic-load Properties xlviii

I.6 Call Arrival Process l

I.6.1 Superposition and Decomposition of Poisson Processes lv

I.6.2 Poisson Arrivals See Time Averages lvi

I.7 Call Service Time lvii

I.7.1 Markov Property lvii

I.8 Service Systems lix

I.9 Little's Law lxi

I.10 Other Performance Metrics of Loss Systems lxii

I.11 General Examples lxiii

I.12 Service-classes - Bandwidth Sharing Policies lxiv

I.13 Classification of Teletraffic Loss Models lxx

I.14 Teletraffic Models and the Internet lxxi

References lxxiv

Part I Teletraffic Models of Random Input 1

1 The Erlang Multirate Loss Model 3

1.1 The Erlang Loss Model 3

1.1.1 The Service System 3

1.1.2 Global and Local Balance 5

1.1.3 Call Blocking Probability 8

1.1.4 Other Performance Metrics 11

1.2 The Erlang Multirate Loss Model 13

1.2.1 The Service System 13

1.2.2 The Analytical Model 15

1.3 The Erlang Multirate Loss Model under the BR policy 28

1.3.1 The Service System 28

1.3.2 The Analytical Model 30

1.4 The Erlang Multirate Loss Model under the Threshold Policy 38

1.4.1 The Service System 38

1.4.2 The Analytical Model 40

1.5 The Erlang Multirate Loss Model in a Fixed Routing Network 44

1.5.1 The Service System 44

1.5.2 The Analytical Model 45

1.5.3 CBP Calculation by the RLA Method 49

1.6 Applications 54

1.6.1 The Erlang-B Formula 54

1.6.2 The Erlang-C Formula 55

1.6.3 The Kaufman-Roberts Recursion 56

1.7 Further Reading 58

References 60

2 Multirate Retry Threshold Loss Models 65

2.1 The Single-Retry Model 65

2.1.1 The Service System 65

2.1.2 The Analytical Model 69

2.2 The Single-Retry Model under the BR Policy 72

2.2.1 The Service System 72

2.2.2 The Analytical Model 75

2.3 The Multi-Retry Model 77

2.3.1 The Service System 77

2.3.2 The Analytical Model 83

2.4 The Multi-Retry Model under the BR Policy 86

2.4.1 The Service System 86

2.4.2 The Analytical Model 87

2.5 The Single-Threshold Model 92

2.5.1 The Service System 92

2.5.2 The Analytical Model 96

2.6 The Single-Threshold Model under the BR Policy 99

2.6.1 The Service System 99

2.6.2 The Analytical Model 101

2.7 The Multi-Threshold Model 107

2.7.1 The Service System 107

2.7.2 The Analytical Model 107

2.8 T

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