Efficient Multirate Teletraffic Loss Models Beyond Erlang

Efficient Multirate Teletraffic Loss Models Beyond Erlang

by Ioannis D. Moscholios, Michael D. Logothetis
Released April 2019
Publisher(s): Wiley-IEEE Press
ISBN: 9781119426882

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Book description

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.

Table of contents

  1. Cover
  2. List of Figures
  3. List of Tables
  4. Preface
    1. Acknowledegments
  5. Acronyms
  6. Symbols
  7. About the Companion Website
  8. Introduction
    1. I.1 Traffic‐load Definition
    2. I.2 Traffic Congestion and GoS/QoS
    3. I.3 System Capacity
    4. I.4 Teletraffic Models
    5. I.5 Traffic‐load Properties
    6. I.6 Call Arrival Process
    7. I.7 Call Service Time
    8. I.8 Service Systems
    9. I.9 Little's Law
    10. I.10 Other Performance Metrics of Loss Systems
    11. I.11 General Examples
    12. I.12 Service‐classes – Bandwidth Sharing Policies
    13. I.13 Classification of Teletraffic Loss Models
    14. I.14 Teletraffic Models and the Internet
    15. References
  9. PART I: Teletraffic Models of Random Input
    1. 1 The Erlang Multirate Loss Model
      1. 1.1 The Erlang Loss Model
      2. 1.2 The Erlang Multirate Loss Model
      3. 1.3 The Erlang Multirate Loss Model under the BR policy
      4. 1.4 The Erlang Multirate Loss Model under the Threshold Policy
      5. 1.5 The Erlang Multirate Loss Model in a Fixed Routing Network
      6. 1.6 Applications
      7. 1.7 Further Reading
      8. References
    2. 2 Multirate Retry Threshold Loss Models
      1. 2.1 The Single‐Retry Model
      2. 2.2 The Single‐Retry Model under the BR Policy
      3. 2.3 The Multi‐Retry Model
      4. 2.4 The Multi‐Retry Model under the BR Policy
      5. 2.5 The Single‐Threshold Model
      6. 2.6 The Single‐Threshold Model under the BR Policy
      7. 2.7 The Multi‐Threshold Model
      8. 2.8 The Multi‐Threshold Model under the BR Policy
      9. 2.9 The Connection Dependent Threshold Model
      10. 2.10 The Connection Dependent Threshold Model under the BR Policy
      11. 2.11 Applications
      12. 2.12 Further Reading
      13. References
    3. 3 Multirate Elastic Adaptive Loss Models
      1. 3.1 The Elastic Erlang Multirate Loss Model
      2. 3.2 The Elastic Erlang Multirate Loss Model under the BR Policy
      3. 3.3 The Elastic Erlang Multirate Loss Model under the Threshold Policy
      4. 3.4 The Elastic Adaptive Erlang Multirate Loss Model
      5. 3.5 The Elastic Adaptive Erlang Multirate Loss Model under the BR Policy
      6. 3.6 The Elastic Adaptive Erlang Multirate Loss Model under the Threshold Policy
      7. 3.7 Applications
      8. 3.8 Further Reading
      9. References
    4. 4 Multirate Elastic Adaptive Retry Loss Models
      1. 4.1 The Elastic Single‐Retry Model
      2. 4.2 The Elastic Single‐Retry Model under the BR Policy
      3. 4.3 The Elastic Multi‐Retry Model
      4. 4.4 The Elastic Multi‐Retry Model under the BR Policy
      5. 4.5 The Elastic Adaptive Single‐Retry Model
      6. 4.6 The Elastic Adaptive Single‐Retry Model under the BR Policy
      7. 4.7 The Elastic Adaptive Multi‐Retry Model
      8. 4.8 The Elastic Adaptive Multi‐Retry Model under the BR Policy
      9. 4.9 Applications
      10. 4.10 Further Reading
      11. References
    5. 5 On–Off Multirate Loss Models
      1. 5.1 The ON–OFF Multirate Loss Model
      2. 5.2 The ON–OFF Multirate Loss Model under the BR Policy
      3. 5.3 The ON–OFF Multirate Loss Model in a Fixed Routing Network
      4. 5.4 Applications
      5. 5.5 Further Reading
      6. References
  10. PART II: Teletraffic Models of Quasi‐Random Input
    1. 6 The Engset Multirate Loss Model
      1. 6.1 The Engset Loss Model
      2. 6.2 The Engset Multirate Loss Model
      3. 6.3 The Engset Multirate Loss Model under the BR Policy
      4. 6.4 The Engset Multirate Loss Model under the TH Policy
      5. 6.5 Applications
      6. 6.6 Further Reading
      7. References
    2. 7 Finite Multirate Retry Threshold Loss Models
      1. 7.1 The Finite Single‐Retry Model
      2. 7.2 The Finite Single‐Retry Model under the BR Policy
      3. 7.3 The Finite Multi‐Retry Model
      4. 7.4 The Finite Multi‐Retry Model under the BR Policy
      5. 7.5 The Finite Single‐Threshold Model
      6. 7.6 The Finite Single‐Threshold Model under the BR Policy
      7. 7.7 The Finite Multi‐Threshold Model
      8. 7.8 The Finite Multi‐Threshold Model under the BR Policy
      9. 7.9 The Finite Connection Dependent Threshold Model
      10. 7.10 The Finite Connection Dependent Threshold Model under the BR Policy
      11. 7.11 Applications
      12. 7.12 Further Reading
      13. References
    3. 8 Finite Multirate Elastic Adaptive Loss Models
      1. 8.1 The Elastic Engset Multirate Loss Model
      2. 8.2 The Elastic Engset Multirate Loss Model under the BR Policy
      3. 8.3 The Elastic Adaptive Engset Multirate Loss Model
      4. 8.4 The Elastic Adaptive Engset Multirate Loss Model under the BR Policy
      5. 8.5 Applications
      6. 8.6 Further Reading
      7. References
    4. 9 Finite ON–OFF Multirate Loss Models
      1. 9.1 The Finite ON–OFF Multirate Loss Model
      2. 9.2 Generalization of the f‐ON–OFF Model to include Service‐classes with a Mixture of a Finite and an Infinite Number of Sources
      3. 9.3 Applications
      4. 9.4 Further Reading
      5. References
  11. PART III: Teletraffic Models of Batched Poisson Input
    1. 10 The Erlang Multirate Loss Model With Batched Poisson Arrivals
      1. 10.1 The Erlang Multirate Loss Model with Batched Poisson Arrivals
      2. 10.2 The Erlang Multirate Loss Model with Batched Poisson Arrivals under the BR Policy
      3. 10.3 The Erlang Multirate Loss Model with Batched Poisson Arrivals under the Threshold Policy
      4. 10.4 Applications
      5. 10.5 Further Reading
      6. References
    2. 11 Batched Poisson Multirate Elastic Adaptive Loss Models
      1. 11.1 The Elastic Erlang Multirate Loss Model with Batched Poisson Arrivals
      2. 11.2 The Elastic Erlang Multirate Loss Model with Batched Poisson Arrivals under the BR Policy
      3. 11.3 The Elastic Adaptive Erlang Multirate Loss Model with Batched Poisson Arrivals
      4. 11.4 The Elastic Adaptive Erlang Multirate Loss Model with Batched Poisson Arrivals under the BR Policy
      5. 11.5 Applications
      6. 11.6 Further Reading
      7. References
  12. Appendix A: Interdependency of the Teletraffic Models
  13. Index
  14. End User License Agreement

Product information

  • Title: Efficient Multirate Teletraffic Loss Models Beyond Erlang
  • Author(s): Ioannis D. Moscholios, Michael D. Logothetis
  • Release date: April 2019
  • Publisher(s): Wiley-IEEE Press
  • ISBN: 9781119426882