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More About This Title Efficient Multirate Teletraffic Loss Models Beyond Erlang
English
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.
English
IOANNIS D. MOSCHOLIOS, PHD, is an Associate Professor in the Department of Informatics and Telecommunications, University of Peloponnese, Tripolis, Greece. His research interests include teletraffic engineering, simulation and performance analysis of communication networks, and queueing theory.
MICHAEL D. LOGOTHETIS, PHD, is a Professor in the ECE Department of the University of Patras, Greece. His research interests include teletraffic theory/engineering, traffic/network control, and simulation and performance optimization of communications networks.
English
Introductions
I.1 Traffic load Definition
I.2 Traffic Congestion and GoS/QoS
I.3 System Capacity
I.4 Teletraffic Models
I.5 Traffic load Properties
I.6 Call Arrival Process
I.6.1 Superposition and Decomposition of Poisson Processes
I.6.2 Poisson Arrivals See Time Averages (PASTA)
I.7 Call Service Time
I.7.1 Markov Property
I.8 Service Systems
I.9 Little’s Law
I.10 Other Performance Metrics of Loss Systems
I.11 General Examples
I.12 Service classes – Bandwidth Sharing Policies
I.13 Classification of Teletraffic Loss Models
Part I: Teletraffic models of random input
Chapter 1 – THE ERLANG MULTIRATE LOSS MODEL
1.1 The Erlang Loss Model
1.1.1 The service system
1.1.2 Global and Local Balance
1.1.3 Call Blocking Probability
1.1.4 Other Performance Metrics
1.2 The Erlang Multirate Loss Model
1.2.1 The service system
1.2.2 The analytical model
1.3 The Erlang Multirate Loss Model under the BR policy
1.3.1 The service system
1.3.2 The analytical model
1.4 The Erlang Multirate Loss Model under the Threshold policy (EMLM/TH)
1.4.1 The service system
1.4.2 The analytical model
1.5 The Erlang Multirate Loss Model in a fixed routing network
1.5.1 The service system
1.5.2 The analytical model
1.5.3 CBP calculation by the Reduced Load Approximation method
1.6 Applications
1.6.1 The Erlang-B Formula
1.6.2 The Erlang-C Formula
1.6.3 The Kaufman-Roberts recursion
1.7 Further Reading
References
Chapter 2 – MULTIRATE RETRY – THRESHOLD LOSS MODELS
2.1 The Single Retry Model
2.1.1 The service system
2.1.2 The analytical model
2.2 The Single Retry Model under the BR policy
2.2.1 The service system
2.2.2 The analytical model
2.3 The Multi Retry Model
2.3.1 The service system
2.3.2 The analytical model
2.4 The Multi Retry Model under the BR policy
2.4.1 The service system
2.4.2 The analytical model
2.5 The Single Threshold Model
2.5.1 The service system
2.5.2 The analytical model
2.6 The Single Threshold Model under the BR policy
2.6.1 The service system
2.6.2 The analytical model
2.7 The Multi Threshold Model
2.7.1 The service system
2.7.2 The analytical model
2.8 The Multi Threshold Model under the BR policy
2.8.1 The service system
2.8.2 The analytical model
2.9 The Connection Dependent Threshold Model
2.9.1 The service system
2.9.2 The analytical model
2.10 The Connection Dependent Threshold Model under the BR policy
2.10.1 The service system
2.10.2 The analytical model
2.11 Applications
2.12 Further Reading
References
Chapter 3 – MULTIRATE ELASTIC – ADAPTIVE LOSS MODELS
3.1 The Elastic Erlang Multirate Loss Model (E-EMLM)
3.1.1 The service system
3.1.2 The analytical model
3.2 The Elastic Erlang Multirate Loss Model under the BR policy (E-EMLM/BR)
3.2.1 The service system
3.2.2 The analytical model
3.3 The Elastic Erlang Multirate Loss Model under the TH policy (E-EMLM/TH)
3.3.1 The service system
3.3.2 The analytical model
3.4 The Elastic Adaptive Erlang Multirate Loss Model (EA-EMLM)
3.4.1 The service system
3.4.2 The analytical model
3.5 The Elastic Adaptive Erlang Multirate Loss Model under the BR policy (EA-EMLM/BR)
3.5.1 The service system
3.5.2 The analytical model
3.6 The Elastic Adaptive Erlang Multirate Loss Model under the TH policy (EA-EMLM/TH)
3.6.1 The service system
3.6.2 The analytical model
3.7 Applications
3.8 Further Reading
References
Chapter 4 – MULTIRATE ELASTIC – ADAPTIVE RETRY LOSS MODELS
4.1 The Elastic Single-Retry Model
4.1.1 The service system
4.1.2 The analytical model
4.2 The Elastic Single-Retry Model under the BR policy
4.2.1 The service system
4.2.2 The analytical model
4.3 The Elastic Multi-Retry Model
4.3.1 The service system
4.3.2 The analytical model
4.4 The Elastic Multi-Retry Model under the BR policy
4.4.1 The service system
4.4.2 The analytical model
4.5 The Elastic Adaptive Single-Retry Model
4.5.1The service system
4.5.2 The analytical model
4.5.3 CBP, Utilization and Mean number of in-service calls
4.6 The Elastic Adaptive Single-Retry Model under the BR policy
4.6.1 The service system
4.6.2 The analytical model
4.7 The Elastic Adaptive Multi-Retry Model
4.7.1 The service system
4.7.2 The analytical model
4.8 The Elastic Adaptive Multi-Retry Model under the BR policy
4.8.1 The service system
4.8.2 The analytical model
4.9 Applications
4.10 Further Reading
References
Chapter 5 – ON-OFF MULTIRATE LOSS MODELS
5.1 The ON-OFF Multirate Loss Model
5.1.1The service system
5.1.2The analytical model
5.2 The ON-OFF Multirate Loss Model under the BR policy
5.2.1The service system
5.2.2 The analytical model
5.3 The ON-OFF Multirate Loss Model in a fixed routing network
5.3.1 The service system
5.3.2 The analytical model
5.4 Applications
5.5 Further Reading
References
Part II: Teletraffic models of quasi-random input
Chapter 6 – THE ENGSET MULTIRATE LOSS MODEL
6.1 The Engset Loss Model
6.1.1 The service system
6.1.2 The analytical model
6.2 The Engset Multirate Loss Model
6.2.1 The service system
6.2.2 The analytical model
6.3 The Engset Multirate Loss Model under the BR policy
6.3.1 The service system
6.3.2 The analytical model
6.4 The Engset Multirate Loss Model under the TH policy
6.4.1 The service system
6.4.2 The analytical model
6.5 Applications
6.6 Further Reading
References
Chapter 7 – FINITE MULTIRATE RETRY – THRESHOLD LOSS MODELS
7.1 The finite Single-Retry Model
7.1.1 The service system
7.1.2 The analytical model
7.2 The finite Single-Retry Model under the BR policy
7.2.1 The service system
7.2.2 The analytical model
7.3 The finite Multi-Retry Model
7.3.1 The service system
7.3.2 The analytical model
7.4 The finite Multi-Retry Model under the BR policy
7.4.1 The service system
7.4.2 The analytical model
7.5 The finite Single-Threshold Model
7.5.1 The service system
7.5.2 The analytical model
7.6 The finite Single-Threshold Model under the BR policy
7.6.1 The service system
7.6.2 The analytical model
7.7 The finite Multi-Threshold Model
7.7.1 The service system
7.7.2 The analytical model
7.8 The finite Multi-Threshold Model under the BR policy
7.8.1 The service system
7.8.2 The analytical model
7.9 The finite Connection Dependent Threshold Model
7.9.1 The service system
7.9.2 The analytical model
7.10 The finite Connection Dependent Threshold Model under the BR policy
7.10.1 The service system
7.10.2 The analytical model
7.11 Applications
7.12 Further Reading
References
Chapter 8 – FINITE MULTIRATE ELASTIC – ADAPTIVE LOSS MODELS
8.1 The Elastic Engset Multirate Loss Model (E-EnMLM)
8.1.1 The service system
8.1.2 The analytical model
8.2 The Elastic Engset Multirate Loss Model under the BR policy (E-EnMLM/BR)
8.2.1 The service system
8.2.2 The analytical model
8.3 The Elastic Adaptive Engset Multirate Loss Model (EA-EnMLM)
8.3.1 The service system
8.3.2 The analytical model
8.4 The Elastic Adaptive Engset Multirate Loss Model under the BR policy (EA-EnMLM/BR)
8.4.1 The service system
8.4.2 The analytical model
8.5 Applications
8.6 Further Reading
References
Chapter 9 – FINITE ON-OFF LOSS MODELS
9.1 The Finite ON-OFF Multirate Loss Model
9.1.1 The service system
9.1.2 The analytical model
9.2 Generalization of the f-ON-OFF Model to include service-classes with a mixture of finite and infinite number of sources
9.3 Applications
9.4 Further Reading
References
Part III: Teletraffic models of batched Poisson input
Chapter 10 – THE ERLANG MULTIRATE LOSS MODEL WITH BATCHED POISSON ARRIVALS
10.1 The Erlang Multirate Loss Model with Batched Poisson Arrivals
10.1.1 The service system
10.1.2 The analytical model
10.2 The Erlang Multirate Loss Model with Batched Poisson Arrivals under the BR policy
10.2.1 The service system
10.2.2 The analytical model
10.3 The Erlang Multirate Loss Model with Batched Poisson Arrivals under the Threshold policy
10.3.1 The service system
10.3.2 The analytical model
10.4 Applications
10.5 Further Reading
References
Chapter 11 – BATCHED POISSON MULTIRATE ELASTIC – ADAPTIVE LOSS MODELS
11.1 The Elastic Erlang Multirate Loss Model with Batched Poisson Arrivals (BP-E-EMLM)
11.1.1 The service system
11.1.2 The analytical model
11.2 The Elastic Erlang Multirate Loss Model with Batched Poisson Arrivals under the BR policy (BP-E-EMLM/BR)
11.2.1The service system
11.2.2 The analytical model
11.3 The Elastic Adaptive Erlang Multirate Loss Model with Batched Poisson Arrivals (BP-EA-EMLM)
11.3.1 The service system
11.3.2 The analytical model
11.4 The Elastic Adaptive Erlang Multirate Loss Model with Batched Poisson Arrivals under the BR policy (BP-EA-EMLM/BR)
11.4.1 The service system
11.4.2 The analytical model
11.5 Applications
11.6 Further Reading
References
