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Fri frakt inom Sverige för privatpersoner.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.
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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.
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 The Multi-Threshold Model under the BR Policy 109 2.8.1 The Service System 109 2.8.2 The Analytical Model 109 2.9 The Connection Dependent Threshold Model 112 2.9.1 The Service System 112 2.9.2 The Analytical Model 114 2.10 The Connection Dependent Threshold Model under the BR Policy 119 2.10.1 The Service System 119 2.10.2 The Analytical Model 119 2.11 Applications 121 2.12 Further Reading 129 References 130 3 Multirate Elastic Adaptive Loss Models 133 3.1 The Elastic Erlang Multirate Loss Model 133 3.1.1 The Service System 133 3.1.2 The Analytical Model 139 3.2 The Elastic Erlang Multirate Loss Model under the BR Policy 146 3.2.1 The Service System 146 3.2.2 The Analytical Model 149 3.3 The Elastic Erlang Multirate Loss Model under the Threshold Policy 152 3.3.1 The Service System 152 3.3.2 The Analytical Model 156 3.4 The Elastic Adaptive Erlang Multirate Loss Model 163 3.4.1 The Service System 163 3.4.2 The Analytical Model 171 3.5 The Elastic Adaptive Erlang Multirate Loss Model under the BR Policy 175 3.5.1 The Service System 175 3.5.2 The Analytical Model 177 3.6 The Elastic Adaptive Erlang Multirate Loss Model under the Threshold Policy 179 3.6.1 The Service System 179 3.6.2 The Analytical Model 182 3.7 Applications 185 3.8 Further Reading 190 References 191 4 Multirate Elastic Adaptive Retry Loss Models 195 4.1 The Elastic Single-Retry Model