Performance Analysis and Optimization of Multi-Traffic on Communication Networks (eBook)

Preface 5
Contents 8
List of Acronyms and Abbreviations 11
Part I Two-Dimensional Traffic Models of Integrated Voice/Data Cellular Wireless Networks 13
1 Performance Analysis of Multi-Parametric Call Admission Control (CAC) Strategies in Unbuffered Cellular Wireless Networks 15
1.1 CAC Based on the Guard Channels Strategy 15
1.2 CAC Based on a Cutoff Strategy 24
1.3 Numerical Results 31
1.4 Conclusion 40
References 41
2 Performance Analysis of Call-Handling Processes in Buffered Cellular Wireless Networks 43
2.1 Models with Queues for h-Calls 43
2.1.1 Models with Finite Queues 44
2.1.2 Models with Infinite Queues 51
2.1.3 Numerical Results 56
2.2 Models with Queues for o-Calls 61
2.2.1 Models Without Reassignment of Channels 62
2.2.2 Models with Reassignment of Channels 66
2.2.3 Numerical Results 78
2.3 Conclusion 87
References 88
3 QoS Optimization Problems in Cellular Wireless Networks 89
3.1 QoS Optimization Problems in Cells Without Queues 89
3.1.1 Optimization of Models with Guard Channels for Handover Calls 89
3.1.2 Optimization of Models with Individual Channels for Handover Calls 92
3.2 QoS Optimization Problems in Cells with Queues 96
3.2.1 QoS Optimization Problems in Cells with a Limited Queue of h-Calls 96
3.2.2 QoS Optimization Problems in Cells with an Unlimited Queue of h-Calls 100
3.3 Conclusion 102
References 103
Part II Multi-Dimensional Models of Multi-Service Networks 104
Introduction 104
4 Models of Multi-Rate Systems with Inelastic Calls 106
4.1 General Models of Unbuffered Multi-Rate Systems 106
4.1.1 Complete Sharing Strategy 107
4.1.2 Complete Sharing with Equalization Strategy 111
4.1.3 Trunk Reservation Strategy 113
4.1.4 Numerical Results 116
4.2 Gimpelson-Type Multi-Rate Systems 127
4.2.1 Unbuffered Models with a Special Group of Channels for Wide-Band Calls 127
4.2.2 Models with Guard Channels and Buffers for Wide-Band Calls 130
4.2.3 Numerical Results 134
4.3 Conclusion 139
References 140
5 Models of Mixed Multi-Rate Systems 142
5.1 Unbuffered Models 142
5.1.1 Models with a Continuous Band 143
5.1.2 Models with a Discrete Band 147
5.2 Models with Buffers for Elastic Calls 149
5.3 Numerical Results 154
5.4 Conclusion 157
References 159
6 Parametric Optimization Problems in Multi-Rate Systems 160
6.1 Problems for Unbuffered Gimpelson's Models 160
6.1.1 Problem of Equivalent Capacity with the CS-Strategy 161
6.1.2 Problems of Finding the Optimal CAC Parameters with the TR-Strategy 162
6.1.3 Problems of Finding the Optimal CAC Parameters with the SGC-Strategy 169
6.2 Problems for Buffered Gimpelson's Models 171
6.3 Problems for Mixed Models 173
6.4 Conclusion 175
References 176
7 Markov Decision Processes (MDP) Approach to Optimization Problems for Multi-Rate Systems 177
7.1 Hierarchical Phase-Merging Algorithm for MDP Problems 177
7.2 Finding the Optimal Access Strategy 183
7.3 Finding the Sub-Optimal Access Strategy 191
7.4 Numerical Results 194
7.5 Conclusion 195
References 196
Appendix 197
References 200
Index 201