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روش های مبتنی بر بهینه سازی تصادفی برای بهبود عملکرد شبکه
امیدوار، نعیمه Omidvar, Naeimeh
Cataloging brief
روش های مبتنی بر بهینه سازی تصادفی برای بهبود عملکرد شبکه
پدیدآور اصلی :
امیدوار، نعیمه Omidvar, Naeimeh
ناشر :
صنعتی شریف
سال انتشار :
1396
موضوع ها :
بهینه سازی تصادفی Stochastic Optimization بهبود عملکرد Performance Improvement کارایی...
شماره راهنما :
05-55733
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Title Page
Authorization Page
Signature Page
Acknowledgments
(5)
Table of Contents
(7)
List of Figures
(11)
List of Tables
(13)
Abstract
(13)
Chapter 1 Introduction
(19)
Prerequisites
(26)
Introduction to Stochastic Optimisation
(26)
General Formulation of Stochastic Optimisation Problems
(27)
Single-Timescale Stochastic Optimisation
(28)
Mixed-Timescale Stochastic Optimisation
(29)
Chapter 2 Efficient Energy-Aware Routing with Redundancy Elimination
(33)
Introduction
(33)
System Model
(37)
Problem Formulation
(38)
The Proposed Mixed Integer Linear Programming
(39)
Lagrangian Relaxation and Optimal Solution to the obtained MILP
(41)
Total Unimodularity Property of the Coefficient Matrix
(43)
Updating the Lagrangian Multipliers of the Links
(46)
Complexity of the Proposed Solution
(47)
On the Feasibility of the Solution of the Sub-gradient Method for Integer Programming
(47)
The Generic Energy-Aware Routing Problem Without Redundancy Elimination
(48)
An Illustrative Example
(48)
Numerical Results and Comparison
(50)
Conclusion and Future Work
(56)
Chapter 3 Optimal Hierarchical Radio Resource Management for HetNets with Flexible Backhaul
(57)
Introduction
(57)
System Model
(62)
Heterogeneous Network Topology
(62)
Two-Timescale Hierarchical Radio Resource Control Variables
(65)
Two-Timescale Hierarchical RRM Problem Formulation
(72)
Coupling of the Long-Term and Short-Term Control Variables
(75)
Problem Transformation and Decomposition
(80)
Solution to Problem P2
(82)
Hidden Convexity and Global Optimality Condition of P2
(82)
Globally Optimal Solution of P2
(83)
Implementation Considerations
(87)
Signalling Flow
(87)
Signalling Overhead and Computational Complexity
(89)
Simulation Results
(90)
Performance Evaluation and Comparison
(92)
The Average Computational Time and Signalling Overhead
(95)
Trade-off between Cost Saving and Performance Loss under Flexible Backhaul
(98)
Convergence of the Proposed Algorithm
(99)
Discussion of Analytical and Practical Implications
(100)
Proofs of the Theoretical Results
(101)
Proof of Lemma 3.5.1
(101)
Proof of Proposition 1
(101)
Proof of Theorem 3.5.1
(103)
Proof of Theorem 3.5.2
(104)
Conclusion
(106)
Chapter 4 Two-Timescale QoS-Aware Cross-Layer Radio Resource Management for HetNets with Flexible Backhaul
(107)
Introduction
(108)
System Model
(109)
Heterogeneous Network Topology
(109)
Two-Timescale Hierarchical Radio Resource Control Variables
(110)
QoS-Aware Cross-Layer RRM Problem Formulation
(112)
QoS-Aware Two-Timescale RRM Solution
(113)
Problem Transformation and Decomposition
(113)
Solution to the Long-term Control Problem Pout
(115)
Signalling Flow
(117)
Performance Evaluation and Comparison
(118)
QSI-Aware RRM Solution
(122)
Why Dynamic QSI Captures the Data Flow Urgency
(123)
Proposed Cross-Layer QoS-Aware RRM Algorithm
(123)
Performance Evaluation and Comparison
(126)
Conclusion
(129)
Chapter 5 Parallel Stochastic Optimisation Framework
(130)
Introduction
(130)
Stochastic Gradient-Based Algorithms
(133)
Stochastic Majorization-Minimisation
(134)
Stochastic Parallel Decomposition Method
(136)
Problem Formulation
(138)
Proposed Parallel Stochastic Optimisation Algorithm
(139)
Convergence of the Proposed Algorithm
(143)
Proof of Theorem 5.3.1
(147)
Proof of Theorem 5.3.2 (Convex case)
(148)
Proof of Theorem 5.3.3 (Non-convex case)
(151)
Conclusion
(155)
Chapter 6 Applications of the Proposed Stochastic Method in Large-Scale Machine Learning
(156)
Introduction to Support Vector Machines
(156)
SVM Problem Formulation
(158)
Adopting a Stochastic Setting for Solving Large-Scale SVMs
(160)
Simulation Results and Discussion
(161)
Conclusion
(165)
Chapter 7 Conclusion
(166)
References
(168)