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Stochastic Performance Analysis of a Tree Topology Network

Abstract第7-8页
Preface第9-17页
1 Introduction第17-25页
    1.1 Evolution of Network Calculus第18-19页
    1.2 Elements of Wireless Communication第19-22页
    1.3 Focus, Contributions and Structure of the Thesis第22-24页
    1.4 List of Publications第24-25页
2 Principles of Network Calculus第25-33页
    2.1 Preliminaries第25-27页
        2.1.1 Model and Notation第25-26页
        2.1.2 Deterministic Network Calculus第26-27页
    2.2 Queueing Principles第27-28页
        2.2.1 Lindley Recursion Queueing Principle第27页
        2.2.2 Network Calculus Queueing Principles第27-28页
    2.3 Triplicity Principle and Duality Principle第28-29页
        2.3.1 Triplicity Principle of Arrival Curve第28-29页
        2.3.2 Duality Principle of Service Curve第29页
    2.4 Stochastic Network Calculus第29-33页
        2.4.1 Stochastic Arrival Curve第29-30页
        2.4.2 Stochastic Service Curve第30-31页
        2.4.3 Five Basic Properties第31-33页
3 Further Properties of Wireless Channel Capacity117第33-49页
    3.1 Introduction第33-34页
    3.2 Cumulative Capacity and its Distribution Function Property第34-37页
        3.2.1 Cumulative Capacity第34-35页
        3.2.2 Distribution Function of Cumulative Capacity第35-36页
        3.2.3 Discussion第36-37页
    3.3 Further Properties of Cumulative Capacity第37-44页
        3.3.1 Moment Generating Function第37-39页
        3.3.2 Stochastic Strict Service Curve第39-41页
        3.3.3 Mellin Transform第41-43页
        3.3.4 Remark第43-44页
    3.4 Numerical Results第44-47页
        3.4.1 Moment Generating Function第44-45页
        3.4.2 Stochastic Strict Service Curve第45页
        3.4.3 Mellin Transform第45-46页
        3.4.4 Service Guarantees第46-47页
    3.5 Conclusion第47-49页
4 Boundary Conditions in Wireless Mesh Networks233第49-63页
    4.1 Introduction第49-50页
    4.2 System Model第50-53页
        4.2.1 Tra?c Model第51-52页
        4.2.2 Node Service Model第52-53页
    4.3 Bounds on the Maximum End-to-End Node Number第53-58页
        4.3.1 Preliminaries第53-55页
        4.3.2 Bounds under Delay Constraint第55-57页
        4.3.3 Bounds under Throughput Constraint第57-58页
    4.4 Numerical and Simulation Results第58-62页
        4.4.1 End-to-End Node Number as Function of Delay第59页
        4.4.2 End-to-End Node Number as Function of Transition Time and Steady State Throughput第59-62页
    4.5 Conclusion第62-63页
5 Impact of Duty Cycle in a Wireless Sensor Network347第63-77页
    5.1 Introduction第63-65页
    5.2 Stochastic Network Calculus Basics第65-67页
        5.2.1 Fundamental Concepts第65-66页
        5.2.2 Basic Results第66-67页
    5.3 The System Model第67-68页
    5.4 Analysis第68-73页
        5.4.1 Preliminary Results第68-70页
        5.4.2 Impact on Delay第70-72页
        5.4.3 Impact on Throughput第72-73页
    5.5 Numerical Results第73-76页
        5.5.1 Impact on Delay第73-75页
        5.5.2 Impact on Throughput第75-76页
    5.6 Conclusion第76-77页
6 Service Guarantees of a Tree Topology Network461第77-97页
    6.1 Introduction第77-78页
    6.2 Background第78-80页
        6.2.1 Fundamental Concepts第78-79页
        6.2.2 Basic Results第79-80页
    6.3 System Model第80-83页
    6.4 Stochastic Performance Analysis第83-94页
        6.4.1 Preliminary第83-86页
        6.4.2 Stochastic Arrival Curve of the Sensing Flows第86-87页
        6.4.3 Stochastic Arrival Curve of the Aggregating Flows第87-91页
        6.4.4 Stochastic Service Curve of the Network第91-93页
        6.4.5 Stochastic Service Guarantees第93-94页
        6.4.6 Remark第94页
    6.5 Conclusion第94-97页
7 Conclusions and Future Work第97-99页
References第99-107页

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