Cloud Computing

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Table of contents

1 Introduction 
1.1 Cloud Computing
1.2 Stochastic Modelling of Services
1.3 Mathematical Framework
1.4 Presentation of the following chapters
2 Allocation Schemes of Resources with Downgrading 
2.1 Introduction
2.2 Model description
2.3 Scaling Results
2.4 Invariant Distribution
2.5 Applications
3 Cooperative Schemes in the framework of multi-resource Cloud Computing
3.1 Introduction
3.2 Model description and notation
3.3 Scaling Results
3.4 Time Evolution
3.5 Conclusion
4 Analysis of an offloading scheme for data centres in the framework of Fog Computing 
4.1 Introduction
4.2 Model description
4.3 Characteristics of the limiting random walk
4.4 Boundary value problems
4.5 Numerical results: Offloading small data centres
4.6 Conclusion
5 Analysis of a trunk reservation policy in the framework of fog computing
5.1 Introduction
5.2 Model description
5.3 Analysis of the limiting random walk
5.4 Boundary value problems
5.5 Numerical experiments
5.6 Conclusion