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词条 复杂网络控制技术
释义

《复杂网络控制技术》着眼于复杂网络系统中的共性问题,综合了作者多年来在该方向深入、系统的研究成果,给出了建立网络模型所需要的工具和哲学思想,详细具体地把握了其动力学本质,同时简明地揭示了有效控制的解决方案及其分析

图书信息

书 名: 复杂网络控制技术

作 者:迈恩

出版社: 高等教育出版社

出版时间: 2009年04月

ISBN: 9787040254815

开本: 16开

定价: 66元

内容简介

《复杂网络控制技术》着眼于复杂网络系统中的共性问题,综合了作者多年来在该方向深入、系统的研究成果,给出了建立网络模型所需要的工具和哲学思想,详细具体地把握了其动力学本质,同时简明地揭示了有效控制的解决方案及其分析。《复杂网络控制技术》内容分为三个部分:第一部分为建模与控制,第二部分为负荷调度,第三部分为稳定性及性能分析。

作者简介

Sean Meyn,伊利诺斯大学电子与计算机工程系教授,IEEE Fellow。担任系统与控制、应用概率等领域多个期刊的编委。与他人合著的图书Markov Chains and Stochastic Stability获1994年ORSA/TIMS最佳著作奖。在MIT4 UTRC等世界各地多个大学担任客座教授。他的研究兴趣包括随机过程、最优化、复杂网络以及信息论等。

图书目录

List of Illustrations

Preface

Dedication

1 Introduction

1.1 Networks in practice

1.2 Mathematical models

1.3 What do you need to know to read this book?

1.4 Notes

Part I: Modeling and Control

2 Examples

2.1 Modeling the single server queue

2.2 Klimov model

2.3 Capacity and queueing in communication systems

2.4 Multiple-access communication

2.5 Processor sharing model

2.6 Inventory model

2.7 Power transmission network

2.8 Optimization in a simple re-entrant line

2.9 Contention for resources and instability

2.10 Routing model

2.11 Braess' paradox

2.12 Notes

3 The Single Server Queue

3.1 Representations

3.2 Approximations

3.3 Stability

3.4 Invariance equations

3.5 Big queues

3.6 Model selection

3.7 Notes

Exercises

4 Scheduling

4.1 Controlled random-walk model

4.2 Fluid model

4.3 Control techniques for the fluid model

4.4 Comparing fluid and stochastic models

4.5 Structure of optimal policies

4.6 Safety-stocks

4.7 Discrete review

4.8 MaxWeight and MinDrift

4.9 Perturbed value function

4.10 Notes

Exercises

Part II: Workload

5 Workload and Scheduling

5.1 Single server queue

5.2 Workload for the CRW scheduling model

5.3 Relaxations for the fluid model

5.4 Stochastic workload models

5.5 Pathwise optimality and workload

5.6 Hedging in networks

5.7 Notes

Exercises

6 Routing and Resource Pooling

6.1 Workload in general models

6.2 Resource pooling

6.3 Routing and workload

6.4 MaxWeight for routing and scheduling

6.5 Simultaneous resource possession

6.6 Workload relaxations

6.7 Relaxations and policy synthesis for stochastic models

6.8 Notes

Exercises

7 Demand

7.1 Network models

7.2 Transients

7.3 Workload relaxations

7.4 Hedging in a simple inventory model

7.5 Hedging in networks

7.6 Summary of steady-state control techniques

7.7 Notes

Exercises

Part III: Stability and Performance

8 Foster-Lyapunov Techniques

8.1 Lyapunov functions

8.2 Lyapunov functions for networks

8.3 Discrete review

8.4 MaxWeight

8.5 MaxWeight and the average-cost optimality equation

8.6 Linear programs for performance bounds

8.7 Brownian workload model

8.8 Notes

Exercises

9 Optimization

9.1 Reachability and decomposibility

9.2 Linear programming formulations

9.3 Multiobjective optimization

9.4 Optimality equations

9.5 Algorithms

9.6 Optimization in networks

9.7 One-dimensional inventory model

9.8 Hedging and workload

9.9 Notes

Exercises

10 ODE Methods

10.1 Examples

10.2 Mathematical preliminaries

10.3 Fluid limit model

10.4 Fluid-scale stability

10.5 Safety stocks and trajectory tracking

10.6 Fluid-scale asymptotic optimality

10.7 Brownian workload model

10.8 Notes

Exercises

11 Simulation and Learning

11.1 Deciding when to stop

11.2 Asymptotic theory for Markov models

11.3 The single-server queue

11.4 Control variates and shadow functions

11.5 Estimating a value function

11.6 Notes

Exercises

Appendix Markov Models

Bibliography

Index

……

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