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复杂网络控制技术




电力网络、柔性制造、移动通信等等互连都形成了复杂网络。本书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。本书内容分为三个部分: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。

本书内容循序渐进,每章均附有习题并提供习题解答。基础章节部分要求读者具有随机过程和线性代数知识,适用于信息类、电子类等专业高年级本科生,高级部分则适用于研究生、研究人员和从业者。



作者:
Sean Meyn

定价:
66.00 元

出版时间:
2009-04-22

ISBN:
978-7-04-025481-5

物料号:
25481-00

读者对象:
学术著作

一级分类:
自然科学

二级分类:
计算机科学与工程

三级分类:
计算机网络/Internet与WWW

重点项目:
暂无

版面字数:
750千字

开本:
16开

装帧形式:
平装

页数:
562

最新
印次时间:
2009年01月
  • 目录
    • Front Matter
      • 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