Stochastic networks
著者
書誌事項
Stochastic networks
（Institute of Mathematical Statistics textbooks, 2）
Cambridge University Press, 2014
- : hbk
- : pbk.
大学図書館所蔵 全12件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
Communication networks underpin our modern world, and provide fascinating and challenging examples of large-scale stochastic systems. Randomness arises in communication systems at many levels: for example, the initiation and termination times of calls in a telephone network, or the statistical structure of the arrival streams of packets at routers in the Internet. How can routing, flow control and connection acceptance algorithms be designed to work well in uncertain and random environments? This compact introduction illustrates how stochastic models can be used to shed light on important issues in the design and control of communication networks. It will appeal to readers with a mathematical background wishing to understand this important area of application, and to those with an engineering background who want to grasp the underlying mathematical theory. Each chapter ends with exercises and suggestions for further reading.
目次
- Overview
- Part I: 1. Markov chains
- 2. Queueing networks
- 3. Loss networks
- Part II: 4. Decentralized optimization
- 5. Random access networks
- 6. Effective bandwidth
- Part III: 7. Internet congestion control
- 8. Flow level internet models
- Appendix A. Continuous time Markov processes
- Appendix B. Little's law
- Appendix C. Lagrange multipliers
- Appendix D. Foster-Lyapunov criteria
- References
- Index.
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