Networks网络 :优化与发展

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作者: Peter Whittle著

出 版 社:

出版时间: 2007-4-1字数:版次: 1页数: 271印刷时间: 2007/04/01开本: 16开印次: 1纸张: 胶版纸I S B N : 9780521871006包装: 精装编辑推荐

Foundational book on optimization of network structure, not just function, deriving comprehensible and realistic design principles. Connections are made with optimal mechanical structures, formation of bone structure, and neural, processing and communication networks, including the Internet and the Web. A masterful unification of theory from disparate fields and lessons from nature.

内容简介

Point-to-point vs. hub-and-spoke. Questions of network design are real and involve many billions of dollars. Yet little is known about optimizing design - nearly all work concerns optimizing flow assuming a given design. This foundational book tackles optimization of network structure itself, deriving comprehensible and realistic design principles. With fixed material cost rates, a natural class of models implies the optimality of direct source-destination connections, but considerations of variable load and environmental intrusion then enforce trunking in the optimal design, producing an arterial or hierarchical net. Its determination requires a continuum formulation, which can however be simplified once a discrete structure begins to emerge. Connections are made with the masterly work of Bendsøe and Sigmund on optimal mechanical structures and also with neural, processing and communication networks, including those of the Internet and the Worldwide Web. Technical appendices are provided on random graphs and polymer models and on the Klimov index.

作者简介

Peter Whittle is Professor Emeritus at the University of Cambridge. From 1973 to 1986 he was Director of the Statistical Laboratory, Cambridge. He is a Fellow of the Royal Society and this is his 11th book.

目录

Acknowledgements

Conventions on notation

Tour d'Horizon

Part Ⅰ: Distributional networks

Simple flows

Continuum formulations

Multi-commodity and destination-specific flows

Variable loading

Concave costs and hierarchical structure

Road networks

Structural optimisation: Michell structures

Computational experience of evolutionary algorithms

Structure design for variable load

Part Ⅱ: Artificial neural networks

Models and learning

Some particular nets

Oscillatory operation

Part Ⅲ: Processing networks

Queueing networks

Time-sharing processor networks

Part Ⅳ: Communication networks

Loss networks: optimisation and robustness

Loss networks: stochastics and self-regulation

Operation of the Internet

Evolving networks and the Worldwide Web

Appendix 1: Spatial integrals for the telephone problem

Appendix 2: Bandit and tax processes

Appendix 3: Random graphs and polymer models

References

Index

 
 
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