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
