Networks

Optimisation and Evolution

By: Peter Whittle

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Hardcover | 12 June 2007

At a Glance

Hardcover
282 Pages

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24.41 x 16.99 x 1.75

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Point-to-point vs hub-and-spoke. Questions of network design are real and involve many billions of dollars. Yet little is known about optimising design - nearly all work concerns optimising flow assuming a given design. This foundational book tackles optimisation 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 Bends e and Sigmund on optimal mechanical structures and also with neural, processing and communication networks, including those of the Internet and the World Wide Web. Technical appendices are provided on random graphs and polymer models and on the Klimov index.

Industry Reviews

Review of the hardback: '... a remarkable book ... a pleasure to read ... plenty of interesting results, ideas and inspiration.' Hartmut Noltemeier, Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Artificial Intelligence Neural Networks & Fuzzy Systems Mathematics Probability & Statistics Optimisation Linear Programming Science Biology, Life Sciences

Other Editions and Formats

Paperback

Published: 4th October 2012

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Tour dÆhorizon
Distribution Networks
Simple flows
Continuum formulations
Multi-class and destination-specific flows
Design optimality under variable loading
Concave costs and hierarchical structure
Road networks
Structural optimisation
Michell structures
Structures: computational experience of evolutionary algorithms
Structure design for variable loading
Artificial Neural Networks
Models and learning
Some particular nets
Oscillatory operation
Processing Networks
Queuing networks
Time-sharing networks
Communication Networks
Loss networks: optimality and robustness
Loss networks: stochastics and self-regulation
Operation of the Internet
Evolving networks and the World-wide Web
Spatial integrals for the telephone problem
Bandit and tax processes
Random graphs and polymer models
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Networks

Optimisation and Evolution

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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