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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 Bendsoe 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.

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Book Details

ISBN: 9780521871006
ISBN-10: 052187100X
Format: Hardback
(228mm x 152mm x 17mm)
Pages: 282
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 12-Apr-2007
Country of Publication: United Kingdom

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Author Biography - Peter Whittle

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.

Books By Author Peter Whittle

Networks by Peter Whittle


Paperback, October 2012
Neural Nets and Chaotic Carriers by Peter Whittle

Neural Nets and Chaotic Carriers

Hardback, August 2010
Optimal Control by Peter Whittle

Optimal Control

Hardback, December 1995