Networks

Optimisation and Evolution

Peter Whittle (University of Cambridge)

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English

Cambridge University Press
04 October 2012

Optimisation; Neural networks & fuzzy systems

Series: Cambridge Series in Statistical and Probabilistic Mathematics

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 Bendsøe 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.

By: Peter Whittle (University of Cambridge)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 21
Dimensions: Height: 244mm, Width: 170mm, Spine: 15mm
Weight: 450g
ISBN: 9781107410725
ISBN 10: 110741072X
Series: Cambridge Series in Statistical and Probabilistic Mathematics
Pages: 282
Publication Date: 04 October 2012
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Networks: Optimisation and Evolution

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