Networks: Optimisation and Evolution: 21 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 21)

Whittle, Peter

ISBN 10: 052187100X / ISBN 13: 9780521871006

Published by Cambridge University Press, 2007

About this Item

This book is a masterful unification of disparate fields and lessons from nature and derives comprehensible and realistic design principles. Series: Cambridge Series in Statistical and Probabilistic Mathematics. Num Pages: 282 pages, 79 b/w illus. BIC Classification: PBU; UYQN. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 17. Weight in Grams: 650. . 2007. Illustrated. hardcover. . . . .

Seller Inventory # V9780521871006

Bibliographic Details

• Title: Networks: Optimisation and Evolution: 21 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 21)
• Publisher: Cambridge University Press
• Publication Date: 2007
• Language: English
• ISBN 10: 052187100X
• ISBN 13: 9780521871006
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

Book Description

This is a foundational book on optimisation 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.