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.
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'... a remarkable book ... a pleasure to read ... plenty of interesting results, ideas and inspiration.' Hartmut Noltemeier, Zentralblatt MATH
Book Description
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.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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flow xjk, oscillatory operation, structural optimisation, scaled costs, foundation arc, continuum analogue, concave costs, linear programme, optimal net, extremal principle, environmental penalty, neural mass, free circuits, fluid limit, dynamic programming equation, dual formulation Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Hopfield, Worldwide Web, The Hencky-Prandtl New!
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flow xjk, oscillatory operation, structural optimisation, scaled costs, foundation arc, continuum analogue, concave costs, linear programme, optimal net, extremal principle, environmental penalty, neural mass, free circuits, fluid limit, dynamic programming equation, dual formulation Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Hopfield, Worldwide Web, The Hencky-Prandtl New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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