Networks
Networks
Summary
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.
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Networks by Peter Whittle
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.Professor Whittle was born and raised in Wellington, New Zealand, where he received his education. He received his PhD from the University of Uppsala in Sweden in 1951. He then worked for the New Zealand DSIR until 1959, when he accepted a position as a Lecturer in Mathematics at Cambridge University. He was named Churchill Professor of the Mathematics of Operational Research at Cambridge University in 1967 after two years as Professor of Mathematical Statistics at Manchester University. Professor Whittle was elected to the Royal Society in 1978 and the Royal Society of New Zealand in 1981 as an Honorary Fellow. In 1987, he got the Lanchester Prize of the Operational Research Society of America for his book Systems in Stochastic Equilibrium, and in 1994, he received the Royal Society's Sylvester Prize.
| SKU | Unavailable |
| ISBN 13 | 9781107410725 |
| ISBN 10 | 110741072X |
| Title | Networks |
| Author | Peter Whittle |
| Series | Cambridge Series In Statistical And Probabilistic Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2012-10-04 |
| Number of pages | 282 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |