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  • Cited by 14
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      April 2007
      ISBN:
      9780511618673
      9780521871006
      9781107410725
      DOI:
      https://doi.org/10.1017/CBO9780511618673
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.77kg, 282 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.45kg, 282 Pages
      • Subjects:
      Engineering, Control Systems and Optimisation, General Statistics and Probability, Optimization, OR and risk, Statistics and Probability
      Series:
      Cambridge Series in Statistical and Probabilistic Mathematics (21)
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    Subjects:
    Engineering, Control Systems and Optimisation, General Statistics and Probability, Optimization, OR and risk, Statistics and Probability
    Series:
    Cambridge Series in Statistical and Probabilistic Mathematics (21)
    Information

    Book description

    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.

    Reviews

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

    Hartmut Noltemeier Source: Zentralblatt MATH

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