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  • © 2009

Optimal Urban Networks via Mass Transportation

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1961)

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Table of contents (6 chapters)

  1. Front Matter

    Pages 1-8
  2. Introduction

    • Giuseppe Buttazzo, Sergio Solimini, Aldo Pratelli, Eugene Stepanov
    Pages 1-6
  3. Problem setting

    • Giuseppe Buttazzo, Sergio Solimini, Aldo Pratelli, Eugene Stepanov
    Pages 1-17
  4. Optimal connected networks

    • Giuseppe Buttazzo, Sergio Solimini, Aldo Pratelli, Eugene Stepanov
    Pages 1-12
  5. Relaxed problem and existence of solutions

    • Giuseppe Buttazzo, Sergio Solimini, Aldo Pratelli, Eugene Stepanov
    Pages 1-37
  6. Topological properties of optimal sets

    • Giuseppe Buttazzo, Sergio Solimini, Aldo Pratelli, Eugene Stepanov
    Pages 1-29
  7. Optimal sets and geodesics in the two-dimensional case

    • Giuseppe Buttazzo, Sergio Solimini, Aldo Pratelli, Eugene Stepanov
    Pages 1-25
  8. Back Matter

    Pages 1-26

About this book

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where," optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.

Keywords

  • Area
  • communication
  • distribution
  • eXist
  • mass transportation
  • measure theory
  • network
  • networks
  • optimal networks
  • optimization
  • service
  • sets
  • topology
  • types
  • urban planning

Authors and Affiliations

  • Dipto. Matematica, Università Pisa, Pisa, Italy

    Giuseppe Buttazzo

  • Dipto. Matematica, Università di Pavia, Pavia, Italy

    Aldo Pratelli

  • of Information Technologies, , Mechanics and Optics, St.Petersburg State University, St Petersburg, Russian Federation

    Eugene Stepanov

  • Dipto. Matematica, Politecnico di Bari, Bari, Italy

    Sergio Solimini

Bibliographic Information

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions