Lecture Notes in Mathematics
              Volume              19612009
Optimal Urban Networks via Mass TransportationAuthors:

• Giuseppe Buttazzo,
• Aldo Pratelli,
• Eugene Stepanov,
• Sergio Solimini
• …show all 4hide
  

ISBN: 978-3-540-85798-3 (Print) 978-3-540-85799-0  (Online)



Series: Lecture Notes in Mathematics, Vol. 1961

Buttazzo, G., Pratelli, A., Solimini, S., Stepanov, E.

2009, X, 150 p. 15 illus.


ISBN 978-3-540-85799-0

  Immediately available per PDF-download (no DRM, watermarked)

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.

Table of contents / Sample pages 1 Introduction.- 2 Problem setting.- 3 Optimal connected networks.- 4 Relaxed problem and existence of solutions.- 5 Topological properties of optimal sets.- 6 Optimal sets and geodesics in the two y dimensional case.- Appendix A The mass transportation problem.- Appendix B Some tools from Geometric Measure Theory.