Optimal urban networks via mass transportation
โ Scribed by Giuseppe Buttazzo, Aldo Pratelli, Eugene Stepanov, Sergio Solimini (auth.)
- Book ID
- 127455916
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 1 MB
- Edition
- 1
- Category
- Library
- ISBN
- 3540857990
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Subjects
Manifolds and Cell Complexes (incl. Diff.Topology)
๐ SIMILAR VOLUMES
The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functional