Optimal Urban Networks via Mass Transportation

• Main Authors: Buttazzo, Giuseppe (Author), Pratelli, Aldo (Author), Stepanov, Eugene (Author), Solimini, Sergio (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1961
• Subjects: Mathematics.; Calculus of variations.; Operations research.; Management science.; Manifolds (Mathematics).; Complex manifolds.; Calculus of Variations and Optimal Control; Optimization.; Operations Research, Management Science.; Manifolds and Cell Complexes (incl. Diff.Topology).

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,...

Table of Contents:

• Problem setting
• Optimal connected networks
• Relaxed problem and existence of solutions
• Topological properties of optimal sets
• Optimal sets and geodesics in the two-dimensional case.