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
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1961
• Subjects: Mathematics.; Mathematical optimization.; Operations research.; Cell aggregation > Mathematics.; Calculus of Variations and Optimal Control; Optimization.; Operations Research, Mathematical Programming.; Manifolds and Cell Complexes (incl. Diff.Topology).
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-85799-0

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:

• 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.