TY  - BOOK
AU  - Buttazzo,Giuseppe
TI  - Optimal urban networks via mass transportation
T2  - Lecture notes in mathematics,
SN  - 9783540857990
AV  - HE147.7 .O68 2009
U1  - 388.015118 22
PY  - 2009///
CY  - Berlin
PB  - Springer
KW  - Transportation
KW  - Mathematical models
KW  - Mathematical optimization
KW  - Transport
KW  - Modèles mathématiques
KW  - Optimisation mathématique
KW  - cct
KW  - Optimización matemática
KW  - embne
KW  - Transportes públicos
KW  - Modelos matemáticos
KW  - embucm
KW  - fast
KW  - Transportproblem
KW  - gnd
KW  - Netzwerk
N1  - Includes bibliographical references and index; 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
N2  - 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
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-540-85799-0
ER  -