Optimal Urban Networks via Mass Transportation [electronic resource] /
Buttazzo, Giuseppe.author.
Pratelli, Aldo.author.
Solimini, Sergio.author.
Stepanov, Eugene.author.
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.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
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.
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.
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).
Lecture notes in mathematics