02645nam 2200553Ia 450 991048406890332120200520144314.03-540-85799-010.1007/978-3-540-85799-0(CKB)1000000000546317(SSID)ssj0000319297(PQKBManifestationID)11232866(PQKBTitleCode)TC0000319297(PQKBWorkID)10338402(PQKB)10583051(DE-He213)978-3-540-85799-0(MiAaPQ)EBC3063724(PPN)131119419(EXLCZ)99100000000054631720080828d2009 uy 0engurnn|008mamaatxtccrOptimal urban networks via mass transportation /Giuseppe Buttazzo ... [et al.]1st ed. 2009.Berlin Springerc20091 online resource (X, 150 p. 15 illus.) Lecture notes in mathematics ;1961Bibliographic Level Mode of Issuance: Monograph3-540-85798-2 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.Lecture notes in mathematics (Springer-Verlag) ;1961.TransportationMathematical modelsMathematical optimizationTransportationMathematical models.Mathematical optimization.388.4Buttazzo Giuseppe42785MiAaPQMiAaPQMiAaPQBOOK9910484068903321Optimal urban networks via mass transportation261782UNINA