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035   $a(DE-He213)978-3-540-85799-0
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100   $a20110406d2009      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aOptimal Urban Networks via Mass Transportation$b[electronic resource] /$fby Giuseppe Buttazzo, Aldo Pratelli, Sergio Solimini, Eugene Stepanov
205   $a1st ed. 2009.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009.
215   $a1 online resource (X, 150 p. 15 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1961
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-85798-2 
320   $aIncludes bibliographical references and index.
327   $aProblem setting -- Optimal connected networks -- Relaxed problem and existence of solutions -- Topological properties of optimal sets -- Optimal sets and geodesics in the two-dimensional case.
330   $aRecently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where" optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1961
606   $aCalculus of variations
606   $aOperations research
606   $aManagement science
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
615  0$aCalculus of variations.
615  0$aOperations research.
615  0$aManagement science.
615  0$aManifolds (Mathematics).
615  0$aComplex manifolds.
615 14$aCalculus of Variations and Optimal Control; Optimization.
615 24$aOperations Research, Management Science.
615 24$aManifolds and Cell Complexes (incl. Diff.Topology).
676   $a388.4
700   $aButtazzo$b Giuseppe$4aut$4http://id.loc.gov/vocabulary/relators/aut$042785
702   $aPratelli$b Aldo$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aSolimini$b Sergio$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aStepanov$b Eugene$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a996466512603316
996   $aOptimal urban networks via mass transportation$9261782
997   $aUNISA