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020 _a9783540857990
_9978-3-540-85799-0
024 7 _a10.1007/978-3-540-85799-0
_2doi
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
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_2bicssc
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082 0 4 _a515.64
_223
100 1 _aButtazzo, Giuseppe.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aOptimal Urban Networks via Mass Transportation
_h[electronic resource] /
_cby Giuseppe Buttazzo, Aldo Pratelli, Eugene Stepanov, Sergio Solimini.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aX, 150 p. 15 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1961
505 0 _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.
520 _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.
650 0 _aMathematical optimization.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aOperations Research, Management Science.
_0http://scigraph.springernature.com/things/product-market-codes/M26024
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
700 1 _aPratelli, Aldo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aStepanov, Eugene.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aSolimini, Sergio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540858218
776 0 8 _iPrinted edition:
_z9783540857983
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1961
856 4 0 _uhttps://doi.org/10.1007/978-3-540-85799-0
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c12224
_d12224