2013
AUTHORSLuigi Ambrosio , Alberto Bressan , Dirk Helbing , Axel Klar , Enrique Zuazua , Simone Göttlich
ABSTRACTDetailed models based on partial differential equations characterizing the dynamics on single arcs of a network (roads, production lines, etc.) are considered. These models are able to describe the dynamical behavior in a network accurately. On the other hand, for large scale networks often strongly simplified dynamics or even static descriptions of the flow have been widely used for traffic flow or supply chain management due to computational reasons. In this paper, a unified presentation highlighting connections between the above approaches are given and furthermore, a hierarchy of dynamical models is developed including models based on partial differential equations and nonlinear algebraic equations or even combinatorial models based on linear equations. Special focus is on optimal control problems and optimization techniques where combinatorial and continuous optimization approaches are discussed and compared. More... »
PAGES395-461
Modelling and Optimisation of Flows on Networks
ISBN
978-3-642-32159-7
978-3-642-32160-3
http://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_8
DOIhttp://dx.doi.org/10.1007/978-3-642-32160-3_8
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1000762882
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Applied Mathematics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"familyName": "Ambrosio",
"givenName": "Luigi",
"id": "sg:person.012621721115.68",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012621721115.68"
],
"type": "Person"
},
{
"familyName": "Bressan",
"givenName": "Alberto",
"id": "sg:person.0754214334.90",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0754214334.90"
],
"type": "Person"
},
{
"familyName": "Helbing",
"givenName": "Dirk",
"id": "sg:person.01127352226.45",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01127352226.45"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of Mannheim",
"id": "https://www.grid.ac/institutes/grid.5601.2",
"name": [
"University of Mannheim, School of Business Informatics and Mathematics, A5, 6, 68131\u00a0Mannheim, Germany"
],
"type": "Organization"
},
"familyName": "Klar",
"givenName": "Axel",
"id": "sg:person.010553155452.86",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010553155452.86"
],
"type": "Person"
},
{
"familyName": "Zuazua",
"givenName": "Enrique",
"id": "sg:person.016600410137.78",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016600410137.78"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of Mannheim",
"id": "https://www.grid.ac/institutes/grid.5601.2",
"name": [
"University of Mannheim, School of Business Informatics and Mathematics, A5, 6, 68131\u00a0Mannheim, Germany"
],
"type": "Organization"
},
"familyName": "G\u00f6ttlich",
"givenName": "Simone",
"id": "sg:person.014410160006.61",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014410160006.61"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1016/j.physa.2006.01.052",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1002245526"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0191-2615(96)00017-3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1003172025"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s10957-005-5499-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004612382",
"https://doi.org/10.1007/s10957-005-5499-z"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s10957-005-5499-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004612382",
"https://doi.org/10.1007/s10957-005-5499-z"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/cpa.3160480303",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007873205"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/cpa.3160480303",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007873205"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01582063",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015080944",
"https://doi.org/10.1007/bf01582063"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-1039-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1022237469",
"https://doi.org/10.1007/978-1-4612-1039-9"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-1039-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1022237469",
"https://doi.org/10.1007/978-1-4612-1039-9"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-7214-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1022850329",
"https://doi.org/10.1007/978-3-0348-7214-0"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-7214-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1022850329",
"https://doi.org/10.1007/978-3-0348-7214-0"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/mma.779",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1032571385"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.55.5498",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040058323"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.55.5498",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040058323"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1080/00411459508205136",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046961605"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1070/sm1970v010n02abeh002156",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058198893"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.51.3164",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060717700"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.51.3164",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060717700"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/040604625",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062844871"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/05062617x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062846065"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/060659478",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062849365"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/060663799",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062849508"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/0916069",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062857767"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139900378657",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062874695"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139900380955",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062874703"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139901393184",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062874759"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139901396309",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062874771"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139997326946",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062875510"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139997332099",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062875544"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036139999356181",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062875665"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036141004402683",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062876010"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0036141093243289",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062876166"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0363012900370764",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062880409"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s0363012999361810",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062881587"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s106482750241459x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062884039"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/s1540345902419616",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062884838"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1142/s0218202504003362",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062962721"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.3934/nhm.2006.1.379",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1071742685"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.3934/nhm.2006.1.675",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1071742700"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/1.9781611970944",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1098553014"
],
"type": "CreativeWork"
}
],
"datePublished": "2013",
"datePublishedReg": "2013-01-01",
"description": "Detailed models based on partial differential equations characterizing the dynamics on single arcs of a network (roads, production lines, etc.) are considered. These models are able to describe the dynamical behavior in a network accurately. On the other hand, for large scale networks often strongly simplified dynamics or even static descriptions of the flow have been widely used for traffic flow or supply chain management due to computational reasons. In this paper, a unified presentation highlighting connections between the above approaches are given and furthermore, a hierarchy of dynamical models is developed including models based on partial differential equations and nonlinear algebraic equations or even combinatorial models based on linear equations. Special focus is on optimal control problems and optimization techniques where combinatorial and continuous optimization approaches are discussed and compared.",
"genre": "chapter",
"id": "sg:pub.10.1007/978-3-642-32160-3_8",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": {
"isbn": [
"978-3-642-32159-7",
"978-3-642-32160-3"
],
"name": "Modelling and Optimisation of Flows on Networks",
"type": "Book"
},
"name": "Modeling and Optimization of Scalar Flows on Networks",
"pagination": "395-461",
"productId": [
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/978-3-642-32160-3_8"
]
},
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"03a1fc5c7a4208d4b7920b1d5d39efe8d27018d065cb0c62e33039a56f4c5980"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1000762882"
]
}
],
"publisher": {
"location": "Berlin, Heidelberg",
"name": "Springer Berlin Heidelberg",
"type": "Organisation"
},
"sameAs": [
"https://doi.org/10.1007/978-3-642-32160-3_8",
"https://app.dimensions.ai/details/publication/pub.1000762882"
],
"sdDataset": "chapters",
"sdDatePublished": "2019-04-15T22:52",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8695_00000243.jsonl",
"type": "Chapter",
"url": "http://link.springer.com/10.1007/978-3-642-32160-3_8"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_8'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_8'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_8'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_8'
This table displays all metadata directly associated to this object as RDF triples.
196 TRIPLES
22 PREDICATES
60 URIs
19 LITERALS
7 BLANK NODES