{"id":"https://openalex.org/W2070125118","doi":"https://doi.org/10.1137/060663799","title":"A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations","display_name":"A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2070125118","doi":"https://doi.org/10.1137/060663799","mag":"2070125118"},"language":"en","primary_location":{"id":"doi:10.1137/060663799","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060663799","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018583360","display_name":"Armin F\u00fcgenschuh","orcid":"https://orcid.org/0000-0003-3637-4066"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. F\u00fcgenschuh","raw_affiliation_strings":["fuegenschuh@mathematik.tu-darmstadt.de#TAB#"],"affiliations":[{"raw_affiliation_string":"fuegenschuh@mathematik.tu-darmstadt.de#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042598893","display_name":"Simone G\u00f6ttlich","orcid":"https://orcid.org/0000-0002-8512-4525"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. G\u00f6ttlich","raw_affiliation_strings":["goettlich@mathematik.uni-kl.de#TAB#"],"affiliations":[{"raw_affiliation_string":"goettlich@mathematik.uni-kl.de#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030773854","display_name":"Micha\u00ebl Herty","orcid":"https://orcid.org/0000-0002-6262-2927"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Herty","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058610061","display_name":"Axel Klar","orcid":"https://orcid.org/0000-0003-1679-9438"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Klar","raw_affiliation_strings":["herty@mathematik.uni-kl.de#TAB#"],"affiliations":[{"raw_affiliation_string":"herty@mathematik.uni-kl.de#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006197528","display_name":"Alexander Mart\u00edn","orcid":"https://orcid.org/0000-0001-7602-3653"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Martin","raw_affiliation_strings":["martin@mathematik.tu-darmstadt.de#TAB#"],"affiliations":[{"raw_affiliation_string":"martin@mathematik.tu-darmstadt.de#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5018583360"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.6227,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.96239388,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"3","first_page":"1490","last_page":"1507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8167321085929871},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7618516683578491},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.7138007283210754},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5750003457069397},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5222190618515015},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5158371329307556},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.45447972416877747},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.4525342881679535},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41266050934791565},{"id":"https://openalex.org/keywords/separable-partial-differential-equation","display_name":"Separable partial differential equation","score":0.4126487374305725},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4042295217514038},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3400689959526062},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.20725449919700623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11092981696128845}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8167321085929871},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7618516683578491},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.7138007283210754},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5750003457069397},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5222190618515015},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5158371329307556},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.45447972416877747},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.4525342881679535},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41266050934791565},{"id":"https://openalex.org/C101487385","wikidata":"https://www.wikidata.org/wiki/Q7451766","display_name":"Separable partial differential equation","level":5,"score":0.4126487374305725},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4042295217514038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3400689959526062},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.20725449919700623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11092981696128845},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/060663799","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060663799","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-74129","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-74129.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/215708","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/215708","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:ub-madoc.bib.uni-mannheim.de:30409","is_oa":false,"landing_page_url":"https://madoc.bib.uni-mannheim.de/30409/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401433","display_name":"MADOC (University of Mannheim)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177802217","host_organization_name":"University of Mannheim","host_organization_lineage":["https://openalex.org/I177802217"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Zeitschriftenartikel"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1578768378","https://openalex.org/W1965772065","https://openalex.org/W1973392070","https://openalex.org/W1995707567","https://openalex.org/W2025168674","https://openalex.org/W2033272932","https://openalex.org/W2037125359","https://openalex.org/W2049141170","https://openalex.org/W2059606830","https://openalex.org/W2063188069","https://openalex.org/W2088021328","https://openalex.org/W2089260460","https://openalex.org/W2106106289","https://openalex.org/W2120803616","https://openalex.org/W2126419180","https://openalex.org/W2148159997","https://openalex.org/W4230825966","https://openalex.org/W4243368091"],"related_works":["https://openalex.org/W2999616507","https://openalex.org/W2748563398","https://openalex.org/W2083332431","https://openalex.org/W2088064134","https://openalex.org/W3022381199","https://openalex.org/W3196497253","https://openalex.org/W2479314534","https://openalex.org/W2105306705","https://openalex.org/W4241338871","https://openalex.org/W2058583125"],"abstract_inverted_index":{"We":[0,19],"introduce":[1],"a":[2,21,56],"continuous":[3],"optimal":[4],"control":[5],"problem":[6],"governed":[7],"by":[8,24,35],"ordinary":[9],"and":[10,34,51],"partial":[11,31],"differential":[12,32],"equations":[13,33],"for":[14,55],"supply":[15],"chains":[16],"on":[17],"networks.":[18],"derive":[20],"mixed-integer":[22,49],"model":[23,50],"discretization":[25],"of":[26,29,46],"the":[27,30,38,47],"dynamics":[28],"approximations":[36],"to":[37],"cost":[39],"functional.":[40],"Finally,":[41],"we":[42],"investigate":[43],"numerically":[44],"properties":[45],"derived":[48],"present":[52],"numerical":[53],"results":[54],"real-world":[57],"example.":[58]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}