{"id":"https://openalex.org/W2089260460","doi":"https://doi.org/10.1137/s1540345902419616","title":"Kinetic and Fluid Model Hierarchies for Supply Chains","display_name":"Kinetic and Fluid Model Hierarchies for Supply Chains","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2089260460","doi":"https://doi.org/10.1137/s1540345902419616","mag":"2089260460"},"language":"en","primary_location":{"id":"doi:10.1137/s1540345902419616","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1540345902419616","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","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/A5023824004","display_name":"Dieter Armbruster","orcid":"https://orcid.org/0000-0001-9681-9173"},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]}],"countries":["CY"],"is_corresponding":true,"raw_author_name":"D. Armbruster","raw_affiliation_strings":["CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)"],"affiliations":[{"raw_affiliation_string":"CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)","institution_ids":["https://openalex.org/I4210152479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109837188","display_name":"Daniel Marthaler","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Marthaler","raw_affiliation_strings":["Duke University"],"affiliations":[{"raw_affiliation_string":"Duke University","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110032299","display_name":"Christian Ringhofer","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Ringhofer","raw_affiliation_strings":["Arizona State University"],"affiliations":[{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023824004"],"corresponding_institution_ids":["https://openalex.org/I4210152479"],"apc_list":null,"apc_paid":null,"fwci":10.5229,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.98083506,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2","issue":"1","first_page":"43","last_page":"61"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9997000098228455,"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":0.9997000098228455,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.8061996102333069},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6391056776046753},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5982821583747864},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5297141075134277},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.5142549872398376},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.48457205295562744},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4653658866882324},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44272521138191223},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.4393707513809204},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4249856770038605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4008524417877197},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37806636095046997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3729114532470703},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28894439339637756},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.281386137008667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17587247490882874},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07960566878318787}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.8061996102333069},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6391056776046753},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5982821583747864},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5297141075134277},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.5142549872398376},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.48457205295562744},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4653658866882324},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44272521138191223},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.4393707513809204},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4249856770038605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4008524417877197},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37806636095046997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3729114532470703},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28894439339637756},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.281386137008667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17587247490882874},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07960566878318787},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1540345902419616","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1540345902419616","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1538135945","https://openalex.org/W1974649092","https://openalex.org/W2014346895","https://openalex.org/W2029465969","https://openalex.org/W2032137277","https://openalex.org/W2034976587","https://openalex.org/W2049176600","https://openalex.org/W2051429641","https://openalex.org/W2074310496","https://openalex.org/W2089967443","https://openalex.org/W2095797625"],"related_works":["https://openalex.org/W2365647353","https://openalex.org/W4385401023","https://openalex.org/W2044363610","https://openalex.org/W2363056536","https://openalex.org/W2029548118","https://openalex.org/W2295575944","https://openalex.org/W2060911134","https://openalex.org/W2347400435","https://openalex.org/W2800950139","https://openalex.org/W4214715787"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"model":[3],"hierarchy":[4,14],"for":[5,32],"queuing":[6],"networks":[7],"and":[8,54],"supply":[9],"chains,":[10],"analogous":[11],"to":[12,21],"the":[13,17,22,33,39,44,50],"leading":[15],"from":[16],"many":[18],"body":[19],"problem":[20],"equations":[23],"of":[24,35,46],"gas":[25],"dynamics.":[26],"Various":[27],"possible":[28],"mean":[29,51],"field":[30,52],"models":[31,53],"interaction":[34],"individual":[36],"parts":[37],"in":[38],"chain":[40],"are":[41,57],"presented.":[42],"For":[43],"case":[45],"linearly":[47],"ordered":[48],"queues":[49],"fluid":[55],"approximations":[56],"verified":[58],"numerically.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}