{"id":"https://openalex.org/W2081951395","doi":"https://doi.org/10.1137/120889721","title":"Numerical Schemes for the Optimal Input Flow of a Supply Chain","display_name":"Numerical Schemes for the Optimal Input Flow of a Supply Chain","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2081951395","doi":"https://doi.org/10.1137/120889721","mag":"2081951395"},"language":"en","primary_location":{"id":"doi:10.1137/120889721","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120889721","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5066781554","display_name":"Ciro D\u2019Apice","orcid":"https://orcid.org/0000-0003-3194-3063"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. D'Apice","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060422803","display_name":"Rosanna Manzo","orcid":"https://orcid.org/0000-0002-3891-1825"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Manzo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057629608","display_name":"Benedetto Piccoli","orcid":"https://orcid.org/0000-0002-6000-5394"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. Piccoli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5087,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90151292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"5","first_page":"2634","last_page":"2650"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9980999827384949,"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":0.9980999827384949,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9948999881744385,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7244325876235962},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6354163885116577},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.5678818225860596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5563710927963257},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5141449570655823},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.4722798764705658},{"id":"https://openalex.org/keywords/inflow","display_name":"Inflow","score":0.44355711340904236},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4388981759548187},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.42682361602783203},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.42035558819770813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23201775550842285},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.2118918001651764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2014646828174591},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1342267394065857}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7244325876235962},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6354163885116577},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.5678818225860596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5563710927963257},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5141449570655823},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.4722798764705658},{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.44355711340904236},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4388981759548187},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.42682361602783203},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.42035558819770813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23201775550842285},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.2118918001651764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2014646828174591},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1342267394065857},{"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/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120889721","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120889721","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.47999998927116394,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1539037864","https://openalex.org/W1989714551","https://openalex.org/W1995707567","https://openalex.org/W2025168674","https://openalex.org/W2028949327","https://openalex.org/W2031407636","https://openalex.org/W2032554892","https://openalex.org/W2033272932","https://openalex.org/W2043815825","https://openalex.org/W2059606830","https://openalex.org/W2063188069","https://openalex.org/W2089260460","https://openalex.org/W2099204669","https://openalex.org/W2142314180"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W3095032300","https://openalex.org/W2048742619","https://openalex.org/W2384641672","https://openalex.org/W2174699897"],"abstract_inverted_index":{"An":[0],"innovative":[1],"numerical":[2,127],"technique":[3],"is":[4,35,59,87,123],"presented":[5],"to":[6,10,16,48,95],"adjust":[7],"the":[8,22,27,42,52,62,70,74,78,81,88],"inflow":[9],"a":[11,18,38,65,96,108],"supply":[12,33],"chain":[13,34],"in":[14,30],"order":[15],"achieve":[17],"desired":[19],"outflow,":[20],"reducing":[21],"costs":[23],"of":[24,44,64,91,104],"inventory":[25],"or":[26],"goods":[28],"timing":[29],"warehouses.":[31],"The":[32,56,84],"modeled":[36],"by":[37,126],"conservation":[39],"law":[40],"for":[41,51,116],"density":[43],"processed":[45],"parts":[46],"coupled":[47],"an":[49,117],"ODE":[50],"queue":[53,71],"buffer":[54],"occupancy.":[55],"control":[57],"problem":[58],"stated":[60],"as":[61],"minimization":[63],"cost":[66],"functional":[67],"$J$":[68],"measuring":[69],"size":[72],"and":[73,80,113],"quadratic":[75],"difference":[76],"between":[77],"outflow":[79],"expected":[82],"one.":[83],"main":[85],"novelty":[86],"extensive":[89],"use":[90],"generalized":[92],"tangent":[93],"vectors":[94],"piecewise":[97],"constant":[98],"control,":[99],"which":[100,122],"represent":[101],"time":[102],"shifts":[103],"discontinuity":[105],"points.":[106],"Such":[107],"method":[109],"allows":[110],"convergence":[111],"results":[112],"error":[114],"estimates":[115],"upwind-Euler":[118],"steepest":[119],"descent":[120],"algorithm,":[121],"also":[124],"tested":[125],"simulations.":[128]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}