{"id":"https://openalex.org/W2898810658","doi":"https://doi.org/10.1080/17517575.2018.1539773","title":"A supply chain network equilibrium model with a smoothing newton solution scheme","display_name":"A supply chain network equilibrium model with a smoothing newton solution scheme","publication_year":2018,"publication_date":"2018-10-31","ids":{"openalex":"https://openalex.org/W2898810658","doi":"https://doi.org/10.1080/17517575.2018.1539773","mag":"2898810658"},"language":"en","primary_location":{"id":"doi:10.1080/17517575.2018.1539773","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17517575.2018.1539773","pdf_url":null,"source":{"id":"https://openalex.org/S24861202","display_name":"Enterprise Information Systems","issn_l":"1751-7575","issn":["1751-7575","1751-7583"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Enterprise Information Systems","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/A5074707913","display_name":"Qiujun Lan","orcid":"https://orcid.org/0000-0001-7523-9487"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiujun Lan","raw_affiliation_strings":["Business School, Hunan University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100743863","display_name":"Lin Zou","orcid":"https://orcid.org/0000-0001-7880-2992"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lin Zou","raw_affiliation_strings":["Business School, Hunan University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027609269","display_name":"Yin Zhou","orcid":"https://orcid.org/0000-0003-4008-7334"},"institutions":[{"id":"https://openalex.org/I4210141966","display_name":"China Academy of Railway Sciences","ror":"https://ror.org/051wv2j09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210141966"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yin Zhou","raw_affiliation_strings":["Transportation &amp; Economics Research Institute, China Academy of Railway Science, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Transportation &amp; Economics Research Institute, China Academy of Railway Science, Beijing, China","institution_ids":["https://openalex.org/I4210141966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078665591","display_name":"Linjie He","orcid":"https://orcid.org/0000-0001-5831-3235"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linjie He","raw_affiliation_strings":["Business School, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-5831-3235","affiliations":[{"raw_affiliation_string":"Business School, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100743863"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":0.5914,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74254889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"2","first_page":"170","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9923999905586243,"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"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9923999905586243,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9725000262260437,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8375217914581299},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.7916711568832397},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7628805041313171},{"id":"https://openalex.org/keywords/supply-chain-network","display_name":"Supply chain network","score":0.734755277633667},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6762282848358154},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6154088377952576},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.5545934438705444},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5185894966125488},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49742868542671204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44808003306388855},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37721866369247437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36362946033477783},{"id":"https://openalex.org/keywords/supply-chain-management","display_name":"Supply chain management","score":0.27534469962120056},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.19708549976348877},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12485399842262268}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8375217914581299},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7916711568832397},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7628805041313171},{"id":"https://openalex.org/C2778397037","wikidata":"https://www.wikidata.org/wiki/Q17083947","display_name":"Supply chain network","level":4,"score":0.734755277633667},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6762282848358154},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6154088377952576},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.5545934438705444},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5185894966125488},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49742868542671204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44808003306388855},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37721866369247437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36362946033477783},{"id":"https://openalex.org/C44104985","wikidata":"https://www.wikidata.org/wiki/Q492886","display_name":"Supply chain management","level":3,"score":0.27534469962120056},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.19708549976348877},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12485399842262268},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/17517575.2018.1539773","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17517575.2018.1539773","pdf_url":null,"source":{"id":"https://openalex.org/S24861202","display_name":"Enterprise Information Systems","issn_l":"1751-7575","issn":["1751-7575","1751-7583"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Enterprise Information Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G3549891922","display_name":"\u91d1\u878d\u6570\u636e\u9690\u79c1\u98ce\u9669\u5ea6\u91cf\u53ca\u9690\u79c1\u4fdd\u62a4\u4e0b\u7684\u6570\u636e\u5171\u4eab\u4e0e\u6316\u6398\u7814\u7a76","funder_award_id":"71871090","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1520153821","https://openalex.org/W1560867458","https://openalex.org/W1967759264","https://openalex.org/W1973146216","https://openalex.org/W1977454934","https://openalex.org/W1980614749","https://openalex.org/W1981229337","https://openalex.org/W1981947863","https://openalex.org/W1987332758","https://openalex.org/W1988625015","https://openalex.org/W1992688650","https://openalex.org/W1993002876","https://openalex.org/W2004443961","https://openalex.org/W2005148680","https://openalex.org/W2008176082","https://openalex.org/W2008913508","https://openalex.org/W2013243898","https://openalex.org/W2030169236","https://openalex.org/W2036930530","https://openalex.org/W2040006905","https://openalex.org/W2040628347","https://openalex.org/W2042719979","https://openalex.org/W2048084111","https://openalex.org/W2051269616","https://openalex.org/W2052223101","https://openalex.org/W2056717445","https://openalex.org/W2059429803","https://openalex.org/W2064351725","https://openalex.org/W2064878312","https://openalex.org/W2065597810","https://openalex.org/W2074811759","https://openalex.org/W2080967529","https://openalex.org/W2085056421","https://openalex.org/W2087064588","https://openalex.org/W2093246563","https://openalex.org/W2108610625","https://openalex.org/W2122841946","https://openalex.org/W2128234186","https://openalex.org/W2129592590","https://openalex.org/W2135157958","https://openalex.org/W2147531075","https://openalex.org/W2158762687","https://openalex.org/W2196030101","https://openalex.org/W4205795514","https://openalex.org/W4241059251","https://openalex.org/W4248606763"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2326246655","https://openalex.org/W2779794807","https://openalex.org/W2182187820","https://openalex.org/W2363745126","https://openalex.org/W2391352259"],"abstract_inverted_index":{"Considering":[0],"that":[1,16],"a":[2,10,53,90],"supply":[3,11],"chain":[4,12],"comprises":[5],"several":[6],"independent":[7],"decision":[8,32],"makers,":[9],"network":[13,92],"equilibrium":[14,38],"model":[15,93],"consists":[17],"of":[18,30,62,74,81],"manufacturers,":[19],"retailers":[20],"and":[21,49,59],"consumers":[22],"is":[23,40,50,65,86],"developed.":[24],"After":[25],"analysing":[26],"the":[27,35,37,63,71,75,78,82,95],"optimal":[28],"conditions":[29],"various":[31],"makers":[33],"in":[34,94],"model,":[36],"condition":[39],"established":[41],"as":[42],"an":[43],"equivalent,":[44],"finite-dimensional":[45],"variational":[46],"inequality":[47],"formulation":[48],"solved":[51],"by":[52],"smoothing":[54,83],"Newton":[55,84],"method.":[56,76],"The":[57,67],"global":[58],"quadratic":[60],"convergence":[61,73,80],"method":[64,85],"established.":[66],"numerical":[68],"results":[69],"show":[70],"rapid":[72,79],"Additionally,":[77],"beneficial":[87],"when":[88],"solving":[89],"complicated":[91],"real":[96],"world.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
