{"id":"https://openalex.org/W3000890979","doi":"https://doi.org/10.1155/2020/1085870","title":"Mitigation of Bullwhip Effect in Closed-Loop Supply Chain Based on Fuzzy Robust Control Approach","display_name":"Mitigation of Bullwhip Effect in Closed-Loop Supply Chain Based on Fuzzy Robust Control Approach","publication_year":2020,"publication_date":"2020-01-21","ids":{"openalex":"https://openalex.org/W3000890979","doi":"https://doi.org/10.1155/2020/1085870","mag":"3000890979"},"language":"en","primary_location":{"id":"doi:10.1155/2020/1085870","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/1085870","pdf_url":"http://downloads.hindawi.com/journals/complexity/2020/1085870.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/complexity/2020/1085870.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101844275","display_name":"Songtao Zhang","orcid":"https://orcid.org/0000-0001-8040-2023"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Songtao Zhang","raw_affiliation_strings":["School of Logistics, Linyi University, Linyi 276005, China"],"affiliations":[{"raw_affiliation_string":"School of Logistics, Linyi University, Linyi 276005, China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100402894","display_name":"Min Zhang","orcid":"https://orcid.org/0000-0002-2406-5007"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Zhang","raw_affiliation_strings":["Library, Linyi University, Linyi 276005, China"],"affiliations":[{"raw_affiliation_string":"Library, Linyi University, Linyi 276005, China","institution_ids":["https://openalex.org/I15823474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100402894"],"corresponding_institution_ids":["https://openalex.org/I15823474"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.0756,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87830945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.996999979019165,"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":0.996999979019165,"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":0.996399998664856,"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/T11864","display_name":"Supply Chain Resilience and Risk Management","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bullwhip-effect","display_name":"Bullwhip effect","score":0.8055848479270935},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.7591872215270996},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.5791366100311279},{"id":"https://openalex.org/keywords/lead","display_name":"Lead (geology)","score":0.5601292848587036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5552470684051514},{"id":"https://openalex.org/keywords/lead-time","display_name":"Lead time","score":0.5075022578239441},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4888262152671814},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46705472469329834},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.456844687461853},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4321722090244293},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.4074729382991791},{"id":"https://openalex.org/keywords/risk-analysis","display_name":"Risk analysis (engineering)","score":0.3681796193122864},{"id":"https://openalex.org/keywords/supply-chain-management","display_name":"Supply chain management","score":0.31713417172431946},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.1318148374557495},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.059141606092453}],"concepts":[{"id":"https://openalex.org/C178595485","wikidata":"https://www.wikidata.org/wiki/Q1343909","display_name":"Bullwhip effect","level":4,"score":0.8055848479270935},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.7591872215270996},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.5791366100311279},{"id":"https://openalex.org/C2777093003","wikidata":"https://www.wikidata.org/wiki/Q6508345","display_name":"Lead (geology)","level":2,"score":0.5601292848587036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5552470684051514},{"id":"https://openalex.org/C2781468064","wikidata":"https://www.wikidata.org/wiki/Q1267117","display_name":"Lead time","level":2,"score":0.5075022578239441},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4888262152671814},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46705472469329834},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.456844687461853},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4321722090244293},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.4074729382991791},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.3681796193122864},{"id":"https://openalex.org/C44104985","wikidata":"https://www.wikidata.org/wiki/Q492886","display_name":"Supply chain management","level":3,"score":0.31713417172431946},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.1318148374557495},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.059141606092453},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/1085870","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/1085870","pdf_url":"http://downloads.hindawi.com/journals/complexity/2020/1085870.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:1085870","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/1085870.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:d0adf7e7dd85447e8451447b2df5f8d6","is_oa":true,"landing_page_url":"https://doaj.org/article/d0adf7e7dd85447e8451447b2df5f8d6","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/1085870","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/1085870","pdf_url":"http://downloads.hindawi.com/journals/complexity/2020/1085870.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2696157397","display_name":null,"funder_award_id":"ZR201","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5601016843","display_name":null,"funder_award_id":"ZR2018 MG004","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6924028813","display_name":null,"funder_award_id":"ZR2018","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8944219665","display_name":null,"funder_award_id":"19BYSJ13","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000890979.pdf","grobid_xml":"https://content.openalex.org/works/W3000890979.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1964146623","https://openalex.org/W1979916414","https://openalex.org/W1984118375","https://openalex.org/W1993882083","https://openalex.org/W2007887484","https://openalex.org/W2029608650","https://openalex.org/W2036560642","https://openalex.org/W2062052267","https://openalex.org/W2073129402","https://openalex.org/W2079325629","https://openalex.org/W2097394924","https://openalex.org/W2119984215","https://openalex.org/W2141314876","https://openalex.org/W2321035786","https://openalex.org/W2419250400","https://openalex.org/W2590031356","https://openalex.org/W2754699040","https://openalex.org/W2789340341","https://openalex.org/W2795627095","https://openalex.org/W2809740246","https://openalex.org/W2909407385","https://openalex.org/W2915222633","https://openalex.org/W2973156030"],"related_works":["https://openalex.org/W2148450855","https://openalex.org/W3122278156","https://openalex.org/W1741658457","https://openalex.org/W2184879781","https://openalex.org/W1979916414","https://openalex.org/W1475661507","https://openalex.org/W2998154754","https://openalex.org/W2392919332","https://openalex.org/W2808719431","https://openalex.org/W2596958689"],"abstract_inverted_index":{"Uncertainties":[0],"and":[1,14,64,70,99,117],"lead":[2,43,127],"times":[3],"make":[4],"the":[5,16,36,39,46,52,54,62,65,86,89,92,97,100,115,119,123,133,137,140],"closed-loop":[6],"supply":[7],"chain":[8],"(CLSC)":[9],"more":[10,22],"complex,":[11],"less":[12],"stable,":[13],"then":[15],"bullwhip":[17],"effect":[18,135],"(BE)":[19],"will":[20,26],"become":[21],"intense.":[23],"This":[24],"paper":[25],"address":[27],"a":[28,77],"fuzzy":[29],"robust":[30,120],"control":[31],"(FRC)":[32],"approach":[33,110],"to":[34,85,113],"mitigate":[35,114],"BE":[37,116,138],"in":[38,51],"uncertain":[40,124],"CLSC":[41,90,125],"with":[42,126],"times.":[44,128],"For":[45],"reverse":[47],"channels":[48],"for":[49],"products":[50,57,72],"CLSC,":[53],"customers\u2019":[55],"used":[56],"are":[58,104],"recycled":[59],"by":[60,74],"both":[61],"manufacturer":[63],"third":[66],"party":[67],"recovery":[68],"provider,":[69],"new":[71,108],"bought":[73],"customers":[75],"within":[76],"certain":[78],"period":[79],"of":[80,96,122,136],"time":[81],"can":[82],"be":[83],"returned":[84],"retailer.":[87],"In":[88],"system,":[91],"state":[93],"transformation":[94],"equations":[95],"inventories":[98],"total":[101],"operation":[102],"cost":[103],"set":[105],"up.":[106],"A":[107,129],"FRC":[109,142],"is":[111],"proposed":[112,141],"realize":[118],"stability":[121],"simulation":[130],"example":[131],"verifies":[132],"mitigation":[134],"under":[139],"approach.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}