{"id":"https://openalex.org/W4292083864","doi":"https://doi.org/10.1016/j.eswa.2022.117364","title":"Modified metaheuristic algorithms to design a closed-loop supply chain network considering quantity discount and fixed-charge transportation","display_name":"Modified metaheuristic algorithms to design a closed-loop supply chain network considering quantity discount and fixed-charge transportation","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W4292083864","doi":"https://doi.org/10.1016/j.eswa.2022.117364"},"language":"en","primary_location":{"id":"doi:10.1016/j.eswa.2022.117364","doi":"https://doi.org/10.1016/j.eswa.2022.117364","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.eswa.2022.117364","pdf_url":null,"source":{"id":"https://openalex.org/S13144211","display_name":"Expert Systems with Applications","issn_l":"0957-4174","issn":["0957-4174","1873-6793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-c","doyens","fnege-3","jufo-2","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Expert Systems with Applications","raw_type":"journal-article"},"volume":null,"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/A5065957524","display_name":"Golara Chaharmahali","orcid":"https://orcid.org/0000-0003-1368-9938","observed_orcids":["https://orcid.org/0000-0003-1368-9938"]},"institutions":[{"id":"https://openalex.org/I4210158817","display_name":"Islamic Azad University, Masjed Soleyman","ror":"https://ror.org/05m905s87","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210158817"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Golara Chaharmahali","raw_affiliation_strings":["Department of Industrial Engineering, Azad University, Masjed Soleyman Branch, Masjed Soleyman, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Azad University, Masjed Soleyman Branch, Masjed Soleyman, Iran","institution_ids":["https://openalex.org/I4210158817"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056063899","display_name":"Davoud Ghandalipour","orcid":"https://orcid.org/0000-0002-6107-7306","observed_orcids":["https://orcid.org/0000-0002-6107-7306"]},"institutions":[{"id":"https://openalex.org/I4210158817","display_name":"Islamic Azad University, Masjed Soleyman","ror":"https://ror.org/05m905s87","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210158817"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Davoud Ghandalipour","raw_affiliation_strings":["Department of Industrial Engineering, Azad University, Masjed Soleyman Branch, Masjed Soleyman, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Azad University, Masjed Soleyman Branch, Masjed Soleyman, Iran","institution_ids":["https://openalex.org/I4210158817"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008705043","display_name":"Milad Jasemi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I6066122","display_name":"University of Montevallo","ror":"https://ror.org/01fd8g905","country_code":"US","type":"education","lineage":["https://openalex.org/I6066122"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Milad Jasemi","raw_affiliation_strings":["Department of Computer Informatics, Stephens College of Business, University of Montevallo, AL, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Informatics, Stephens College of Business, University of Montevallo, AL, United States","institution_ids":["https://openalex.org/I6066122"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053275499","display_name":"Saber Molla\u2010Alizadeh\u2010Zavardehi","orcid":"https://orcid.org/0000-0001-7547-935X","observed_orcids":["https://orcid.org/0000-0001-7547-935X"]},"institutions":[{"id":"https://openalex.org/I4210158817","display_name":"Islamic Azad University, Masjed Soleyman","ror":"https://ror.org/05m905s87","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210158817"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Saber Molla-Alizadeh-Zavardehi","raw_affiliation_strings":["Department of Industrial Engineering, Azad University, Masjed Soleyman Branch, Masjed Soleyman, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Azad University, Masjed Soleyman Branch, Masjed Soleyman, Iran","institution_ids":["https://openalex.org/I4210158817"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008705043"],"corresponding_institution_ids":["https://openalex.org/I6066122"],"apc_list":{"value":3130,"currency":"USD","value_usd":3130},"apc_paid":null,"fwci":4.2931,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.93987408,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"202","issue":null,"first_page":"117364","last_page":"117364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10539","display_name":"Sustainable Supply Chain Management","score":0.9746000170707703,"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"}},"topics":[{"id":"https://openalex.org/T10539","display_name":"Sustainable Supply Chain Management","score":0.9746000170707703,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.007499999832361937,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.002099999925121665,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/closed-loop-supply-chain-network-design","display_name":"closed-loop supply chain network design","score":0.9430000185966492},{"id":"https://openalex.org/keywords/quantity-discounts","display_name":"quantity discounts","score":0.9929999709129333},{"id":"https://openalex.org/keywords/metaheuristic-algorithms","display_name":"metaheuristic algorithms","score":0.8119999766349792},{"id":"https://openalex.org/keywords/modified-differential-evolution","display_name":"modified differential evolution","score":0.9670000076293945},{"id":"https://openalex.org/keywords/restart-mechanism","display_name":"restart mechanism","score":0.7710000276565552},{"id":"https://openalex.org/keywords/taguchi-method","display_name":"Taguchi method","score":0.8379999995231628},{"id":"https://openalex.org/keywords/hybrid-metaheuristic-algorithm","display_name":"hybrid metaheuristic","score":0.6370000243186951}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.705094575881958},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.6420448422431946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6123130321502686},{"id":"https://openalex.org/C2776435737","wikidata":"https://www.wikidata.org/wiki/Q7915703","display_name":"Variable neighborhood search","level":3,"score":0.5259243249893188},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.5089797973632812},{"id":"https://openalex.org/C83469408","wikidata":"https://www.wikidata.org/wiki/Q2036525","display_name":"Taguchi methods","level":2,"score":0.5021727085113525},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5021026134490967},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4955211877822876},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.45455634593963623},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.4491385221481323},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.44290685653686523},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.43176716566085815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18536874651908875},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09745582938194275},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.eswa.2022.117364","doi":"https://doi.org/10.1016/j.eswa.2022.117364","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.eswa.2022.117364","pdf_url":null,"source":{"id":"https://openalex.org/S13144211","display_name":"Expert Systems with Applications","issn_l":"0957-4174","issn":["0957-4174","1873-6793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-c","doyens","fnege-3","jufo-2","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Expert Systems with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.4943999946117401,"display_name":"Industry, innovation and infrastructure"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W1492417045","https://openalex.org/W1595159159","https://openalex.org/W1836977276","https://openalex.org/W1970000790","https://openalex.org/W1977873959","https://openalex.org/W1987092188","https://openalex.org/W1987548977","https://openalex.org/W1990398792","https://openalex.org/W1993728969","https://openalex.org/W1997591019","https://openalex.org/W2008428752","https://openalex.org/W2017434437","https://openalex.org/W2039397179","https://openalex.org/W2060213618","https://openalex.org/W2062488642","https://openalex.org/W2062962774","https://openalex.org/W2063160149","https://openalex.org/W2064887541","https://openalex.org/W2082034461","https://openalex.org/W2112850949","https://openalex.org/W2143482492","https://openalex.org/W2156728410","https://openalex.org/W2164655924","https://openalex.org/W2164866963","https://openalex.org/W2166843422","https://openalex.org/W2341983399","https://openalex.org/W2564185836","https://openalex.org/W2609295962","https://openalex.org/W2611332821","https://openalex.org/W2735304974","https://openalex.org/W2735808203","https://openalex.org/W2746473624","https://openalex.org/W2755872041","https://openalex.org/W2767119104","https://openalex.org/W2767307018","https://openalex.org/W2772593466","https://openalex.org/W2803525490","https://openalex.org/W2808241045","https://openalex.org/W2883813691","https://openalex.org/W2891364111","https://openalex.org/W2921983760","https://openalex.org/W2955869862","https://openalex.org/W2983983697","https://openalex.org/W2999440819","https://openalex.org/W3042859108","https://openalex.org/W3044692478","https://openalex.org/W3048694900","https://openalex.org/W3059069256","https://openalex.org/W3081240133","https://openalex.org/W3103906052","https://openalex.org/W3106340192","https://openalex.org/W3122452412","https://openalex.org/W3127891042","https://openalex.org/W3129752643","https://openalex.org/W3135029437","https://openalex.org/W3142592920","https://openalex.org/W3159684381","https://openalex.org/W3175029775","https://openalex.org/W3175489197","https://openalex.org/W3185681629","https://openalex.org/W3196511706","https://openalex.org/W3199092140","https://openalex.org/W3205295754","https://openalex.org/W3215225314","https://openalex.org/W4200042162","https://openalex.org/W4200181468","https://openalex.org/W4301173492"],"related_works":["https://openalex.org/W3025692890","https://openalex.org/W2788096236","https://openalex.org/W2759013909","https://openalex.org/W2001481417","https://openalex.org/W2498308226","https://openalex.org/W3128770536","https://openalex.org/W2956473402","https://openalex.org/W2980571559","https://openalex.org/W4386154628","https://openalex.org/W1998486493"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-08-17T00:00:00"}