{"id":"https://openalex.org/W3148816453","doi":"https://doi.org/10.1080/00207543.2021.1887534","title":"Multi-objective robust optimisation model for MDVRPLS in refined oil distribution","display_name":"Multi-objective robust optimisation model for MDVRPLS in refined oil distribution","publication_year":2021,"publication_date":"2021-03-30","ids":{"openalex":"https://openalex.org/W3148816453","doi":"https://doi.org/10.1080/00207543.2021.1887534","mag":"3148816453"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2021.1887534","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2021.1887534","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"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":"International Journal of Production Research","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/A5046273440","display_name":"Xiaofeng Xu","orcid":"https://orcid.org/0000-0001-5619-2126"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofeng Xu","raw_affiliation_strings":["School of Economics and Management, China University of Petroleum, Qingdao, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, China University of Petroleum, Qingdao, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032761054","display_name":"Ziru Lin","orcid":"https://orcid.org/0000-0002-1535-5299"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziru Lin","raw_affiliation_strings":["School of Economics and Management, China University of Petroleum, Qingdao, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, China University of Petroleum, Qingdao, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015227261","display_name":"Xiang Li","orcid":"https://orcid.org/0000-0002-2694-1250"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiang Li","raw_affiliation_strings":["School of Economics and Management, Beijing University of Chemical Technology, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing University of Chemical Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I75390827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039652471","display_name":"Changjing Shang","orcid":"https://orcid.org/0000-0001-6375-6276"},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Changjing Shang","raw_affiliation_strings":["Department of Computer Science, Faculty of Business and Physical Sciences, Aberystwyth University, Aberystwyth, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Faculty of Business and Physical Sciences, Aberystwyth University, Aberystwyth, UK","institution_ids":["https://openalex.org/I16038530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036010787","display_name":"Qiang Shen","orcid":"https://orcid.org/0000-0001-9333-4605"},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Qiang Shen","raw_affiliation_strings":["Department of Computer Science, Faculty of Business and Physical Sciences, Aberystwyth University, Aberystwyth, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Faculty of Business and Physical Sciences, Aberystwyth University, Aberystwyth, UK","institution_ids":["https://openalex.org/I16038530"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5015227261"],"corresponding_institution_ids":["https://openalex.org/I75390827"],"apc_list":null,"apc_paid":null,"fwci":20.2427,"has_fulltext":false,"cited_by_count":192,"citation_normalized_percentile":{"value":0.99757244,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"60","issue":"22","first_page":"6772","last_page":"6792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration","score":0.9886000156402588,"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/T11053","display_name":"Process Optimization and Integration","score":0.9886000156402588,"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/T13065","display_name":"Mining Techniques and Economics","score":0.9807999730110168,"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/T11357","display_name":"Risk and Safety Analysis","score":0.9706000089645386,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/distribution","display_name":"Distribution (mathematics)","score":0.4336240291595459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4063829183578491},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39972057938575745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30953913927078247}],"concepts":[{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4336240291595459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4063829183578491},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39972057938575745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30953913927078247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207543.2021.1887534","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2021.1887534","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"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":"International Journal of Production Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tprsxx:v:60:y:2022:i:22:p:6772-6792","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2021.1887534","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:aber.ac.uk:publications/7c687b6e-9ddb-452d-b060-c2ff06e6b513","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85103368494&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306401660","display_name":"Aberystwyth Research portal (Aberystwyth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16038530","host_organization_name":"Aberystwyth University","host_organization_lineage":["https://openalex.org/I16038530"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1150650992","display_name":null,"funder_award_id":"71931001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1971208605","display_name":null,"funder_award_id":"71722007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5264098425","display_name":null,"funder_award_id":"71871222","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W285012270","https://openalex.org/W1607104331","https://openalex.org/W1979837576","https://openalex.org/W1982515998","https://openalex.org/W1990807257","https://openalex.org/W1998661756","https://openalex.org/W1998963937","https://openalex.org/W2001578898","https://openalex.org/W2006982701","https://openalex.org/W2009330794","https://openalex.org/W2027305712","https://openalex.org/W2039082933","https://openalex.org/W2039108238","https://openalex.org/W2045103023","https://openalex.org/W2045149654","https://openalex.org/W2069988159","https://openalex.org/W2075156656","https://openalex.org/W2084307025","https://openalex.org/W2085830763","https://openalex.org/W2090567473","https://openalex.org/W2091422786","https://openalex.org/W2092003490","https://openalex.org/W2094599704","https://openalex.org/W2105036855","https://openalex.org/W2105691885","https://openalex.org/W2107136419","https://openalex.org/W2118578357","https://openalex.org/W2120212113","https://openalex.org/W2123808725","https://openalex.org/W2126043710","https://openalex.org/W2127331687","https://openalex.org/W2136197391","https://openalex.org/W2144766971","https://openalex.org/W2167685483","https://openalex.org/W2169523248","https://openalex.org/W2293830711","https://openalex.org/W2296012135","https://openalex.org/W2492270612","https://openalex.org/W2511433538","https://openalex.org/W2517489490","https://openalex.org/W2567006607","https://openalex.org/W2601733549","https://openalex.org/W2620885248","https://openalex.org/W2797737158","https://openalex.org/W2811335666","https://openalex.org/W2899318436","https://openalex.org/W2915222633","https://openalex.org/W2917461433","https://openalex.org/W2919471218","https://openalex.org/W2975218764","https://openalex.org/W2994520525","https://openalex.org/W2998193823","https://openalex.org/W3000284535","https://openalex.org/W3005413231","https://openalex.org/W3021736155","https://openalex.org/W3082167939","https://openalex.org/W3102875727","https://openalex.org/W3151157462","https://openalex.org/W3159896318"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"At":[0],"depots":[1],"with":[2,11,37,69],"refined":[3,33,184],"oil":[4,34,51,185],"shortage,":[5],"arranging":[6],"a":[7,40,63,84,99],"reasonable":[8],"distribution":[9,35,207],"scheme":[10],"limited":[12,70],"supply":[13,71,186],"affects":[14],"operation":[15,118],"costs,":[16,119],"demand":[17,149],"satisfaction":[18,133],"rate":[19],"of":[20,47,50,62,83,98,106,183,208],"gasoline":[21],"stations":[22],"(hereafter,":[23],"\u2018station":[24],"satisfaction\u2019),":[25],"and":[26,56,77,94,122,128,139,162,166,195],"overtime":[27,123,140],"penalty.":[28],"This":[29],"study":[30],"considers":[31,74],"the":[32,45,96,112,152,168,189,193,197],"problem":[36],"shortages":[38],"using":[39],"multi-objective":[41,100],"optimisation":[42,86,103],"approach":[43],"from":[44],"perspective":[46],"decision":[48],"makers":[49],"marketing":[52],"companies.":[53],"The":[54],"modelling":[55],"solving":[57],"process":[58],"involves":[59],"(i)":[60,111],"formulation":[61],"crisp":[64,113,153],"multi-depot":[65],"vehicle":[66],"routing":[67],"model":[68,87,114],"(MDVRPLS)":[72],"which":[73,125,155],"station":[75,120,132],"priority":[76],"soft":[78],"time":[79],"windows,":[80],"(ii)":[81,143],"development":[82],"robust":[85],"(ROM)":[88],"to":[89,151,188],"manage":[90],"uncertainty":[91,147],"in":[92,131,148,160,164],"demand,":[93],"(iii)":[95,167],"proposal":[97],"particle":[101],"swarm":[102],"(MOPSO)algorithm.":[104],"Results":[105],"numerical":[107],"experiments":[108],"show":[109],"that":[110],"can":[115],"better":[116],"balance":[117],"satisfaction,":[121],"penalty,":[124],"produces":[126],"3.33%":[127],"4.60%":[129],"increase":[130],"at":[134],"an":[135,157],"increased":[136],"unit":[137],"cost":[138,161],"penalty":[141],"respectively;":[142],"ROM":[144,182],"successfully":[145],"addresses":[146],"compared":[150],"model,":[154],"requires":[156],"additional":[158],"8.81%":[159],"12.85%":[163],"penalty;":[165],"MOPSO":[169],"manages":[170],"these":[171],"MDVRPLS":[172],"models":[173],"more":[174],"effectively":[175],"than":[176],"other":[177],"heuristic":[178],"algorithms.":[179],"Therefore,":[180],"applying":[181],"shortage":[187],"management":[190],"significantly":[191],"improves":[192],"efficiency":[194],"resists":[196],"disturbance":[198],"caused":[199],"by":[200],"external":[201],"uncertainties,":[202],"providing":[203],"scope":[204],"for":[205],"efficient":[206],"scarce":[209],"resources.":[210]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":41},{"year":2024,"cited_by_count":48},{"year":2023,"cited_by_count":66},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":8}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
