{"id":"https://openalex.org/W2792961605","doi":"https://doi.org/10.4018/ijaec.2018010101","title":"Efficient Golden-Ball Algorithm Based Clustering to solve the Multi-Depot VRP With Time Windows","display_name":"Efficient Golden-Ball Algorithm Based Clustering to solve the Multi-Depot VRP With Time Windows","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2792961605","doi":"https://doi.org/10.4018/ijaec.2018010101","mag":"2792961605"},"language":"en","primary_location":{"id":"doi:10.4018/ijaec.2018010101","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijaec.2018010101","pdf_url":null,"source":{"id":"https://openalex.org/S144758376","display_name":"International Journal of Applied Evolutionary Computation","issn_l":"1942-3594","issn":["1942-3594","1942-3608"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Evolutionary Computation","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/A5104046405","display_name":"Lahcene Guezouli","orcid":"https://orcid.org/0000-0001-6489-7222"},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Lahcene Guezouli","raw_affiliation_strings":["University of Batna 2, Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Batna 2, Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058508328","display_name":"Mohamed Bensakhria","orcid":"https://orcid.org/0000-0002-4858-9761"},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mohamed Bensakhria","raw_affiliation_strings":["University of Batna 2, Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Batna 2, Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067153471","display_name":"Samir Abdelhamid","orcid":"https://orcid.org/0000-0002-1561-5054"},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Samir Abdelhamid","raw_affiliation_strings":["University of Batna 2, Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Batna 2, Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I162489102"],"apc_list":null,"apc_paid":null,"fwci":0.9732,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80054635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"9","issue":"1","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T12306","display_name":"Urban and Freight Transport Logistics","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.8834177255630493},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6757689714431763},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6375843286514282},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6091763973236084},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5163305997848511},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4926007390022278},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41591161489486694},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38085317611694336},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.30624920129776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22857242822647095},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16377586126327515}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.8834177255630493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6757689714431763},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6375843286514282},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6091763973236084},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5163305997848511},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4926007390022278},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41591161489486694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38085317611694336},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.30624920129776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22857242822647095},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16377586126327515},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4018/ijaec.2018010101","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijaec.2018010101","pdf_url":null,"source":{"id":"https://openalex.org/S144758376","display_name":"International Journal of Applied Evolutionary Computation","issn_l":"1942-3594","issn":["1942-3594","1942-3608"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Evolutionary Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:jaec00:v:9:y:2018:i:1:p:1-16","is_oa":false,"landing_page_url":"http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJAEC.2018010101","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W286561978","https://openalex.org/W1601649239","https://openalex.org/W1970462306","https://openalex.org/W1972740534","https://openalex.org/W1990529622","https://openalex.org/W1994940434","https://openalex.org/W2003628008","https://openalex.org/W2024060531","https://openalex.org/W2031438593","https://openalex.org/W2071235069","https://openalex.org/W2084151425","https://openalex.org/W2086207137","https://openalex.org/W2094045707","https://openalex.org/W2109101401","https://openalex.org/W2111563176","https://openalex.org/W2111581650","https://openalex.org/W2118573797","https://openalex.org/W2140887900","https://openalex.org/W2146870367","https://openalex.org/W2178041607","https://openalex.org/W2238919526","https://openalex.org/W2510183351","https://openalex.org/W2900470723","https://openalex.org/W3023540311","https://openalex.org/W4300106150"],"related_works":["https://openalex.org/W2171107778","https://openalex.org/W2125973584","https://openalex.org/W2313132166","https://openalex.org/W1966891017","https://openalex.org/W2585225562","https://openalex.org/W3183159844","https://openalex.org/W2389208788","https://openalex.org/W2090372490","https://openalex.org/W3183129711","https://openalex.org/W2537549137"],"abstract_inverted_index":{"In":[0],"this":[1,68,92],"article,":[2],"the":[3,14,22,40,61,89,112,120,139,150],"authors":[4,66],"propose":[5],"a":[6,29,52,72,104],"decision":[7],"support":[8],"system":[9],"which":[10,32],"aims":[11],"to":[12,96,119,148],"optimize":[13],"classical":[15],"Capacitated":[16],"Vehicle":[17,42],"Routing":[18,43],"Problem":[19,44],"by":[20,70,102],"considering":[21],"existence":[23],"of":[24,54,63,129],"multiple":[25],"available":[26],"depots":[27],"and":[28,49,101,132,146],"time":[30],"window":[31],"must":[33],"not":[34],"be":[35],"violated,":[36],"that":[37,111,138],"they":[38],"call":[39],"Multi-Depot":[41],"with":[45,50,84],"Time":[46],"Window":[47],"(MDVRPTW),":[48],"respecting":[51],"set":[53],"criteria":[55],"including:":[56],"schedules":[57],"requests":[58],"from":[59,88],"clients,":[60],"capacity":[62],"vehicles.":[64],"The":[65],"solve":[67,97,149],"problem":[69,126],"proposing":[71],"recently":[73],"published":[74],"technique":[75,93],"based":[76],"on":[77],"soccer":[78],"concepts,":[79],"called":[80],"Golden":[81,141],"Ball":[82,142],"(GB),":[83],"different":[85],"solution":[86],"representation":[87],"original":[90],"one,":[91],"was":[94],"designed":[95],"combinatorial":[98],"optimization":[99],"problems,":[100],"embedding":[103],"clustering":[105],"algorithm.":[106],"Computational":[107],"results":[108,123,136],"have":[109],"shown":[110],"approach":[113],"produces":[114],"acceptable":[115],"quality":[116],"solutions":[117,131],"compared":[118],"best":[121],"previous":[122],"in":[124,127],"similar":[125],"terms":[128],"generated":[130],"processing":[133],"time.":[134],"Experimental":[135],"prove":[137],"proposed":[140],"algorithm":[143],"is":[144],"efficient":[145],"effective":[147],"MDVRPTW":[151],"problem.":[152]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T06:19:23.411458","created_date":"2025-10-10T00:00:00"}