{"id":"https://openalex.org/W4387697461","doi":"https://doi.org/10.1109/mci.2023.3304081","title":"RoCaSH2: An Effective Route Clustering and Search Heuristic for Large-Scale Multi-Depot Capacitated Arc Routing Problem","display_name":"RoCaSH2: An Effective Route Clustering and Search Heuristic for Large-Scale Multi-Depot Capacitated Arc Routing Problem","publication_year":2023,"publication_date":"2023-10-17","ids":{"openalex":"https://openalex.org/W4387697461","doi":"https://doi.org/10.1109/mci.2023.3304081"},"language":"en","primary_location":{"id":"doi:10.1109/mci.2023.3304081","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/mci.2023.3304081","pdf_url":null,"source":{"id":"https://openalex.org/S104797584","display_name":"IEEE Computational Intelligence Magazine","issn_l":"1556-603X","issn":["1556-603X","1556-6048"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Computational Intelligence Magazine","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/A5101668019","display_name":"Yuzhou Zhang","orcid":"https://orcid.org/0000-0001-9946-4320"},"institutions":[{"id":"https://openalex.org/I4210128418","display_name":"Nanjing Xiaozhuang University","ror":"https://ror.org/03fnv7n42","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128418"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuzhou Zhang","raw_affiliation_strings":["Nanjing Xiaozhuang University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-9946-4320","affiliations":[{"raw_affiliation_string":"Nanjing Xiaozhuang University, Nanjing, China","institution_ids":["https://openalex.org/I4210128418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073282655","display_name":"Yi Mei","orcid":"https://orcid.org/0000-0003-0682-1363"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Yi Mei","raw_affiliation_strings":["Victorial University of Wellington, Wellington, New Zealand"],"raw_orcid":"https://orcid.org/0000-0003-0682-1363","affiliations":[{"raw_affiliation_string":"Victorial University of Wellington, Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078731823","display_name":"Haiqi Zhang","orcid":"https://orcid.org/0000-0001-5498-9422"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiqi Zhang","raw_affiliation_strings":["Nanjing University of Science and Technology, Nanjing, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Science and Technology, Nanjing, CHINA","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035834394","display_name":"Qinghua Cai","orcid":"https://orcid.org/0000-0002-0224-7256"},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinghua Cai","raw_affiliation_strings":["Anqing Normal University, Anqing, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Anqing Normal University, Anqing, CHINA","institution_ids":["https://openalex.org/I46482218"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044582139","display_name":"Haifeng Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Wu","raw_affiliation_strings":["Anqing Normal University, Anqing, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Anqing Normal University, Anqing, CHINA","institution_ids":["https://openalex.org/I46482218"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101668019"],"corresponding_institution_ids":["https://openalex.org/I4210128418"],"apc_list":null,"apc_paid":null,"fwci":0.1975,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59436317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"18","issue":"4","first_page":"43","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9997000098228455,"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":0.9997000098228455,"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/T12176","display_name":"Optimization and Packing Problems","score":0.998199999332428,"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/T11223","display_name":"Maritime Ports and Logistics","score":0.9977999925613403,"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/arc-routing","display_name":"Arc routing","score":0.8562522530555725},{"id":"https://openalex.org/keywords/divide-and-conquer-algorithms","display_name":"Divide and conquer algorithms","score":0.7242684364318848},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7029804587364197},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6111816167831421},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5603527426719666},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4906729459762573},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.48573237657546997},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4680943787097931},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.44374778866767883},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.41109055280685425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2381983995437622},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23619210720062256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18668511509895325}],"concepts":[{"id":"https://openalex.org/C2778536092","wikidata":"https://www.wikidata.org/wiki/Q4785038","display_name":"Arc routing","level":3,"score":0.8562522530555725},{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.7242684364318848},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7029804587364197},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6111816167831421},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5603527426719666},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4906729459762573},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.48573237657546997},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4680943787097931},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.44374778866767883},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.41109055280685425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2381983995437622},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23619210720062256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18668511509895325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mci.2023.3304081","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/mci.2023.3304081","pdf_url":null,"source":{"id":"https://openalex.org/S104797584","display_name":"IEEE Computational Intelligence Magazine","issn_l":"1556-603X","issn":["1556-603X","1556-6048"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Computational Intelligence Magazine","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2821642222","display_name":null,"funder_award_id":"1808085MF173","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G6395486173","display_name":null,"funder_award_id":"1908085MF195","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W1586256274","https://openalex.org/W1959086744","https://openalex.org/W1963686580","https://openalex.org/W1967687507","https://openalex.org/W1967981290","https://openalex.org/W1972572968","https://openalex.org/W1975793199","https://openalex.org/W1979112437","https://openalex.org/W1981141219","https://openalex.org/W1991770896","https://openalex.org/W1993413197","https://openalex.org/W1996673440","https://openalex.org/W1996936486","https://openalex.org/W2013497292","https://openalex.org/W2018236017","https://openalex.org/W2020067774","https://openalex.org/W2021117098","https://openalex.org/W2039011874","https://openalex.org/W2039621427","https://openalex.org/W2050708578","https://openalex.org/W2060846245","https://openalex.org/W2061212893","https://openalex.org/W2066210488","https://openalex.org/W2068774005","https://openalex.org/W2070926233","https://openalex.org/W2075691918","https://openalex.org/W2077930570","https://openalex.org/W2081814459","https://openalex.org/W2081815260","https://openalex.org/W2082593294","https://openalex.org/W2082809580","https://openalex.org/W2088003110","https://openalex.org/W2097154431","https://openalex.org/W2097641170","https://openalex.org/W2101314043","https://openalex.org/W2110371102","https://openalex.org/W2116872250","https://openalex.org/W2121429049","https://openalex.org/W2143344695","https://openalex.org/W2145978555","https://openalex.org/W2155005783","https://openalex.org/W2155262811","https://openalex.org/W2155597893","https://openalex.org/W2156566884","https://openalex.org/W2157769765","https://openalex.org/W2158505966","https://openalex.org/W2162168857","https://openalex.org/W2169528473","https://openalex.org/W2327274813","https://openalex.org/W2346512913","https://openalex.org/W2490561050","https://openalex.org/W2492074459","https://openalex.org/W2499336943","https://openalex.org/W2514388731","https://openalex.org/W2528574535","https://openalex.org/W2569145389","https://openalex.org/W2590493101","https://openalex.org/W2608705546","https://openalex.org/W2616101379","https://openalex.org/W2769744156","https://openalex.org/W2791735754","https://openalex.org/W2903604785","https://openalex.org/W2907928238","https://openalex.org/W2989857233","https://openalex.org/W2998698683","https://openalex.org/W3126703815","https://openalex.org/W3139002956","https://openalex.org/W4236483317","https://openalex.org/W6704875050"],"related_works":["https://openalex.org/W4247094814","https://openalex.org/W1822681810","https://openalex.org/W2059958986","https://openalex.org/W2737096452","https://openalex.org/W2473635752","https://openalex.org/W2355014420","https://openalex.org/W1563136009","https://openalex.org/W2352794675","https://openalex.org/W2998698683","https://openalex.org/W2101261067"],"abstract_inverted_index":{"The":[0,162],"Multi-Depot":[1],"Capacitated":[2],"Arc":[3],"Routing":[4],"Problem":[5],"(MDCARP)":[6],"is":[7,36,43,85],"an":[8],"important":[9],"combinatorial":[10],"optimization":[11,122,150],"problem":[12,30,75,104],"with":[13,169],"wide":[14,175],"applications":[15],"in":[16,24,40,68],"logistics.":[17],"Large":[18],"Scale":[19],"MDCARP":[20],"(LSMDCARP)":[21],"often":[22],"occurs":[23],"the":[25,29,50,58,61,74,99,125,132,148,156,170,181,192],"real":[26],"world,":[27],"as":[28],"size":[31],"(e.g.,":[32],"number":[33],"of":[34,102,177],"edges/tasks)":[35],"usually":[37],"very":[38],"large":[39,51],"practice.":[41],"It":[42],"challenging":[44,86],"to":[45,49,79,87],"solve":[46],"LSMDCARP":[47,178],"due":[48],"search":[52],"space":[53],"and":[54,60,97,152,180],"complex":[55],"interactions":[56],"among":[57,143],"depots":[59],"tasks.":[62],"Divide-and-conquer":[63],"strategies":[64],"have":[65],"shown":[66],"success":[67],"solving":[69,114],"large-scale":[70],"problems":[71],"by":[72],"decomposing":[73],"into":[76,155],"smaller":[77],"sub-problems":[78],"be":[80],"solved":[81],"separately.":[82],"However,":[83],"it":[84,154],"find":[88],"accurate":[89],"decomposition":[90,128],"for":[91,113,147,160],"LSMDCARP.":[92,161],"To":[93],"address":[94],"this":[95,106,136],"issue":[96],"alleviate":[98],"negative":[100],"effect":[101],"inaccurate":[103],"decomposition,":[105],"article":[107,137],"proposes":[108],"a":[109,118,139,174,196],"new":[110,119,133],"divide-and-conquer":[111,134],"strategy":[112],"LSMDCARP,":[115],"which":[116],"introduces":[117],"restricted":[120],"global":[121,149],"stage":[123,151],"within":[124,195],"typical":[126],"dynamic":[127],"procedure.":[129],"Based":[130],"on":[131,173],"strategy,":[135],"develops":[138],"problem-specific":[140],"Task":[141],"Moving":[142],"Sub-problems":[144],"(TMaS)":[145],"process":[146],"incorporates":[153],"state-of-the-art":[157,171,193],"RoCaSH":[158],"algorithm":[159],"resultant":[163],"algorithm,":[164],"namely,":[165],"RoCaSH2,":[166],"was":[167],"compared":[168],"algorithms":[172,194],"range":[176],"instances,":[179],"results":[182,190],"showed":[183],"that":[184],"RoCaSH2":[185],"can":[186],"achieve":[187],"significantly":[188],"better":[189],"than":[191],"much":[197],"shorter":[198],"time.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}