{"id":"https://openalex.org/W4402320284","doi":"https://doi.org/10.3390/a17090396","title":"AASA: A Priori Adaptive Splitting Algorithm for the Split Delivery Vehicle Routing Problem","display_name":"AASA: A Priori Adaptive Splitting Algorithm for the Split Delivery Vehicle Routing Problem","publication_year":2024,"publication_date":"2024-09-06","ids":{"openalex":"https://openalex.org/W4402320284","doi":"https://doi.org/10.3390/a17090396"},"language":"en","primary_location":{"id":"doi:10.3390/a17090396","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17090396","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/a17090396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087116487","display_name":"Nariman Torkzaban","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nariman Torkzaban","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065557923","display_name":"Anousheh Gholami","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anousheh Gholami","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044395526","display_name":"John S. Baras","orcid":"https://orcid.org/0000-0002-4955-8561"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John S. Baras","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022968381","display_name":"Bruce Golden","orcid":"https://orcid.org/0000-0002-5270-6094"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruce L. Golden","raw_affiliation_strings":["Robert H. Smith School of Business, University of Maryland, College Park 20742, MD, USA"],"affiliations":[{"raw_affiliation_string":"Robert H. Smith School of Business, University of Maryland, College Park 20742, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087116487"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3814,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6369511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"17","issue":"9","first_page":"396","last_page":"396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994000196456909,"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":0.9994000196456909,"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":0.998199999332428,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9955000281333923,"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/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.7052434682846069},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6911197900772095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6352255344390869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5708246231079102},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5340971350669861},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4535925090312958},{"id":"https://openalex.org/keywords/routing-algorithm","display_name":"Routing algorithm","score":0.44546452164649963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23826360702514648},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15264439582824707},{"id":"https://openalex.org/keywords/routing-protocol","display_name":"Routing protocol","score":0.12056714296340942}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.7052434682846069},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6911197900772095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6352255344390869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5708246231079102},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5340971350669861},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4535925090312958},{"id":"https://openalex.org/C2984173633","wikidata":"https://www.wikidata.org/wiki/Q22725","display_name":"Routing algorithm","level":4,"score":0.44546452164649963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23826360702514648},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15264439582824707},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.12056714296340942},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17090396","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17090396","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d455920d052e4ce181a52939267e4101","is_oa":true,"landing_page_url":"https://doaj.org/article/d455920d052e4ce181a52939267e4101","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 9, p 396 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17090396","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17090396","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1590566476","https://openalex.org/W1988345713","https://openalex.org/W1994408526","https://openalex.org/W1994940434","https://openalex.org/W2008889665","https://openalex.org/W2050133090","https://openalex.org/W2074845101","https://openalex.org/W2086593641","https://openalex.org/W2121541283","https://openalex.org/W2123213336","https://openalex.org/W2131338629","https://openalex.org/W2165515547","https://openalex.org/W2309764699","https://openalex.org/W2620314292","https://openalex.org/W2741865369","https://openalex.org/W2782264238","https://openalex.org/W2787811503","https://openalex.org/W2801467144","https://openalex.org/W2939068572","https://openalex.org/W2960360341","https://openalex.org/W3034537548","https://openalex.org/W3036239563","https://openalex.org/W3045470676","https://openalex.org/W3095575172","https://openalex.org/W3125567423","https://openalex.org/W3165929423","https://openalex.org/W3214868035","https://openalex.org/W4205812276","https://openalex.org/W4214573208","https://openalex.org/W4220824750","https://openalex.org/W4388626473","https://openalex.org/W4399513355","https://openalex.org/W6784805314","https://openalex.org/W6789914945","https://openalex.org/W6809297373"],"related_works":["https://openalex.org/W2149224531","https://openalex.org/W4247716783","https://openalex.org/W2160885658","https://openalex.org/W2098791961","https://openalex.org/W2144164383","https://openalex.org/W4230539218","https://openalex.org/W2137646787","https://openalex.org/W2154215043","https://openalex.org/W2003154778","https://openalex.org/W2150731467"],"abstract_inverted_index":{"The":[0,48],"split":[1,113,133],"delivery":[2],"vehicle":[3,14],"routing":[4,15],"problem":[5,16],"(SDVRP)":[6],"is":[7,24,28,132,149,156,173],"a":[8,36,96,111,139,152,166],"relaxed":[9],"variant":[10],"of":[11,42,64,75,107,117,129,179,196,218],"the":[12,19,33,39,43,53,59,65,76,91,104,108,127,130,145,164,171,194,197,200,216,219],"capacitated":[13],"(CVRP)":[17],"where":[18],"restriction":[20],"that":[21,102,190,209],"each":[22],"customer":[23],"visited":[25],"precisely":[26],"once":[27],"removed.":[29],"Compared":[30],"with":[31],"CVRP,":[32],"SDVRP":[34,54,147],"allows":[35],"reduction":[37],"in":[38,72,115,142,170],"total":[40],"cost":[41],"routes":[44],"traveled":[45],"by":[46],"vehicles.":[47],"exact":[49],"methods":[50],"to":[51,89,151,199,215],"solve":[52,90],"are":[55],"computationally":[56],"expensive.":[57],"Moreover,":[58],"complexity":[60],"and":[61,86,121,182,202],"difficult":[62],"implementation":[63],"state-of-the-art":[66],"heuristic":[67],"approaches":[68],"hinder":[69],"their":[70,180,203],"application":[71],"real-life":[73],"scenarios":[74],"SDVRP.":[77],"In":[78,124],"this":[79,125],"paper,":[80],"we":[81,184],"propose":[82],"an":[83,95,159,186],"easily":[84],"understandable":[85],"effective":[87],"approach":[88],"SDVPR":[92],"based":[93],"on":[94,110],"priori":[97,112,167],"adaptive":[98,187],"splitting":[99,140,168,188],"algorithm":[100],"(AASA)":[101],"improves":[103],"existing":[105,160],"state":[106,217],"art":[109],"strategy":[114],"terms":[116],"both":[118],"solution":[119],"accuracy":[120],"time":[122],"complexity.":[123],"approach,":[126],"demand":[128,136,181,204],"customers":[131,177,198],"into":[134,192],"smaller":[135],"values":[137],"using":[138,158],"rule":[141,169,189],"advance.":[143],"Consequently,":[144],"original":[146],"instance":[148,154],"converted":[150],"CVRP":[153,161],"which":[155],"solved":[157],"solver.":[162],"While":[163],"proposed":[165],"literature":[172],"fixed":[174],"for":[175],"all":[176],"regardless":[178],"location,":[183],"suggest":[185],"takes":[191],"account":[193],"distance":[195],"depot":[201],"values.":[205],"Our":[206],"experiments":[207],"show":[208],"AASA":[210],"can":[211],"generate":[212],"solutions":[213],"comparable":[214],"art,":[220],"but":[221],"much":[222],"faster.":[223]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}