{"id":"https://openalex.org/W4401666759","doi":"https://doi.org/10.1007/s40747-024-01600-2","title":"A hybrid neural combinatorial optimization framework assisted by automated algorithm design","display_name":"A hybrid neural combinatorial optimization framework assisted by automated algorithm design","publication_year":2024,"publication_date":"2024-08-17","ids":{"openalex":"https://openalex.org/W4401666759","doi":"https://doi.org/10.1007/s40747-024-01600-2"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-024-01600-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01600-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01600-2.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01600-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115590329","display_name":"Liang Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liang Ma","raw_affiliation_strings":["Northwest University, Xi\u2019an, 710127, China","Northwest University, Xi'an, 710127, China"],"affiliations":[{"raw_affiliation_string":"Northwest University, Xi\u2019an, 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"Northwest University, Xi'an, 710127, China","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072446757","display_name":"Xingxing Hao","orcid":"https://orcid.org/0000-0002-3590-2392"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingxing Hao","raw_affiliation_strings":["Northwest University, Xi\u2019an, 710127, China","Northwest University, Xi'an, 710127, China"],"affiliations":[{"raw_affiliation_string":"Northwest University, Xi\u2019an, 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"Northwest University, Xi'an, 710127, China","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114804421","display_name":"Wei Zhou","orcid":"https://orcid.org/0009-0003-4456-9741"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zhou","raw_affiliation_strings":["Northwest University, Xi\u2019an, 710127, China","Northwest University, Xi'an, 710127, China"],"affiliations":[{"raw_affiliation_string":"Northwest University, Xi\u2019an, 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"Northwest University, Xi'an, 710127, China","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111294074","display_name":"Qianbao He","orcid":null},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianbao He","raw_affiliation_strings":["Northwest University, Xi\u2019an, 710127, China","Northwest University, Xi'an, 710127, China"],"affiliations":[{"raw_affiliation_string":"Northwest University, Xi\u2019an, 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"Northwest University, Xi'an, 710127, China","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108971146","display_name":"Ruibang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruibang Zhang","raw_affiliation_strings":["Northwest University, Xi\u2019an, 710127, China","Northwest University, Xi'an, 710127, China"],"affiliations":[{"raw_affiliation_string":"Northwest University, Xi\u2019an, 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"Northwest University, Xi'an, 710127, China","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100369885","display_name":"Chen Li","orcid":"https://orcid.org/0000-0002-8784-8148"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Chen","raw_affiliation_strings":["Northwest University, Xi\u2019an, 710127, China","Northwest University, Xi'an, 710127, China"],"affiliations":[{"raw_affiliation_string":"Northwest University, Xi\u2019an, 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"Northwest University, Xi'an, 710127, China","institution_ids":["https://openalex.org/I37802460"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5115590329"],"corresponding_institution_ids":["https://openalex.org/I37802460"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":0.6751,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74704325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"10","issue":"6","first_page":"8233","last_page":"8247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9973999857902527,"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/computational-intelligence","display_name":"Computational intelligence","score":0.7542581558227539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5297040939331055},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44944384694099426},{"id":"https://openalex.org/keywords/optimization-algorithm","display_name":"Optimization algorithm","score":0.4423621892929077},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35774391889572144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3509766459465027},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34112367033958435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21242567896842957}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7542581558227539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5297040939331055},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44944384694099426},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.4423621892929077},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35774391889572144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3509766459465027},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34112367033958435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21242567896842957}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-024-01600-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01600-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01600-2.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bec8f8d726b944ed96992d17dfb9ccba","is_oa":true,"landing_page_url":"https://doaj.org/article/bec8f8d726b944ed96992d17dfb9ccba","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":"Complex & Intelligent Systems, Vol 10, Iss 6, Pp 8233-8247 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-024-01600-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01600-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01600-2.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1374128553","display_name":null,"funder_award_id":"2020KW-068","funder_id":"https://openalex.org/F4320336350","funder_display_name":"Key Research and Development Projects of Shaanxi Province"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4100207053","display_name":null,"funder_award_id":"62106199","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8261961379","display_name":null,"funder_award_id":"22JK058","funder_id":"https://openalex.org/F4320325627","funder_display_name":"Education Department of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325627","display_name":"Education Department of Shaanxi Province","ror":null},{"id":"https://openalex.org/F4320336350","display_name":"Key Research and Development Projects of Shaanxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401666759.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W2119717200","https://openalex.org/W2163428398","https://openalex.org/W2509755532","https://openalex.org/W2747329762","https://openalex.org/W2805798351","https://openalex.org/W2963240573","https://openalex.org/W2973824435","https://openalex.org/W3015862467","https://openalex.org/W3109714359","https://openalex.org/W3131491648","https://openalex.org/W3186437454","https://openalex.org/W3196733085","https://openalex.org/W4214479142","https://openalex.org/W4302561932","https://openalex.org/W4304806599","https://openalex.org/W4313254004","https://openalex.org/W4385220833","https://openalex.org/W4386365945","https://openalex.org/W6600390301","https://openalex.org/W6601899773","https://openalex.org/W6603707631","https://openalex.org/W6610928041"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W4366549320","https://openalex.org/W4287863136","https://openalex.org/W3006015132","https://openalex.org/W2965078190","https://openalex.org/W3040644038","https://openalex.org/W4394870774","https://openalex.org/W4311207076","https://openalex.org/W3203633096","https://openalex.org/W2355226480"],"abstract_inverted_index":{"In":[0,178],"recent":[1],"years,":[2],"the":[3,33,40,71,78,88,117,125,134,148,151,155,158,162,167,179,204,223,226,231],"application":[4],"of":[5,30,119,127,225,233],"Neural":[6,35,42],"Combinatorial":[7,12,36,43],"Optimization":[8,13,37,44],"(NCO)":[9],"techniques":[10],"in":[11,65,146,161],"(CO)":[14],"has":[15],"emerged":[16],"as":[17],"a":[18,140],"popular":[19],"and":[20,39,136,154,188,198,211,218],"promising":[21],"research":[22],"direction.":[23],"Currently,":[24],"there":[25],"are":[26],"mainly":[27],"two":[28,144],"types":[29],"NCO,":[31],"namely,":[32],"Constructive":[34],"(CNCO)":[38],"Perturbative":[41],"(PNCO).":[45],"The":[46],"CNCO":[47,135,149],"generally":[48,90],"trains":[49,91],"an":[50],"encoder-decoder":[51],"model":[52,169],"via":[53,95],"supervised":[54],"learning":[55,98],"to":[56,77,100,106,132,170,185,201],"construct":[57],"solutions":[58,114,173],"from":[59,193],"scratch.":[60],"It":[61,110],"exhibits":[62],"high":[63,120],"speed":[64],"construction":[66],"process,":[67],"however,":[68],"it":[69],"lacks":[70],"ability":[72],"for":[73,85,174],"sustained":[74],"optimization":[75],"due":[76],"one-shot":[79],"mapping,":[80],"which":[81,147],"bounds":[82],"its":[83],"potential":[84],"application.":[86],"Instead,":[87],"PNCO":[89,137,156],"neural":[92],"network":[93],"models":[94],"deep":[96],"reinforcement":[97],"(DRL)":[99],"intelligently":[101,186],"select":[102,187],"appropriate":[103,190],"human-designed":[104],"heuristics":[105],"improve":[107],"existing":[108],"solutions.":[109,206],"can":[111],"achieve":[112],"high-quality":[113],"but":[115],"at":[116],"cost":[118],"computational":[121],"demand.":[122],"To":[123],"leverage":[124],"strengths":[126],"both":[128],"approaches,":[129],"we":[130,165,182],"propose":[131],"hybrid":[133,141,228],"by":[138],"designing":[139],"framework":[142,229],"comprising":[143],"stages,":[145],"is":[150,157],"first":[152,163],"stage":[153],"second.":[159],"Specifically,":[160],"stage,":[164,181],"utilize":[166],"attention":[168],"generate":[171],"preliminary":[172],"given":[175],"CO":[176],"instances.":[177],"second":[180],"employ":[183],"DRL":[184],"combine":[189],"algorithmic":[191],"components":[192],"improvement":[194],"pool,":[195,197],"perturbation":[196],"prediction":[199],"pool":[200],"continuously":[202],"optimize":[203],"obtained":[205],"Experimental":[207],"results":[208],"on":[209],"synthetic":[210],"real":[212],"Capacitated":[213],"Vehicle":[214],"Routing":[215],"Problems":[216],"(CVRPs)":[217],"Traveling":[219],"Salesman":[220],"Problems(TSPs)":[221],"demonstrate":[222],"effectiveness":[224],"proposed":[227],"with":[230],"assistance":[232],"automated":[234],"algorithm":[235],"design.":[236]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}
