{"id":"https://openalex.org/W2904037980","doi":"https://doi.org/10.1609/aaai.v33i01.33012322","title":"On the Time Complexity of Algorithm Selection Hyper-Heuristics for Multimodal Optimisation","display_name":"On the Time Complexity of Algorithm Selection Hyper-Heuristics for Multimodal Optimisation","publication_year":2019,"publication_date":"2019-07-17","ids":{"openalex":"https://openalex.org/W2904037980","doi":"https://doi.org/10.1609/aaai.v33i01.33012322","mag":"2904037980"},"language":"en","primary_location":{"id":"doi:10.1609/aaai.v33i01.33012322","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v33i01.33012322","pdf_url":"https://www.aaai.org/ojs/index.php/AAAI/article/download/4071/3949","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aaai.org/ojs/index.php/AAAI/article/download/4071/3949","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060822830","display_name":"Andrei Lissovoi","orcid":null},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrei Lissovoi","raw_affiliation_strings":["The University of Sheffield"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Sheffield","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063001475","display_name":"Pietro S. Oliveto","orcid":"https://orcid.org/0000-0001-8164-6767"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Pietro S. Oliveto","raw_affiliation_strings":["University of Sheffield"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Sheffield","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035806216","display_name":"John Alasdair Warwicker","orcid":"https://orcid.org/0000-0002-6274-2638"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Alasdair Warwicker","raw_affiliation_strings":["The University of Sheffield"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Sheffield","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":52,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"01","first_page":"2322","last_page":"2329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.98580002784729,"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/heuristics","display_name":"Heuristics","score":0.816646933555603},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.799986720085144},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.652780294418335},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6355666518211365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5683701634407043},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.5619739294052124},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5586308240890503},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.4940798580646515},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45453885197639465},{"id":"https://openalex.org/keywords/hyper-heuristic","display_name":"Hyper-heuristic","score":0.42147207260131836},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.41223275661468506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38102230429649353},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33080172538757324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.313571035861969},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.056983739137649536}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.816646933555603},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.799986720085144},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.652780294418335},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6355666518211365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5683701634407043},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.5619739294052124},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5586308240890503},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.4940798580646515},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45453885197639465},{"id":"https://openalex.org/C117270229","wikidata":"https://www.wikidata.org/wiki/Q5957539","display_name":"Hyper-heuristic","level":5,"score":0.42147207260131836},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.41223275661468506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38102230429649353},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33080172538757324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.313571035861969},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.056983739137649536},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C19966478","wikidata":"https://www.wikidata.org/wiki/Q4810574","display_name":"Mobile robot","level":3,"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C188888258","wikidata":"https://www.wikidata.org/wiki/Q7353390","display_name":"Robot learning","level":4,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1609/aaai.v33i01.33012322","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v33i01.33012322","pdf_url":"https://www.aaai.org/ojs/index.php/AAAI/article/download/4071/3949","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:ojs.aaai.org:article/4071","is_oa":true,"landing_page_url":"https://ojs.aaai.org/index.php/AAAI/article/view/4071","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/4071/3949","source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2159-5399","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:eprints.lancs.ac.uk:237835","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/237835/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"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":"Contribution to Conference"}],"best_oa_location":{"id":"doi:10.1609/aaai.v33i01.33012322","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v33i01.33012322","pdf_url":"https://www.aaai.org/ojs/index.php/AAAI/article/download/4071/3949","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7799999713897705}],"awards":[{"id":"https://openalex.org/G8501742012","display_name":null,"funder_award_id":"EP/M004252/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904037980.pdf","grobid_xml":"https://content.openalex.org/works/W2904037980.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1529077223","https://openalex.org/W1540953389","https://openalex.org/W1569002781","https://openalex.org/W1645523878","https://openalex.org/W1794976143","https://openalex.org/W1814515812","https://openalex.org/W1849813686","https://openalex.org/W2005317641","https://openalex.org/W2011559870","https://openalex.org/W2027881843","https://openalex.org/W2035300004","https://openalex.org/W2056760934","https://openalex.org/W2072441740","https://openalex.org/W2082931571","https://openalex.org/W2084149434","https://openalex.org/W2135474087","https://openalex.org/W2140759234","https://openalex.org/W2146239736","https://openalex.org/W2156416674","https://openalex.org/W2156767653","https://openalex.org/W2165220807","https://openalex.org/W2487146608","https://openalex.org/W2510358055","https://openalex.org/W2521372821","https://openalex.org/W2604934189","https://openalex.org/W2725382342","https://openalex.org/W2745272116","https://openalex.org/W2806883562","https://openalex.org/W2810302189","https://openalex.org/W2887325363","https://openalex.org/W2887735318","https://openalex.org/W2950855788","https://openalex.org/W3045282699","https://openalex.org/W4247880210","https://openalex.org/W4249315269","https://openalex.org/W4293406128","https://openalex.org/W6634034875","https://openalex.org/W6638512748","https://openalex.org/W6659038708","https://openalex.org/W6668783100","https://openalex.org/W6684434985","https://openalex.org/W6736066110","https://openalex.org/W6740310651","https://openalex.org/W6751780975"],"related_works":["https://openalex.org/W3177062893","https://openalex.org/W3125143773","https://openalex.org/W803550684","https://openalex.org/W2007032764","https://openalex.org/W2483226803","https://openalex.org/W3143937874","https://openalex.org/W2067280619","https://openalex.org/W4251343851","https://openalex.org/W2149442301","https://openalex.org/W2143239491"],"abstract_inverted_index":{"Selection":[0],"hyper-heuristics":[1],"are":[2,188],"automated":[3],"algorithm":[4],"selection":[5,17],"methodologies":[6],"that":[7,77,95,104],"choose":[8],"between":[9,20,80],"different":[10,30],"heuristics":[11,28,84],"during":[12,85],"the":[13,47,53,65,75,86,91,97,114,138,173,191,197,217,225],"optimisation":[14,69],"process.":[15],"Recently":[16],"hyperheuristics":[18],"choosing":[19],"a":[21,38,72,108,154,160,179],"collection":[22],"of":[23,67,93,163,182,202],"elitist":[24,81,184],"randomised":[25,123],"local":[26,145,171],"search":[27,124],"with":[29,52,199],"neighbourhood":[31],"sizes":[32],"have":[33],"been":[34],"shown":[35],"to":[36,64,99,133,212],"optimise":[37,107],"standard":[39,109,129,204],"unimodal":[40],"benchmark":[41,111,131,205],"function":[42,112,135,155,206],"from":[43,74],"evolutionary":[44],"computation":[45],"in":[46,113],"optimal":[48],"expected":[49,116],"runtime":[50],"achievable":[51,119],"available":[54],"low-level":[55],"heuristics.":[56,125],"In":[57],"this":[58],"paper":[59],"we":[60,127],"extend":[61],"our":[62],"understanding":[63],"domain":[66],"multimodal":[68,130],"by":[70,120,142],"considering":[71],"hyper-heuristic":[73,98,139,174,218],"literature":[76],"can":[78,106,166],"switch":[79],"and":[82,102,147,185],"nonelitist":[83],"run.":[87],"We":[88,195],"first":[89],"identify":[90],"range":[92,181],"parameters":[94],"allow":[96],"hillclimb":[100],"efficiently":[101],"prove":[103],"it":[105,150,222],"hillclimbing":[110],"best":[115],"asymptotic":[117],"time":[118],"unbiased":[121],"mutation-based":[122],"Afterwards,":[126],"use":[128],"functions":[132],"highlight":[134,213],"characteristics":[136,215],"where":[137,149,159,216],"is":[140,151,175,219],"efficient":[141,177],"swiftly":[143],"escaping":[144,170],"optima":[146],"ones":[148],"not.":[152],"For":[153],"class":[156],"called":[157,207],"CLIFFd":[158],"new":[161],"gradient":[162],"increasing":[164],"fitness":[165],"be":[167],"identified":[168],"after":[169],"optima,":[172],"extremely":[176],"while":[178],"wide":[180],"established":[183],"non-elitist":[186,227],"algorithms":[187],"not,":[189],"including":[190],"well-studied":[192],"Metropolis":[193,228],"algorithm.":[194,229],"complete":[196],"picture":[198],"an":[200,210],"analysis":[201],"another":[203],"JUMPd":[208],"as":[209],"example":[211],"problem":[214],"inefficient.":[220],"Yet,":[221],"still":[223],"outperforms":[224],"wellestablished":[226]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}