{"id":"https://openalex.org/W4285588105","doi":"https://doi.org/10.1007/s12293-022-00371-y","title":"A mathematical analysis of EDAs with distance-based exponential models","display_name":"A mathematical analysis of EDAs with distance-based exponential models","publication_year":2022,"publication_date":"2022-07-16","ids":{"openalex":"https://openalex.org/W4285588105","doi":"https://doi.org/10.1007/s12293-022-00371-y"},"language":"en","primary_location":{"id":"doi:10.1007/s12293-022-00371-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12293-022-00371-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12293-022-00371-y.pdf","source":{"id":"https://openalex.org/S125629831","display_name":"Memetic Computing","issn_l":"1865-9284","issn":["1865-9284","1865-9292"],"is_oa":false,"is_in_doaj":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memetic Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12293-022-00371-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036957630","display_name":"Imanol Unanue","orcid":null},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Imanol Unanue","raw_affiliation_strings":["Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Donostia, Spain","Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Manuel Lardizabal Ibilbidea 1, 20018, Donostia, Gipuzkoa, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Donostia, Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Manuel Lardizabal Ibilbidea 1, 20018, Donostia, Gipuzkoa, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085317772","display_name":"Mar\u00eda Merino","orcid":"https://orcid.org/0000-0002-4947-2784"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Mar\u00eda Merino","raw_affiliation_strings":["Basque Center for Applied Mathematics (BCAM), Alameda Mazarredo 14, 48009, Bilbo, Bizkaia, Spain","Basque Center for Applied Mathematics (BCAM), Bilbo, Spain","Department of Mathematics, University of the Basque Country UPV/EHU, Barrio Sarriena, s/n, 48940, Leioa, Bizkaia, Spain","Department of Mathematics, University of the Basque Country UPV/EHU, Leioa, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basque Center for Applied Mathematics (BCAM), Alameda Mazarredo 14, 48009, Bilbo, Bizkaia, Spain","institution_ids":["https://openalex.org/I2802176441"]},{"raw_affiliation_string":"Basque Center for Applied Mathematics (BCAM), Bilbo, Spain","institution_ids":["https://openalex.org/I2802176441"]},{"raw_affiliation_string":"Department of Mathematics, University of the Basque Country UPV/EHU, Barrio Sarriena, s/n, 48940, Leioa, Bizkaia, Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Department of Mathematics, University of the Basque Country UPV/EHU, Leioa, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050500830","display_name":"Jos\u00e9 A. Lozano","orcid":"https://orcid.org/0000-0002-4683-8111"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose A. Lozano","raw_affiliation_strings":["Basque Center for Applied Mathematics (BCAM), Alameda Mazarredo 14, 48009, Bilbo, Bizkaia, Spain","Basque Center for Applied Mathematics (BCAM), Bilbo, Spain","Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Donostia, Spain","Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Manuel Lardizabal Ibilbidea 1, 20018, Donostia, Gipuzkoa, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basque Center for Applied Mathematics (BCAM), Alameda Mazarredo 14, 48009, Bilbo, Bizkaia, Spain","institution_ids":["https://openalex.org/I2802176441"]},{"raw_affiliation_string":"Basque Center for Applied Mathematics (BCAM), Bilbo, Spain","institution_ids":["https://openalex.org/I2802176441"]},{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Donostia, Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of the Basque Country UPV/EHU, Manuel Lardizabal Ibilbidea 1, 20018, Donostia, Gipuzkoa, Spain","institution_ids":["https://openalex.org/I169108374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036957630","https://openalex.org/A5050500830","https://openalex.org/A5085317772"],"corresponding_institution_ids":["https://openalex.org/I169108374","https://openalex.org/I2802176441"],"apc_list":{"value":2690,"currency":"EUR","value_usd":3490},"apc_paid":{"value":2690,"currency":"EUR","value_usd":3490},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07415054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"305","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9983000159263611,"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":0.9983000159263611,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9800000190734863,"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":0.9786999821662903,"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/estimation-of-distribution-algorithm","display_name":"Estimation of distribution algorithm","score":0.7280611395835876},{"id":"https://openalex.org/keywords/edas","display_name":"EDAS","score":0.6362264156341553},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6221789121627808},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5473804473876953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5227687358856201},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5193896889686584},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.5129184722900391},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4902530312538147},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44751572608947754},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42845290899276733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4256707429885864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42507049441337585},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.41003239154815674},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11616960167884827}],"concepts":[{"id":"https://openalex.org/C162500139","wikidata":"https://www.wikidata.org/wiki/Q2835887","display_name":"Estimation of distribution algorithm","level":2,"score":0.7280611395835876},{"id":"https://openalex.org/C49284225","wikidata":"https://www.wikidata.org/wiki/Q5322829","display_name":"EDAS","level":3,"score":0.6362264156341553},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6221789121627808},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5473804473876953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5227687358856201},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5193896889686584},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.5129184722900391},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4902530312538147},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44751572608947754},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42845290899276733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4256707429885864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42507049441337585},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.41003239154815674},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11616960167884827},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s12293-022-00371-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12293-022-00371-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12293-022-00371-y.pdf","source":{"id":"https://openalex.org/S125629831","display_name":"Memetic Computing","issn_l":"1865-9284","issn":["1865-9284","1865-9292"],"is_oa":false,"is_in_doaj":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memetic Computing","raw_type":"journal-article"},{"id":"pmh:oai:addi.ehu.eus:10810/57921","is_oa":true,"landing_page_url":"http://hdl.handle.net/10810/57921","pdf_url":null,"source":{"id":"https://openalex.org/S4306401964","display_name":"Communities in ADDI (University of the Basque Country)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169108374","host_organization_name":"University of the Basque Country","host_organization_lineage":["https://openalex.org/I169108374"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:bird.bcamath.org:20.500.11824/1520","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/1520","pdf_url":null,"source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s12293-022-00371-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12293-022-00371-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12293-022-00371-y.pdf","source":{"id":"https://openalex.org/S125629831","display_name":"Memetic Computing","issn_l":"1865-9284","issn":["1865-9284","1865-9292"],"is_oa":false,"is_in_doaj":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memetic Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1643949827","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1997561593","display_name":null,"funder_award_id":"GIU20/054","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G2026970443","display_name":null,"funder_award_id":"SEV-2017-0718","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2309174360","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3040375875","display_name":null,"funder_award_id":"PID2019-104933GB-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3581833050","display_name":null,"funder_award_id":"PID2019-106453GA-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3690828678","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4017095837","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4124501105","display_name":null,"funder_award_id":"PID2019-104966GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4125867446","display_name":null,"funder_award_id":"BCAM Severo Ochoa accreditation SEV-2017-0718","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4467847851","display_name":null,"funder_award_id":"PRE_2021_2_0224","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G4488079590","display_name":null,"funder_award_id":"BERC 2022-2025","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G4580899898","display_name":null,"funder_award_id":"BCAM Severo Ochoa accreditation SEV-2017-0718","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G51203471","display_name":null,"funder_award_id":"SEV-2017-0718","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5246401696","display_name":null,"funder_award_id":"IT1504-22","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G5306092458","display_name":null,"funder_award_id":"GIU20/054","funder_id":"https://openalex.org/F4320321919","funder_display_name":"Euskal Herriko Unibertsitatea"},{"id":"https://openalex.org/G5394439737","display_name":null,"funder_award_id":"PID2019-106453GA-I00","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G5421974903","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5550858994","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5823831608","display_name":null,"funder_award_id":"PID2019-106453GA-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5871388","display_name":null,"funder_award_id":"PID2019-104966GB-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G627420242","display_name":null,"funder_award_id":"IT-1252-19","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G6366842693","display_name":null,"funder_award_id":"I00/AEI/10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G686263596","display_name":null,"funder_award_id":"SEV-2017-0718","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G6890715126","display_name":null,"funder_award_id":"PID2019-104966GB-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7195141607","display_name":null,"funder_award_id":"IT1494-22","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7436716198","display_name":null,"funder_award_id":"BERC 2022-2025","funder_id":"https://openalex.org/F4320328444","funder_display_name":"Basque Center for Applied Mathematics"},{"id":"https://openalex.org/G7535663061","display_name":null,"funder_award_id":"AEI/10.","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7643708868","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G785050907","display_name":null,"funder_award_id":"SEV-2017-0718","funder_id":"https://openalex.org/F4320328444","funder_display_name":"Basque Center for Applied Mathematics"},{"id":"https://openalex.org/G8055432103","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8130184278","display_name":null,"funder_award_id":"I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8684520763","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8853601691","display_name":null,"funder_award_id":"/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8939903727","display_name":null,"funder_award_id":"2022-2025","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G921465545","display_name":null,"funder_award_id":"PID2019-104933GB-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320321919","display_name":"Euskal Herriko Unibertsitatea","ror":"https://ror.org/000xsnr85"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328444","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285588105.pdf","grobid_xml":"https://content.openalex.org/works/W4285588105.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W20183590","https://openalex.org/W76645758","https://openalex.org/W101333827","https://openalex.org/W577570849","https://openalex.org/W1564947197","https://openalex.org/W1692958259","https://openalex.org/W1971005895","https://openalex.org/W1973770389","https://openalex.org/W2013372570","https://openalex.org/W2020562139","https://openalex.org/W2020936588","https://openalex.org/W2035885798","https://openalex.org/W2071698610","https://openalex.org/W2071806120","https://openalex.org/W2086371768","https://openalex.org/W2111471293","https://openalex.org/W2148379945","https://openalex.org/W2152631195","https://openalex.org/W2172081677","https://openalex.org/W2414365832","https://openalex.org/W2495505314","https://openalex.org/W2913960250","https://openalex.org/W2956514724","https://openalex.org/W3194858733","https://openalex.org/W4239181501","https://openalex.org/W4254749579","https://openalex.org/W4285776487","https://openalex.org/W4312782672"],"related_works":["https://openalex.org/W1544849317","https://openalex.org/W2547072840","https://openalex.org/W2096498780","https://openalex.org/W2042211031","https://openalex.org/W2064682937","https://openalex.org/W2090782343","https://openalex.org/W4366835398","https://openalex.org/W4231702299","https://openalex.org/W2010684217","https://openalex.org/W2956514724"],"abstract_inverted_index":{"Abstract":[0],"Estimation":[1,62,99],"of":[2,34,45,54,61,63,94,98,100,112,126,147],"Distribution":[3,64,101],"Algorithms":[4,65,102],"have":[5],"been":[6,73,80,172],"successfully":[7],"used":[8],"to":[9,117,122,159,161],"solve":[10],"permutation-based":[11,67],"Combinatorial":[12,68],"Optimization":[13,69],"Problems.":[14],"In":[15,52],"this":[16,46,85,87],"case,":[17],"the":[18,49,58,95,110,113,144,148,152,157,176],"algorithms":[19],"use":[20],"probabilistic":[21],"models":[22,37],"specifically":[23],"designed":[24],"for":[25,66,81],"codifying":[26],"probability":[27,36,135],"distributions":[28,136,163],"over":[29],"permutation":[30],"spaces.":[31],"One":[32],"class":[33,47],"these":[35],"are":[38,137],"distance-based":[39],"exponential":[40],"models,":[41],"and":[42,133,155],"one":[43],"example":[44],"is":[48],"Mallows":[50,105],"model.":[51],"spite":[53],"its":[55],"practical":[56],"success,":[57],"theoretical":[59],"analysis":[60,93],"Problems":[70],"has":[71,79,170],"not":[72,171],"developed":[74],"as":[75,77],"extensively":[76],"it":[78],"binary":[82],"problems.":[83],"With":[84],"motivation,":[86],"paper":[88],"presents":[89],"a":[90,119],"first":[91],"mathematical":[92],"convergence":[96],"behavior":[97],"based":[103],"on":[104,151],"models.":[106],"The":[107,139],"model":[108],"removes":[109],"randomness":[111],"algorithm":[114],"in":[115,165,175],"order":[116],"associate":[118],"dynamical":[120],"system":[121],"it.":[123],"Several":[124],"scenarios":[125],"increasing":[127],"complexity":[128],"with":[129],"different":[130],"fitness":[131],"functions":[132],"initial":[134,153],"analyzed.":[138],"obtained":[140],"results":[141,150],"show:":[142],"a)":[143],"strong":[145],"dependence":[146],"final":[149],"population,":[154],"b)":[156],"possibility":[158],"converge":[160],"non-degenerate":[162],"even":[164],"very":[166],"simple":[167],"scenarios,":[168],"which":[169],"reported":[173],"before":[174],"literature.":[177]},"counts_by_year":[],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}