{"id":"https://openalex.org/W2129710305","doi":"https://doi.org/10.1109/cec.2007.4424570","title":"SAT-decoding in evolutionary algorithms for discrete constrained optimization problems","display_name":"SAT-decoding in evolutionary algorithms for discrete constrained optimization problems","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2129710305","doi":"https://doi.org/10.1109/cec.2007.4424570","mag":"2129710305"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2007.4424570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-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/A5043887536","display_name":"Martin Lukasiewycz","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Lukasiewycz","raw_affiliation_strings":["Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","Univ. of Erlangen-Nuremberg, Nuremberg"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Univ. of Erlangen-Nuremberg, Nuremberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079135719","display_name":"Michael Gla\u00df","orcid":"https://orcid.org/0000-0002-8006-8843"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Glass","raw_affiliation_strings":["Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","Univ. of Erlangen-Nuremberg, Nuremberg"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Univ. of Erlangen-Nuremberg, Nuremberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063619304","display_name":"Christian Haubelt","orcid":"https://orcid.org/0000-0002-1568-5423"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Haubelt","raw_affiliation_strings":["Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","Univ. of Erlangen-Nuremberg, Nuremberg"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Univ. of Erlangen-Nuremberg, Nuremberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076672029","display_name":"J\u00fcrgen Teich","orcid":"https://orcid.org/0000-0001-6285-5862"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jurgen Teich","raw_affiliation_strings":["Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","Univ. of Erlangen-Nuremberg, Nuremberg"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science 12, Hardware-Software-Co-Design, University of Erlangen Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Univ. of Erlangen-Nuremberg, Nuremberg","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5043887536"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":4.0074,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.93908374,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2","issue":null,"first_page":"935","last_page":"942"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9976999759674072,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9889000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.7597978115081787},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6713021993637085},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6105902194976807},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5617370009422302},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5496408343315125},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5127459764480591},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.499936580657959},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4872373640537262},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4339566230773926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3107795715332031}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7597978115081787},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6713021993637085},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6105902194976807},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5617370009422302},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5496408343315125},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5127459764480591},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.499936580657959},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4872373640537262},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4339566230773926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3107795715332031},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2007.4424570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W145413376","https://openalex.org/W225560312","https://openalex.org/W1518705996","https://openalex.org/W1580280172","https://openalex.org/W1585939719","https://openalex.org/W1592224347","https://openalex.org/W1975442866","https://openalex.org/W2023923770","https://openalex.org/W2036265926","https://openalex.org/W2048051309","https://openalex.org/W2057361103","https://openalex.org/W2095821893","https://openalex.org/W2096307462","https://openalex.org/W2098907614","https://openalex.org/W2103910413","https://openalex.org/W2111307259","https://openalex.org/W2116758077","https://openalex.org/W2118618012","https://openalex.org/W2122834595","https://openalex.org/W2125024536","https://openalex.org/W2125047455","https://openalex.org/W2142785340","https://openalex.org/W2143775744","https://openalex.org/W2147442986","https://openalex.org/W2164655924","https://openalex.org/W2165858176","https://openalex.org/W2169339924","https://openalex.org/W2401610261","https://openalex.org/W4229840182","https://openalex.org/W4247862354","https://openalex.org/W4251625379","https://openalex.org/W6608886761","https://openalex.org/W6635097213","https://openalex.org/W6674427772"],"related_works":["https://openalex.org/W4286471047","https://openalex.org/W2889903138","https://openalex.org/W2159265808","https://openalex.org/W2787628741","https://openalex.org/W72383790","https://openalex.org/W4293179600","https://openalex.org/W1514095116","https://openalex.org/W2914874978","https://openalex.org/W1523366821","https://openalex.org/W2114766961"],"abstract_inverted_index":{"For":[0],"complex":[1],"optimization":[2,54,91],"problems,":[3],"several":[4,35],"population-based":[5],"heuristics":[6,55],"like":[7,163],"Multi-Objective":[8],"Evolutionary":[9,139],"Algorithms":[10],"have":[11,98],"been":[12],"developed.":[13],"These":[14],"algorithms":[15],"are":[16,32,169,174,197],"aiming":[17],"to":[18,43,80,99,146,176,193,199],"deliver":[19],"sufficiently":[20],"good":[21],"solutions":[22,66,83,149],"in":[23,88,130,137],"an":[24,185],"acceptable":[25],"time.":[26],"However,":[27],"for":[28],"discrete":[29,86],"problems":[30,87,159],"that":[31],"restricted":[33],"by":[34,114],"constraints":[36,97],"it":[37],"is":[38,112,119,128,135,144,191],"mostly":[39],"a":[40,46,77,109],"hard":[41,157],"problem":[42],"even":[44],"find":[45],"single":[47],"feasible":[48,65,82,110,148,201],"solution.":[49],"In":[50,72],"these":[51],"cases,":[52],"the":[53,70,96,103,115,120,151,181,188],"typically":[56],"perform":[57],"poorly":[58],"as":[59],"they":[60],"mainly":[61],"focus":[62],"on":[63,155],"searching":[64],"rather":[67],"than":[68],"optimizing":[69],"objectives.":[71],"this":[73,94,133],"paper,":[74],"we":[75],"propose":[76],"novel":[78],"methodology":[79,134,190],"obtain":[81,147,200],"from":[84,150],"constrained":[85],"population-":[89],"based":[90],"heuristics.":[92],"At":[93],"juncture,":[95],"be":[100],"converted":[101],"into":[102],"Prepositional":[104],"Satisfiability":[105],"Problem":[106],"(SAT).":[107],"Obtaining":[108],"solution":[111],"done":[113],"DPLL":[116],"algorithm":[117],"which":[118,196],"core":[121],"of":[122,180],"most":[123],"modern":[124],"SAT":[125,142,182],"solvers.":[126],"It":[127],"shown":[129],"detail":[131],"how":[132],"implemented":[136],"Multi-objective":[138],"Algorithms.":[140],"The":[141],"solver":[143],"used":[145,175,198],"genetic":[152],"encoded":[153],"information":[154],"arbitrarily":[156],"solvable":[158],"where":[160],"common":[161,194],"methods":[162],"penalty":[164],"functions":[165],"or":[166],"repair":[167],"strategies":[168,195],"failing.":[170],"Handmade":[171],"test":[172],"cases":[173],"compare":[177],"various":[178],"configurations":[179],"solver.":[183],"On":[184],"industrial":[186],"example,":[187],"proposed":[189],"compared":[192],"solutions.":[202]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}