{"id":"https://openalex.org/W2047437401","doi":"https://doi.org/10.1145/1276958.1277120","title":"Uniform sampling of local pareto-optimal solution curves by pareto path following and its applications in multi-objective GA","display_name":"Uniform sampling of local pareto-optimal solution curves by pareto path following and its applications in multi-objective GA","publication_year":2007,"publication_date":"2007-07-07","ids":{"openalex":"https://openalex.org/W2047437401","doi":"https://doi.org/10.1145/1276958.1277120","mag":"2047437401"},"language":"en","primary_location":{"id":"doi:10.1145/1276958.1277120","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276958.1277120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 9th annual conference on Genetic and evolutionary computation","raw_type":"proceedings-article"},"type":"conference-paper","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/A5103633683","display_name":"Ken Harada","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ken Harada","raw_affiliation_strings":["Tokyo Institute of Technology, Kanagawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Kanagawa, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022139141","display_name":"Jun Sakuma","orcid":"https://orcid.org/0000-0001-5015-3812"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jun Sakuma","raw_affiliation_strings":["Tokyo Institute of Technology, Kanagawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Kanagawa, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100877933","display_name":"Shigenobu Kobayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shigenobu Kobayashi","raw_affiliation_strings":["Tokyo Institute of Technology, Kanagawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Kanagawa, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085725359","display_name":"Isao Ono","orcid":"https://orcid.org/0009-0008-2110-9853"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Isao Ono","raw_affiliation_strings":["Tokyo Institute of Technology, Kanagawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Kanagawa, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":1.9196,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.85884413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"813","last_page":"820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"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":1.0,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9790999889373779,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7749608159065247},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.7639193534851074},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5901410579681396},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5511585474014282},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.546129047870636},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5404011607170105},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.48872900009155273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.468049019575119},{"id":"https://openalex.org/keywords/pareto-analysis","display_name":"Pareto analysis","score":0.45801037549972534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4199768900871277}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7749608159065247},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.7639193534851074},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5901410579681396},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5511585474014282},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.546129047870636},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5404011607170105},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.48872900009155273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.468049019575119},{"id":"https://openalex.org/C118127601","wikidata":"https://www.wikidata.org/wiki/Q3797610","display_name":"Pareto analysis","level":3,"score":0.45801037549972534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4199768900871277},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1276958.1277120","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276958.1277120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 9th annual conference on Genetic and evolutionary computation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.148.3066","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.148.3066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bham.ac.uk/~wbl/biblio/gecco2007/docs/p813.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W46478508","https://openalex.org/W61948969","https://openalex.org/W1501538060","https://openalex.org/W1595498733","https://openalex.org/W2044042941","https://openalex.org/W2044177289","https://openalex.org/W2061426292","https://openalex.org/W2070365265","https://openalex.org/W2086743688","https://openalex.org/W2089703000","https://openalex.org/W2266946488","https://openalex.org/W2493109494","https://openalex.org/W4285719527","https://openalex.org/W6602577983"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2728870795","https://openalex.org/W317165722","https://openalex.org/W1588199609","https://openalex.org/W2358268639","https://openalex.org/W4300308878","https://openalex.org/W2470758391","https://openalex.org/W2969026648","https://openalex.org/W2051213170","https://openalex.org/W2166566913"],"abstract_inverted_index":{"Although":[0],"multi-objective":[1,7],"GA":[2],"(MOGA)":[3],"is":[4,122],"an":[5],"efficient":[6],"optimization":[8],"(MOO)":[9],"method,":[10],"it":[11,134,172],"has":[12,35],"some":[13,57],"limitations":[14,60],"that":[15,100],"need":[16],"to":[17,125,136,150,195],"be":[18,64,174],"tackled,":[19],"which":[20,42,87,148,158],"include":[21],"unguaranteed":[22],"uniformity":[23],"of":[24,29,31,46,58,61,95,110,120,127,146,157,181],"solutions":[25,51,128],"and":[26,75,106,167,185,189],"uncertain":[27],"finding":[28],"periphery":[30],"Pareto-optimal":[32,50,140,159],"solutions.":[33],"It":[34],"been":[36],"shown":[37],"that,":[38],"on":[39,171],"bi-objective":[40],"problems,":[41],"are":[43,162],"the":[44,59,68,72,77,89,93,103,108,144,193],"subject":[45],"this":[47,55],"paper,":[48],"local":[49,139],"form":[52],"curves.":[53],"In":[54],"case,":[56],"MOGA":[62,184,188,191],"can":[63,173],"resolved":[65],"by":[66,91,164],"sampling":[67,90],"curves":[69,161],"uniformly":[70],"in":[71,76,183],"variable":[73],"space":[74],"objective":[78,118],"space.":[79],"This":[80,176],"paper":[81,177],"proposes":[82,178],"Pareto":[83],"Path":[84,97],"Following":[85],"(PPF)":[86],"does":[88],"extending":[92],"framework":[94],"Numerical":[96],"Following,":[98],"verifies":[99],"PPF":[101,111,121,132,153,182],"exhibits":[102],"desired":[104],"behaviors,":[105],"addresses":[107],"extension":[109],"for":[112],"problems":[113],"with":[114,130],"more":[115],"than":[116],"two":[117],"functions.Application":[119],"not":[123],"limited":[124],"refinement":[126],"obtained":[129],"MOGA.":[131,152],"makes":[133],"natural":[135],"have":[137],"a":[138],"solution":[141,160],"curve":[142],"as":[143],"unit":[145],"search,":[147],"leads":[149],"curve-based":[151,190],"also":[154],"enables":[155],"examination":[156],"found":[163],"MOO":[165],"methods,":[166],"performance":[168],"metrics":[169,194],"based":[170],"defined.":[175],"these":[179],"applications":[180],"compares":[186],"standard":[187],"using":[192],"reveal":[196],"their":[197],"characteristics.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}