{"id":"https://openalex.org/W2789431061","doi":"https://doi.org/10.2514/1.i010564","title":"Convergence Analysis of Hidden Genes Genetic Algorithms in Space Trajectory Optimization","display_name":"Convergence Analysis of Hidden Genes Genetic Algorithms in Space Trajectory Optimization","publication_year":2018,"publication_date":"2018-01-30","ids":{"openalex":"https://openalex.org/W2789431061","doi":"https://doi.org/10.2514/1.i010564","mag":"2789431061"},"language":"en","primary_location":{"id":"doi:10.2514/1.i010564","is_oa":false,"landing_page_url":"https://doi.org/10.2514/1.i010564","pdf_url":null,"source":{"id":"https://openalex.org/S4210240151","display_name":"Journal of Aerospace Information Systems","issn_l":"2327-3097","issn":["2327-3097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Aerospace Information Systems","raw_type":"journal-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/A5054645422","display_name":"Shadi Darani","orcid":"https://orcid.org/0000-0003-0736-5048"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shadi A. Darani","raw_affiliation_strings":["Michigan Technological University, Houghton, Michigan 49931-1295"],"affiliations":[{"raw_affiliation_string":"Michigan Technological University, Houghton, Michigan 49931-1295","institution_ids":["https://openalex.org/I11957088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027607550","display_name":"Ossama Abdelkhalik","orcid":"https://orcid.org/0000-0003-4850-6353"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ossama Abdelkhalik","raw_affiliation_strings":["Michigan Technological University, Houghton, Michigan 49931-1295"],"affiliations":[{"raw_affiliation_string":"Michigan Technological University, Houghton, Michigan 49931-1295","institution_ids":["https://openalex.org/I11957088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054645422"],"corresponding_institution_ids":["https://openalex.org/I11957088"],"apc_list":null,"apc_paid":null,"fwci":0.3191,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60514253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"4","first_page":"228","last_page":"238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9984999895095825,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9624000191688538,"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/T12288","display_name":"Optimization and Search Problems","score":0.9584000110626221,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/algorithm","display_name":"Algorithm","score":0.6145819425582886},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5979997515678406},{"id":"https://openalex.org/keywords/trajectory-optimization","display_name":"Trajectory optimization","score":0.5397835969924927},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5118972063064575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5083662867546082},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4590451121330261},{"id":"https://openalex.org/keywords/quality-control-and-genetic-algorithms","display_name":"Quality control and genetic algorithms","score":0.4364592432975769},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4325520992279053},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4299446940422058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31983131170272827},{"id":"https://openalex.org/keywords/meta-optimization","display_name":"Meta-optimization","score":0.2922719120979309},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.28508150577545166},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.21216681599617004},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09691029787063599}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6145819425582886},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5979997515678406},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.5397835969924927},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5118972063064575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5083662867546082},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4590451121330261},{"id":"https://openalex.org/C161164918","wikidata":"https://www.wikidata.org/wiki/Q7268775","display_name":"Quality control and genetic algorithms","level":4,"score":0.4364592432975769},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4325520992279053},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4299446940422058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31983131170272827},{"id":"https://openalex.org/C4935549","wikidata":"https://www.wikidata.org/wiki/Q6822261","display_name":"Meta-optimization","level":3,"score":0.2922719120979309},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.28508150577545166},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.21216681599617004},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09691029787063599},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2514/1.i010564","is_oa":false,"landing_page_url":"https://doi.org/10.2514/1.i010564","pdf_url":null,"source":{"id":"https://openalex.org/S4210240151","display_name":"Journal of Aerospace Information Systems","issn_l":"2327-3097","issn":["2327-3097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Aerospace Information Systems","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-33226","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/13923","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2826185079","display_name":null,"funder_award_id":"1446622","funder_id":"https://openalex.org/F4320337563","funder_display_name":"Division of Advanced Cyberinfrastructure"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337563","display_name":"Division of Advanced Cyberinfrastructure","ror":"https://ror.org/04nh1dc89"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W92112608","https://openalex.org/W1659842140","https://openalex.org/W1980465669","https://openalex.org/W1987768100","https://openalex.org/W1997073453","https://openalex.org/W2032736531","https://openalex.org/W2093456124","https://openalex.org/W2143902013","https://openalex.org/W2157937859","https://openalex.org/W2162232298","https://openalex.org/W2167325880","https://openalex.org/W2168380342","https://openalex.org/W2532840367","https://openalex.org/W2775963324","https://openalex.org/W4206506336"],"related_works":["https://openalex.org/W4385832323","https://openalex.org/W4244391535","https://openalex.org/W2356996864","https://openalex.org/W2904060783","https://openalex.org/W2015393961","https://openalex.org/W2378339670","https://openalex.org/W2359353485","https://openalex.org/W2361427670","https://openalex.org/W2139910871","https://openalex.org/W2119925415"],"abstract_inverted_index":{"This":[0],"study":[1],"presents":[2],"a":[3,14,57,95],"convergence":[4,42],"analysis":[5],"that":[6],"proves":[7],"hidden":[8],"genes":[9],"genetic":[10],"algorithms":[11],"(HGGAs)":[12],"generate":[13],"sequence":[15],"of":[16,22,35,43,102,110],"solutions":[17],"with":[18,46,60],"the":[19,23,30,41,44,65,84,89,100,108,111],"limit":[20],"value":[21],"global":[24],"optima.":[25],"For":[26],"an":[27],"analytical":[28],"proof,":[29],"homogeneous":[31],"finite":[32],"Markov":[33],"models":[34],"different":[36],"mechanisms":[37,49],"are":[38,50],"derived,":[39],"and":[40,80],"HGGAs":[45],"tag":[47],"evolution":[48],"investigated.":[51],"The":[52,68,92],"optimization":[53],"problem":[54,59],"is":[55,74,94],"considered":[56],"maximization":[58],"strictly":[61],"positive":[62],"values":[63],"for":[64],"objective":[66],"function.":[67],"stochastic":[69,96],"dependency":[70],"between":[71],"successive":[72],"populations":[73],"created":[75],"by":[76],"applying":[77],"selection,":[78],"mutation,":[79],"crossover":[81],"operators":[82],"to":[83,87],"current":[85],"population":[86,104],"produce":[88],"next":[90],"population.":[91,114],"GA":[93],"process":[97],"in":[98],"which":[99],"state":[101,109],"each":[103],"only":[105],"depends":[106],"on":[107],"immediate":[112],"predecessor":[113]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}