{"id":"https://openalex.org/W1997468775","doi":"https://doi.org/10.1109/cec.2009.4982998","title":"A multi-objective approach to Redundancy Allocation Problem in parallel-series systems","display_name":"A multi-objective approach to Redundancy Allocation Problem in parallel-series systems","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W1997468775","doi":"https://doi.org/10.1109/cec.2009.4982998","mag":"1997468775"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2009.4982998","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2009.4982998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 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/A5101845455","display_name":"Zai Wang","orcid":"https://orcid.org/0009-0008-0480-7836"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zai Wang","raw_affiliation_strings":["Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109886311","display_name":"Tianshi Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianshi Chen","raw_affiliation_strings":["Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021254405","display_name":"Ke Tang","orcid":"https://orcid.org/0000-0002-6236-2002"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Tang","raw_affiliation_strings":["Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China"],"affiliations":[{"raw_affiliation_string":"Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635494","display_name":"Xin Yao","orcid":"https://orcid.org/0000-0001-8837-4442"},"institutions":[{"id":"https://openalex.org/I1118541","display_name":"University of East Anglia","ror":"https://ror.org/026k5mg93","country_code":"GB","type":"education","lineage":["https://openalex.org/I1118541"]},{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Xin Yao","raw_affiliation_strings":["CERCIA, the school of Computer Science, University of Binningham, Birmingham, UK","Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China"],"affiliations":[{"raw_affiliation_string":"CERCIA, the school of Computer Science, University of Binningham, Birmingham, UK","institution_ids":["https://openalex.org/I1118541"]},{"raw_affiliation_string":"Nature Inspired Computation and Applications Laboratory, the Department of Computer Science and Technology, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101845455"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":12.3014,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.98044173,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"582","last_page":"589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T11357","display_name":"Risk and Safety Analysis","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.7901467680931091},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6467256546020508},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6433336734771729},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5972872376441956},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5621945858001709},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5384718179702759},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5129218101501465},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4606037735939026},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4517667591571808},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21273678541183472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19341382384300232}],"concepts":[{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.7901467680931091},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6467256546020508},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6433336734771729},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5972872376441956},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5621945858001709},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5384718179702759},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5129218101501465},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4606037735939026},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4517667591571808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21273678541183472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19341382384300232},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cec.2009.4982998","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2009.4982998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.160.3863","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.3863","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/~xin/papers/WangChenTangYaoCEC09.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.188.7933","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.7933","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://nical.ustc.edu.cn/uploads/cec2009/P252.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/948dfc00-02c5-47bf-b1e4-027eb62f132b","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/948dfc00-02c5-47bf-b1e4-027eb62f132b","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wang, Z, Chen, T, Tang, K & Yao, X 2009, 'A Multi-Objective Approach to Redundancy Allocation Problem in Parallel-Series Systems', Paper presented at Proceedings of the 2009 IEEE Congress on Evolutionary Computation (CEC2009), 18/05/09 pp. 582-589. https://doi.org/10.1109/CEC.2009.4982998","raw_type":"conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1585939719","https://openalex.org/W1965918351","https://openalex.org/W1973299514","https://openalex.org/W1974075563","https://openalex.org/W2002556623","https://openalex.org/W2024108475","https://openalex.org/W2031232041","https://openalex.org/W2034629430","https://openalex.org/W2036202715","https://openalex.org/W2053900989","https://openalex.org/W2060007344","https://openalex.org/W2077084443","https://openalex.org/W2078072758","https://openalex.org/W2082498534","https://openalex.org/W2094314696","https://openalex.org/W2109202810","https://openalex.org/W2109988251","https://openalex.org/W2114621702","https://openalex.org/W2116827549","https://openalex.org/W2123608693","https://openalex.org/W2126105956","https://openalex.org/W2132032636","https://openalex.org/W2148606018","https://openalex.org/W2151781992","https://openalex.org/W2156297386","https://openalex.org/W2156817790","https://openalex.org/W2165046421","https://openalex.org/W2167580870","https://openalex.org/W3212709492","https://openalex.org/W4247930157","https://openalex.org/W6635097213"],"related_works":["https://openalex.org/W1994686097","https://openalex.org/W2028934378","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W3134440233","https://openalex.org/W2751605210","https://openalex.org/W3151104768","https://openalex.org/W2022485595"],"abstract_inverted_index":{"The":[0,59,170],"Redundancy":[1],"Allocation":[2],"Problem":[3],"(RAP)":[4],"is":[5,65],"a":[6,40,51,81,94,119,143,166],"kind":[7,67],"of":[8,16,21,68,83,125,168,203],"reliability":[9,24,29,57,106,124,204],"optimization":[10,70,121],"problems.":[11,71],"It":[12],"involves":[13],"the":[14,27,37,46,56,73,99,104,109,123,126,129,175,201],"selection":[15],"components":[17],"with":[18,98,158,186],"appropriate":[19],"levels":[20],"redundancy":[22,47,161],"or":[23],"to":[25,102,156],"maximize":[26,103],"system":[28,105,127],"under":[30,165],"some":[31],"predefined":[32],"constraints.":[33,169],"We":[34],"can":[35,141,179],"formulate":[36],"RAP":[38,60,92,117],"as":[39,50,93,118,135],"combinatorial":[41,69],"problem":[42,53,97,163],"when":[43,54],"just":[44],"considering":[45,55],"level,":[48],"while":[49],"continuous":[52],"level.":[58],"employed":[61],"in":[62,184,200],"this":[63,113,159],"paper":[64],"that":[66,174],"During":[72],"past":[74],"thirty":[75],"years,":[76],"there":[77],"have":[78],"already":[79],"been":[80],"number":[82,167],"investigations":[84,89],"on":[85,192],"RAP.":[86],"However,":[87],"these":[88],"often":[90],"treat":[91],"single":[95],"objective":[96],"only":[100],"goal":[101],"(or":[107],"minimize":[108],"designing":[110,131],"cost).":[111],"In":[112],"paper,":[114],"we":[115,140],"regard":[116],"multi-objective":[120,160,176],"problem:":[122],"and":[128],"corresponding":[130],"cost":[132],"are":[133,197],"considered":[134],"two":[136,187,193],"different":[137],"objectives.":[138],"Consequently,":[139],"utilize":[142],"classical":[144],"Multi-objective":[145],"Evolutionary":[146],"Algorithm":[147,153],"(MOEA),":[148],"named":[149],"Non-dominated":[150],"Sorting":[151],"Genetic":[152],"II":[154],"(NSGA-II),":[155],"cope":[157],"allocation":[162],"(MORAP)":[164],"experimental":[171],"results":[172],"demonstrate":[173],"evolutionary":[177],"approach":[178],"provide":[180],"more":[181],"promising":[182],"solutions":[183],"comparison":[185],"widely":[188],"used":[189],"single-objective":[190],"approaches":[191],"parallel-series":[194],"systems":[195],"which":[196],"frequently":[198],"studied":[199],"field":[202],"optimization.":[205]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}