{"id":"https://openalex.org/W2154513440","doi":"https://doi.org/10.1109/tr.2011.2161030","title":"A Sequential Decomposition Method for Estimating Flow in a Multi-Commodity, Multistate Network","display_name":"A Sequential Decomposition Method for Estimating Flow in a Multi-Commodity, Multistate Network","publication_year":2011,"publication_date":"2011-07-13","ids":{"openalex":"https://openalex.org/W2154513440","doi":"https://doi.org/10.1109/tr.2011.2161030","mag":"2154513440"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2011.2161030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2011.2161030","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","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/A5012456515","display_name":"Wei\u2010Chang Yeh","orcid":"https://orcid.org/0000-0001-7393-0768"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Wei-Chang Yeh","raw_affiliation_strings":["Advanced Analytics Institute, Faculty of Engineering and Information Technology, Sydney University of Technology, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Advanced Analytics Institute, Faculty of Engineering and Information Technology, Sydney University of Technology, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466","https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012456515"],"corresponding_institution_ids":["https://openalex.org/I114017466","https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":8.76,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.97204956,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"3","first_page":"612","last_page":"621"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/T11357","display_name":"Risk and Safety Analysis","score":0.9993000030517578,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9966999888420105,"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/correctness","display_name":"Correctness","score":0.7512962222099304},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.7143484354019165},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5698472857475281},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4966920018196106},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.44737163186073303},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.42552411556243896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32169264554977417},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2204148769378662}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7512962222099304},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7143484354019165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5698472857475281},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4966920018196106},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.44737163186073303},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.42552411556243896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32169264554977417},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2204148769378662},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":2,"locations":[{"id":"doi:10.1109/tr.2011.2161030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2011.2161030","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","raw_type":"journal-article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/18298","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/18298","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W642414339","https://openalex.org/W1524804355","https://openalex.org/W1964119857","https://openalex.org/W1984876372","https://openalex.org/W1993023738","https://openalex.org/W1995596738","https://openalex.org/W1996824380","https://openalex.org/W1999896306","https://openalex.org/W2014336400","https://openalex.org/W2029492648","https://openalex.org/W2036933014","https://openalex.org/W2057697326","https://openalex.org/W2064881562","https://openalex.org/W2081682083","https://openalex.org/W2083592025","https://openalex.org/W2096391914","https://openalex.org/W2096404357","https://openalex.org/W2102375886","https://openalex.org/W2112680405","https://openalex.org/W2114572907","https://openalex.org/W2117889403","https://openalex.org/W2127368091","https://openalex.org/W2132049856","https://openalex.org/W2142194347","https://openalex.org/W2147455959","https://openalex.org/W2150815458","https://openalex.org/W2152803417","https://openalex.org/W2167868686","https://openalex.org/W2169302393","https://openalex.org/W3044238769","https://openalex.org/W3144069987","https://openalex.org/W4229663176"],"related_works":["https://openalex.org/W1667647204","https://openalex.org/W2404647514","https://openalex.org/W4247536566","https://openalex.org/W2018477250","https://openalex.org/W3119814709","https://openalex.org/W4241418540","https://openalex.org/W1508895727","https://openalex.org/W2725786787","https://openalex.org/W4283160672","https://openalex.org/W1875930651"],"abstract_inverted_index":{"The":[0,68,113,127],"weighted":[1],"multi-commodity":[2],"multistate":[3,12,21],"unreliable":[4,22],"network":[5,18],"(WMMUN)":[6],"is":[7,15,34,52,155],"an":[8],"extension":[9],"of":[10,20,40,119,132,170,176,184],"the":[11,43,48,93,110,116,133,152,158,171,174,182],"network.":[13],"It":[14],"a":[16],"new":[17],"composed":[19],"components":[23],"(such":[24],"as":[25],"arcs":[26],"and":[27,80,85,129,139,181],"nodes)":[28],"with":[29,165],"various":[30],"weight":[31],"capacities":[32],"which":[33],"able":[35],"to":[36,46,73,149],"transmit":[37],"different":[38,117],"types":[39],"commodities.":[41],"Currently,":[42],"method":[44,70,96],"used":[45],"calculate":[47],"direct":[49],"WMMUN":[50,111,120,153],"reliability":[51,121,154],"derived":[53],"from":[54],"algorithms":[55],"based":[56,91],"on":[57,92],"<i":[58,64,76,104,177,185],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59,65,77,105,178,186],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">D</i>":[60,66,78,106,187],"-minimal":[61],"path":[62],"(":[63],"-MP).":[67],"best-known":[69],"may":[71],"fail":[72],"find":[74],"real":[75,103],"-MPs,":[79,180],"therefore":[81],"requires":[82],"more":[83],"comparison":[84],"verification.":[86],"A":[87],"very":[88],"simple":[89],"algorithm":[90,135],"sequential":[94],"decomposition":[95],"has":[97],"been":[98,125],"developed":[99],"for":[100],"finding":[101],"all":[102],"-MPs":[107],"before":[108],"calculating":[109],"reliability.":[112],"relationships":[114],"among":[115],"versions":[118],"problems":[122],"have":[123],"also":[124],"clarified.":[126],"correctness":[128],"computational":[130],"complexity":[131],"proposed":[134,159],"will":[136,146],"be":[137,147],"analysed":[138],"proven":[140],"in":[141,168],"this":[142],"paper.":[143],"An":[144],"example":[145],"given":[148],"illustrate":[150],"how":[151],"evaluated":[156],"using":[157],"algorithm.":[160],"Computational":[161],"results":[162],"compare":[163],"favorably":[164],"existing":[166],"methods":[167],"terms":[169],"running":[172],"time,":[173],"number":[175,183],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>":[179],"-MP":[188],"candidates.":[189]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
