{"id":"https://openalex.org/W3123253213","doi":"https://doi.org/10.1080/24725854.2020.1869351","title":"Decomposition methods for solving Markov decision processes with multiple models of the parameters","display_name":"Decomposition methods for solving Markov decision processes with multiple models of the parameters","publication_year":2021,"publication_date":"2021-01-19","ids":{"openalex":"https://openalex.org/W3123253213","doi":"https://doi.org/10.1080/24725854.2020.1869351","mag":"3123253213"},"language":"en","primary_location":{"id":"doi:10.1080/24725854.2020.1869351","is_oa":false,"landing_page_url":"https://doi.org/10.1080/24725854.2020.1869351","pdf_url":null,"source":{"id":"https://openalex.org/S4210225672","display_name":"IISE Transactions","issn_l":"2472-5854","issn":["2472-5854","2472-5862"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IISE Transactions","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/dataset/Decomposition_Methods_for_Solving_Markov_Decision_Processes_with_Multiple_Models_of_the_Parameters/13607779","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056136668","display_name":"Lauren N. Steimle","orcid":"https://orcid.org/0000-0002-4073-6165"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lauren N. Steimle","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003411118","display_name":"Vinayak S. Ahluwalia","orcid":"https://orcid.org/0000-0002-2227-6644"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vinayak S. Ahluwalia","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039876279","display_name":"Charmee Kamdar","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charmee Kamdar","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043415621","display_name":"Brian T. Denton","orcid":"https://orcid.org/0000-0002-6372-6066"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian T. Denton","raw_affiliation_strings":["Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056136668"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":1.3394,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.77844814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"53","issue":"12","first_page":"1295","last_page":"1310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9970999956130981,"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":0.9970999956130981,"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":0.9951000213623047,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.7509546279907227},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.727247953414917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6953616738319397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6320836544036865},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4973650276660919},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.48423218727111816},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.4784253239631653},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.46894001960754395},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.44472068548202515},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4282801151275635},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.41669023036956787},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.41399693489074707},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.3982848525047302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32789063453674316},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2721869945526123},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1444663107395172},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10854676365852356}],"concepts":[{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.7509546279907227},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.727247953414917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6953616738319397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6320836544036865},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4973650276660919},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.48423218727111816},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.4784253239631653},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.46894001960754395},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.44472068548202515},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4282801151275635},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.41669023036956787},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.41399693489074707},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3982848525047302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32789063453674316},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2721869945526123},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1444663107395172},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10854676365852356},{"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/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/24725854.2020.1869351","is_oa":false,"landing_page_url":"https://doi.org/10.1080/24725854.2020.1869351","pdf_url":null,"source":{"id":"https://openalex.org/S4210225672","display_name":"IISE Transactions","issn_l":"2472-5854","issn":["2472-5854","2472-5862"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IISE Transactions","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:uiiexx:v:53:y:2021:i:12:p:1295-1310","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/24725854.2020.1869351","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:figshare.com:article/13607779","is_oa":true,"landing_page_url":"https://figshare.com/articles/dataset/Decomposition_Methods_for_Solving_Markov_Decision_Processes_with_Multiple_Models_of_the_Parameters/13607779","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"},{"id":"doi:10.6084/m9.figshare.13607779.v2","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.13607779.v2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"dataset"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/13607779","is_oa":true,"landing_page_url":"https://figshare.com/articles/dataset/Decomposition_Methods_for_Solving_Markov_Decision_Processes_with_Multiple_Models_of_the_Parameters/13607779","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G3074348289","display_name":null,"funder_award_id":"CMMI-1462060","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4849045647","display_name":null,"funder_award_id":"DGE-1256260","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W347166089","https://openalex.org/W1508945008","https://openalex.org/W1541527977","https://openalex.org/W1569990960","https://openalex.org/W1601081659","https://openalex.org/W1965878388","https://openalex.org/W2001272401","https://openalex.org/W2027047704","https://openalex.org/W2038426159","https://openalex.org/W2041977479","https://openalex.org/W2044121814","https://openalex.org/W2059100426","https://openalex.org/W2100387313","https://openalex.org/W2119567691","https://openalex.org/W2124947072","https://openalex.org/W2137720426","https://openalex.org/W2152790647","https://openalex.org/W2155153696","https://openalex.org/W2165428239","https://openalex.org/W2165622730","https://openalex.org/W2168565265","https://openalex.org/W2200122131","https://openalex.org/W2277678953","https://openalex.org/W2334782222","https://openalex.org/W2487144912","https://openalex.org/W2553297237","https://openalex.org/W2725263144","https://openalex.org/W2767300261","https://openalex.org/W2768394776","https://openalex.org/W2898656812","https://openalex.org/W2963240753","https://openalex.org/W2978900218","https://openalex.org/W3134141736","https://openalex.org/W4247165901"],"related_works":["https://openalex.org/W2152670157","https://openalex.org/W4308702637","https://openalex.org/W2386410636","https://openalex.org/W176737593","https://openalex.org/W2903299703","https://openalex.org/W2016648086","https://openalex.org/W2808418668","https://openalex.org/W2156021013","https://openalex.org/W2062076630","https://openalex.org/W2083611438"],"abstract_inverted_index":{"We":[0,23],"consider":[1,121],"the":[2,12,29,36,54,64,90,107,111,116,125,138,144,155],"problem":[3,112],"of":[4,35,110,118,124,134,157],"decision-making":[5],"in":[6,27,154],"Markov":[7],"decision":[8,30],"processes":[9],"(MDPs)":[10],"when":[11],"reward":[13],"or":[14,67],"transition":[15],"probability":[16],"parameters":[17,37,148],"are":[18],"not":[19],"known":[20],"with":[21,56],"certainty.":[22],"study":[24],"an":[25,39,49,151],"approach":[26],"which":[28],"maker":[31],"considers":[32,53],"multiple":[33],"models":[34,123],"for":[38,115],"MDP":[40],"and":[41,99,113,142],"wishes":[42],"to":[43,58,85,89],"find":[44],"a":[45,131],"policy":[46],"that":[47,52,105,120,130,143],"optimizes":[48],"objective":[50],"function":[51],"performance":[55,66],"respect":[57],"each":[59],"model,":[60],"such":[61],"as":[62],"maximizing":[63,68],"expected":[65],"worst-case":[69],"performance.":[70],"Existing":[71],"solution":[72,103,117,140],"methods":[73,104,141],"rely":[74],"on":[75],"mixed-integer":[76],"program":[77],"(MIP)":[78],"formulations,":[79],"but":[80],"have":[81],"previously":[82],"been":[83],"limited":[84],"small":[86],"instances,":[87],"due":[88],"computational":[91],"complexity.":[92],"In":[93],"this":[94],"article,":[95],"we":[96],"present":[97],"branch-and-cut":[98],"policy-based":[100],"branch-and-bound":[101],"(PB-B&B)":[102],"leverage":[106],"decomposable":[108],"structure":[109],"allow":[114],"MDPs":[119],"many":[122],"parameters.":[126],"Numerical":[127],"experiments":[128],"show":[129],"customized":[132],"implementation":[133],"PB-B&B":[135],"significantly":[136],"outperforms":[137],"MIP-based":[139],"variance":[145],"among":[146],"model":[147],"can":[149],"be":[150],"important":[152],"factor":[153],"value":[156],"solving":[158],"these":[159],"problems.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
