{"id":"https://openalex.org/W2117453943","doi":"https://doi.org/10.1109/ecc.2015.7330703","title":"An iterative scheme for the approximate linear programming solution to the optimal control of a Markov Decision Process","display_name":"An iterative scheme for the approximate linear programming solution to the optimal control of a Markov Decision Process","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2117453943","doi":"https://doi.org/10.1109/ecc.2015.7330703","mag":"2117453943"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7330703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7330703&isnumber=7330515","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057980054","display_name":"Alessandro Falsone","orcid":"https://orcid.org/0000-0002-2335-1490"},"institutions":[{"id":"https://openalex.org/I4210142020","display_name":"Consorzio di Bioingegneria e Informatica Medica","ror":"https://ror.org/044w95594","country_code":"IT","type":"other","lineage":["https://openalex.org/I4210142020"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alessandro Falsone","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Milano, Italy","Politecnico di Milano, Dipartimento di Elettronica Informazione e Bioingegneria, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Milano, Italy","institution_ids":["https://openalex.org/I4210142020"]},{"raw_affiliation_string":"Politecnico di Milano, Dipartimento di Elettronica Informazione e Bioingegneria, Italy#TAB#","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060251698","display_name":"Maria Prandini","orcid":"https://orcid.org/0000-0001-7443-4117"},"institutions":[{"id":"https://openalex.org/I4210142020","display_name":"Consorzio di Bioingegneria e Informatica Medica","ror":"https://ror.org/044w95594","country_code":"IT","type":"other","lineage":["https://openalex.org/I4210142020"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Prandini","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Milano, Italy","Politecnico di Milano, Dipartimento di Elettronica Informazione e Bioingegneria, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Milano, Italy","institution_ids":["https://openalex.org/I4210142020"]},{"raw_affiliation_string":"Politecnico di Milano, Dipartimento di Elettronica Informazione e Bioingegneria, Italy#TAB#","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057980054"],"corresponding_institution_ids":["https://openalex.org/I4210142020","https://openalex.org/I93860229"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08623073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1200","last_page":"1205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11053","display_name":"Process Optimization and Integration","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/markov-decision-process","display_name":"Markov decision process","score":0.7948153614997864},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7366648316383362},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5819298624992371},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5506991744041443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5321558713912964},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5239858031272888},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5093082189559937},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5027000904083252},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.4826958179473877},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.42418649792671204},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4192348122596741},{"id":"https://openalex.org/keywords/partially-observable-markov-decision-process","display_name":"Partially observable Markov decision process","score":0.4180104732513428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40685322880744934}],"concepts":[{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.7948153614997864},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7366648316383362},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5819298624992371},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5506991744041443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5321558713912964},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5239858031272888},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5093082189559937},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5027000904083252},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.4826958179473877},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.42418649792671204},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4192348122596741},{"id":"https://openalex.org/C17098449","wikidata":"https://www.wikidata.org/wiki/Q176814","display_name":"Partially observable Markov decision process","level":4,"score":0.4180104732513428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40685322880744934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecc.2015.7330703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:re.public.polimi.it:11311/988931","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7330703&isnumber=7330515","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/988931","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7330703&isnumber=7330515","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1494154421","https://openalex.org/W1521939022","https://openalex.org/W1601081659","https://openalex.org/W1626155273","https://openalex.org/W1745373831","https://openalex.org/W1824914642","https://openalex.org/W1993112505","https://openalex.org/W2018726596","https://openalex.org/W2061234608","https://openalex.org/W2074603479","https://openalex.org/W2080813827","https://openalex.org/W2088551915","https://openalex.org/W2098432798","https://openalex.org/W2103496339","https://openalex.org/W2104371886","https://openalex.org/W2112027492","https://openalex.org/W2113442785","https://openalex.org/W2117781171","https://openalex.org/W2167412190","https://openalex.org/W2487144912","https://openalex.org/W4213009134","https://openalex.org/W4250913065","https://openalex.org/W6629412516"],"related_works":["https://openalex.org/W2096013579","https://openalex.org/W52153049","https://openalex.org/W1760611253","https://openalex.org/W1589140671","https://openalex.org/W1515117609","https://openalex.org/W4323315247","https://openalex.org/W2903299703","https://openalex.org/W4281791088","https://openalex.org/W4385342861","https://openalex.org/W1574958246"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,8,37,44,49,84,93,112,122,131,143],"computational":[4],"issues":[5],"involved":[6],"in":[7,105],"solution":[9,47,82],"to":[10,48,83,135],"an":[11,63,69,80,86],"infinite-horizon":[12],"optimal":[13,33,75],"control":[14,30],"problem":[15],"for":[16,36],"a":[17,23,28,57,99,106,149],"Markov":[18,34],"Decision":[19],"Process":[20],"(MDP)":[21],"with":[22,62],"continuous":[24],"state":[25],"component":[26],"and":[27,68],"discrete":[29],"input.":[31],"The":[32,140],"policy":[35],"MDP":[38],"can":[39,53],"be":[40,54],"determined":[41],"based":[42],"on":[43,148],"fixed":[45],"point":[46],"Bellman":[50],"equation,":[51],"which":[52],"rephrased":[55],"as":[56,98,134],"constrained":[58],"Linear":[59],"Program":[60],"(LP)":[61],"infinite":[64,70],"number":[65,123],"of":[66,102,124,142],"constraints":[67],"dimensional":[71],"optimization":[72,94],"variable":[73,95],"(the":[74],"value":[76],"function).":[77],"To":[78],"compute":[79],"(approximate)":[81],"LP,":[85],"iterative":[87],"randomized":[88],"scheme":[89,145],"is":[90,96,116,127,146],"proposed":[91,144],"where":[92],"expressed":[97],"linear":[100],"combination":[101],"basis":[103,125],"functions":[104,126],"given":[107],"class:":[108],"at":[109],"each":[110],"iteration,":[111],"resulting":[113],"semi-infinite":[114],"LP":[115],"solved":[117],"via":[118],"constraint":[119],"sampling,":[120],"whereas":[121],"progressively":[128],"increased":[129],"through":[130],"iterations":[132],"so":[133],"meet":[136],"some":[137],"performance":[138],"goal.":[139],"effectiveness":[141],"shown":[147],"multi-room":[150],"heating":[151],"system":[152],"example.":[153]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
