{"id":"https://openalex.org/W1971879416","doi":"https://doi.org/10.1137/s0363012999361627","title":"Constrained Average Cost Markov Control Processes in Borel Spaces","display_name":"Constrained Average Cost Markov Control Processes in Borel Spaces","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1971879416","doi":"https://doi.org/10.1137/s0363012999361627","mag":"1971879416"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012999361627","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999361627","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5060670677","display_name":"On\u00e9simo Hern\u00e1ndez\u2013Lerma","orcid":"https://orcid.org/0000-0003-3308-5218"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"On\u00e9simo Hern\u00e1ndez-Lerma","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101533476","display_name":"Juan Gonz\u00e1lez Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-6640-0352"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juan Gonz\u00e1lez-Hern\u00e1ndez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024689884","display_name":"Raquiel R. L\u00f3pez\u2010Mart\u00ednez","orcid":"https://orcid.org/0000-0003-4378-2316"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raquiel R. L\u00f3pez-Mart\u00ednez","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060670677"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2591,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.90945554,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"42","issue":"2","first_page":"442","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9775999784469604,"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":0.9775999784469604,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8695803880691528},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6716054081916809},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6161081194877625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5932896733283997},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.571021556854248},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.541654109954834},{"id":"https://openalex.org/keywords/average-cost","display_name":"Average cost","score":0.5212945938110352},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.49054044485092163},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4521026611328125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3615465760231018},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.35744136571884155},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25789082050323486},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11650276184082031},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10136604309082031}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8695803880691528},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6716054081916809},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6161081194877625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5932896733283997},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.571021556854248},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.541654109954834},{"id":"https://openalex.org/C2780958618","wikidata":"https://www.wikidata.org/wiki/Q945621","display_name":"Average cost","level":2,"score":0.5212945938110352},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.49054044485092163},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4521026611328125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3615465760231018},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.35744136571884155},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25789082050323486},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11650276184082031},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10136604309082031},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C133425853","wikidata":"https://www.wikidata.org/wiki/Q60571","display_name":"Neoclassical economics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012999361627","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999361627","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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":43,"referenced_works":["https://openalex.org/W787785457","https://openalex.org/W891486198","https://openalex.org/W1506327958","https://openalex.org/W1518072521","https://openalex.org/W1518931405","https://openalex.org/W1529558080","https://openalex.org/W1578233523","https://openalex.org/W1967037758","https://openalex.org/W1967961078","https://openalex.org/W1978966474","https://openalex.org/W1980102442","https://openalex.org/W1985040464","https://openalex.org/W1988560007","https://openalex.org/W1991478799","https://openalex.org/W1992952151","https://openalex.org/W2010654234","https://openalex.org/W2013479759","https://openalex.org/W2019669033","https://openalex.org/W2043195713","https://openalex.org/W2044387322","https://openalex.org/W2059608630","https://openalex.org/W2067029462","https://openalex.org/W2083045496","https://openalex.org/W2087234248","https://openalex.org/W2087896522","https://openalex.org/W2105260964","https://openalex.org/W2107872937","https://openalex.org/W2123649906","https://openalex.org/W2141816805","https://openalex.org/W2155397423","https://openalex.org/W2175602944","https://openalex.org/W2317531417","https://openalex.org/W2323201333","https://openalex.org/W2596682183","https://openalex.org/W2802739963","https://openalex.org/W3140571750","https://openalex.org/W3150304496","https://openalex.org/W3160019363","https://openalex.org/W4210545817","https://openalex.org/W4243935343","https://openalex.org/W4248345117","https://openalex.org/W4299533062","https://openalex.org/W4301031214"],"related_works":["https://openalex.org/W2379651310","https://openalex.org/W1541249122","https://openalex.org/W2113019827","https://openalex.org/W2367222340","https://openalex.org/W2162286586","https://openalex.org/W4255368532","https://openalex.org/W2097475492","https://openalex.org/W2090383517","https://openalex.org/W3008910712","https://openalex.org/W4299989972"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"constrained":[3,49,59],"Markov":[4],"control":[5],"processes":[6],"in":[7,81,97],"Borel":[8],"spaces,":[9],"with":[10,103],"unbounded":[11],"costs.":[12],"The":[13],"criterion":[14],"to":[15,56,94],"be":[16,28],"minimized":[17],"is":[18,52,68,101],"a":[19,104],"long-run":[20],"expected":[21],"average":[22,32,36],"cost,":[23],"and":[24,54,74,79],"the":[25,48,75,83],"constraints":[26],"can":[27],"imposed":[29],"on":[30,35],"similar":[31],"costs,":[33],"or":[34,38,41],"rewards,":[37],"discounted":[39],"costs":[40],"rewards.":[42],"We":[43],"give":[44],"conditions":[45],"under":[46],"which":[47,100],"problem":[50],"(CP)":[51],"solvable":[53],"equivalent":[55],"an":[57,91],"equality":[58],"(EC)":[60],"linear":[61],"program.":[62],"Furthermore,":[63],"we":[64,89],"show":[65],"that":[66,80],"there":[67],"no":[69],"duality":[70,85],"gap":[71],"between":[72],"EC":[73],"dual":[76],"program":[77],"EC*":[78],"fact":[82],"strong":[84],"condition":[86],"holds.":[87],"Finally,":[88],"introduce":[90],"explicit":[92],"procedure":[93],"solve":[95],"CP":[96],"some":[98],"cases":[99],"illustrated":[102],"detailed":[105],"example.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
