{"id":"https://openalex.org/W2963231728","doi":"https://doi.org/10.1007/s10479-017-2561-9","title":"On the optimality equation for average cost Markov decision processes and its validity for inventory control","display_name":"On the optimality equation for average cost Markov decision processes and its validity for inventory control","publication_year":2017,"publication_date":"2017-06-22","ids":{"openalex":"https://openalex.org/W2963231728","doi":"https://doi.org/10.1007/s10479-017-2561-9","mag":"2963231728"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-017-2561-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-017-2561-9","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","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/A5013021251","display_name":"Eugene A. Feinberg","orcid":"https://orcid.org/0000-0002-8263-0772"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eugene A. Feinberg","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY, 11794, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY, 11794, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000315479","display_name":"Yan Liang","orcid":"https://orcid.org/0000-0001-6537-823X"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yan Liang","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY, 11794, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY, 11794, USA","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013021251"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.6659,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.94922088,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"317","issue":"2","first_page":"569","last_page":"586"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.988099992275238,"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"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.768446683883667},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6447920799255371},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.6396501064300537},{"id":"https://openalex.org/keywords/average-cost","display_name":"Average cost","score":0.5995176434516907},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.5895691514015198},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5630100965499878},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.47062328457832336},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4498733580112457},{"id":"https://openalex.org/keywords/holding-cost","display_name":"Holding cost","score":0.431804358959198},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4305483102798462},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4108333885669708},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40732213854789734},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38846781849861145},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.33717626333236694},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23783031105995178},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1796366274356842}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.768446683883667},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6447920799255371},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6396501064300537},{"id":"https://openalex.org/C2780958618","wikidata":"https://www.wikidata.org/wiki/Q945621","display_name":"Average cost","level":2,"score":0.5995176434516907},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.5895691514015198},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5630100965499878},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.47062328457832336},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4498733580112457},{"id":"https://openalex.org/C192365026","wikidata":"https://www.wikidata.org/wiki/Q5046829","display_name":"Holding cost","level":2,"score":0.431804358959198},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4305483102798462},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4108333885669708},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40732213854789734},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38846781849861145},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.33717626333236694},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23783031105995178},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1796366274356842},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-017-2561-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-017-2561-9","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:317:y:2022:i:2:d:10.1007_s10479-017-2561-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-017-2561-9","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6000000238418579,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W190405334","https://openalex.org/W1529558080","https://openalex.org/W1553702074","https://openalex.org/W1589191279","https://openalex.org/W1966208686","https://openalex.org/W1973080471","https://openalex.org/W1977161300","https://openalex.org/W1978010605","https://openalex.org/W1979697138","https://openalex.org/W2009395351","https://openalex.org/W2010463048","https://openalex.org/W2010654234","https://openalex.org/W2029631728","https://openalex.org/W2029806612","https://openalex.org/W2030544250","https://openalex.org/W2038353573","https://openalex.org/W2058259834","https://openalex.org/W2089289861","https://openalex.org/W2111669004","https://openalex.org/W2119481921","https://openalex.org/W2125591392","https://openalex.org/W2156150292","https://openalex.org/W2191508049","https://openalex.org/W2394960206","https://openalex.org/W2414837766","https://openalex.org/W2618768833","https://openalex.org/W2626777032","https://openalex.org/W2963292203","https://openalex.org/W2970560485","https://openalex.org/W3125844886","https://openalex.org/W3125883667","https://openalex.org/W4253214256","https://openalex.org/W4298177619","https://openalex.org/W4299937732","https://openalex.org/W6716017661","https://openalex.org/W6843975123","https://openalex.org/W7065461596"],"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":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
