{"id":"https://openalex.org/W2086137160","doi":"https://doi.org/10.1137/070683945","title":"On a Class of Optimization Problems for Finite Time Horizon Inventory Models","display_name":"On a Class of Optimization Problems for Finite Time Horizon Inventory Models","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2086137160","doi":"https://doi.org/10.1137/070683945","mag":"2086137160"},"language":"en","primary_location":{"id":"doi:10.1137/070683945","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070683945","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/A5061325644","display_name":"Lakd\u00e9re Benkherouf","orcid":"https://orcid.org/0000-0001-6803-8740"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lakdere Benkherouf","raw_affiliation_strings":["lakdereb@yahoo.com#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"lakdereb@yahoo.com#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063801147","display_name":"Brian H. Gilding","orcid":"https://orcid.org/0000-0003-1402-3054"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brian H. Gilding","raw_affiliation_strings":["gilding@squ.edu.om#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"gilding@squ.edu.om#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4375,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84785996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"2","first_page":"993","last_page":"1030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9995999932289124,"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":0.9995999932289124,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9789000153541565,"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/mathematics","display_name":"Mathematics","score":0.7029746770858765},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6985270977020264},{"id":"https://openalex.org/keywords/time-horizon","display_name":"Time horizon","score":0.6380491256713867},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6245446801185608},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5996667146682739},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.5890015363693237},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.507066011428833},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.49137941002845764},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.48108431696891785},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47540292143821716},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4343659281730652},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41765299439430237},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4107394516468048},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16635984182357788}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7029746770858765},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6985270977020264},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.6380491256713867},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6245446801185608},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5996667146682739},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.5890015363693237},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.507066011428833},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.49137941002845764},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.48108431696891785},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47540292143821716},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4343659281730652},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41765299439430237},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4107394516468048},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16635984182357788},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/070683945","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070683945","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":[{"score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1966796293","https://openalex.org/W1978415596","https://openalex.org/W1991857908","https://openalex.org/W1992502601","https://openalex.org/W1993674123","https://openalex.org/W2014750611","https://openalex.org/W2014888249","https://openalex.org/W2015741669","https://openalex.org/W2027217903","https://openalex.org/W2028361301","https://openalex.org/W2047377924","https://openalex.org/W2077583611","https://openalex.org/W2085660432","https://openalex.org/W2153558554","https://openalex.org/W2168653946"],"related_works":["https://openalex.org/W207287952","https://openalex.org/W1859185863","https://openalex.org/W2964126589","https://openalex.org/W4285537323","https://openalex.org/W1932159282","https://openalex.org/W4307691181","https://openalex.org/W3016225735","https://openalex.org/W2017412075","https://openalex.org/W1518875602","https://openalex.org/W2116748936"],"abstract_inverted_index":{"The":[0,34],"paper":[1],"proposes":[2],"a":[3,10,18,21,70,85,96],"general":[4],"theory":[5],"for":[6,23,28,99],"the":[7,24,43,49,52,55,66,79,88,101],"treatment":[8],"of":[9,12,20,42,45,51,57,87,90],"class":[11],"optimization":[13,39,67],"problems":[14,40,68],"that":[15,65],"arise":[16],"as":[17,84],"consequence":[19],"search":[22],"optimal":[25,102],"replenishment":[26,46,58,91],"schedule":[27],"finite":[29],"time":[30],"horizon":[31],"inventory":[32],"models.":[33],"decision":[35],"variables":[36],"in":[37],"these":[38],"consist":[41],"number":[44,56,89],"periods":[47,59],"and":[48],"lengths":[50],"periods.":[53,92],"When":[54],"is":[60,63,82],"fixed,":[61],"it":[62],"shown":[64],"have":[69],"unique":[71],"solution":[72],"under":[73],"some":[74],"partial":[75],"differential":[76],"inequalities.":[77],"Furthermore,":[78],"minimal":[80],"value":[81],"convex":[83],"function":[86],"This":[93],"leads":[94],"to":[95],"simple":[97],"procedure":[98],"determining":[100],"control":[103],"policy.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
