{"id":"https://openalex.org/W3216016133","doi":"https://doi.org/10.1137/080715883","title":"Optimality of an $(s,S)$ Policy with Compound Poisson and Diffusion Demands: A Quasi-Variational Inequalities Approach","display_name":"Optimality of an $(s,S)$ Policy with Compound Poisson and Diffusion Demands: A Quasi-Variational Inequalities Approach","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W3216016133","doi":"https://doi.org/10.1137/080715883","mag":"3216016133"},"language":"en","primary_location":{"id":"doi:10.1137/080715883","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080715883","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":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5027426452","display_name":"Alain Bensoussan","orcid":"https://orcid.org/0000-0003-2465-1249"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alain Bensoussan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9167,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.88364845,"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":"756","last_page":"762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9807000160217285,"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":0.9807000160217285,"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/T12288","display_name":"Optimization and Search Problems","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"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":0.7941502332687378},{"id":"https://openalex.org/keywords/jump-diffusion","display_name":"Jump diffusion","score":0.7522804737091064},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.7008987665176392},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6814050674438477},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.6673809885978699},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6287207007408142},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.6119385361671448},{"id":"https://openalex.org/keywords/compound-poisson-process","display_name":"Compound Poisson process","score":0.5911966562271118},{"id":"https://openalex.org/keywords/jump-process","display_name":"Jump process","score":0.5813390612602234},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5385488271713257},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.5234529376029968},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.49027398228645325},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.47014978528022766},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.46286922693252563},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4517310857772827},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3999210596084595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25353994965553284},{"id":"https://openalex.org/keywords/innovation-diffusion","display_name":"Innovation diffusion","score":0.20415756106376648},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11092886328697205},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10279396176338196}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7941502332687378},{"id":"https://openalex.org/C2779664328","wikidata":"https://www.wikidata.org/wiki/Q6311158","display_name":"Jump diffusion","level":3,"score":0.7522804737091064},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7008987665176392},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6814050674438477},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6673809885978699},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6287207007408142},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.6119385361671448},{"id":"https://openalex.org/C133338972","wikidata":"https://www.wikidata.org/wiki/Q2055750","display_name":"Compound Poisson process","level":4,"score":0.5911966562271118},{"id":"https://openalex.org/C2776825372","wikidata":"https://www.wikidata.org/wiki/Q3922411","display_name":"Jump process","level":3,"score":0.5813390612602234},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5385488271713257},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.5234529376029968},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.49027398228645325},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.47014978528022766},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.46286922693252563},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4517310857772827},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3999210596084595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25353994965553284},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.20415756106376648},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11092886328697205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10279396176338196},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080715883","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080715883","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2057097347"],"related_works":["https://openalex.org/W3190506321","https://openalex.org/W2648988829","https://openalex.org/W362430865","https://openalex.org/W2370352227","https://openalex.org/W2288042208","https://openalex.org/W3216016133","https://openalex.org/W4256090135","https://openalex.org/W2373216014","https://openalex.org/W2118573305","https://openalex.org/W2389631010"],"abstract_inverted_index":{"This":[0,66],"paper":[1,4,67],"revisits":[2],"the":[3,47,54,57],"of":[5,24],"Bensoussan,":[6],"Liu,":[7],"and":[8,28],"Sethi":[9],"where":[10,19,56],"they":[11],"proposed":[12],"a":[13,22,25,29,37],"single":[14],"item":[15],"continuous-time":[16],"inventory":[17],"model":[18],"demand":[20],"is":[21,44],"mixture":[23],"diffusion":[26],"process":[27],"compound":[30],"Poisson":[31],"process.":[32],"They":[33],"showed":[34],"that":[35],"in":[36],"continuous":[38],"review":[39],"setting":[40],"an":[41],"$(s,S)$":[42],"policy":[43],"optimal":[45],"when":[46],"jump":[48,58],"sizes":[49,59],"are":[50,60],"exponentially":[51],"distributed.":[52],"However,":[53],"case":[55],"general":[61],"was":[62],"not":[63],"solved":[64],"completely.":[65],"solves":[68],"this":[69],"case.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
