{"id":"https://openalex.org/W3120005744","doi":"https://doi.org/10.1137/19m1299244","title":"Impulse Control with Discontinuous Setup Costs: Discounted Cost Criterion","display_name":"Impulse Control with Discontinuous Setup Costs: Discounted Cost Criterion","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3120005744","doi":"https://doi.org/10.1137/19m1299244","mag":"3120005744"},"language":"en","primary_location":{"id":"doi:10.1137/19m1299244","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1299244","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/A5101064530","display_name":"XU Fen","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fen Xu","raw_affiliation_strings":["Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China; School of Mathematical Sciences,","University of Chinese Academy of Sciences, Beijing 100049, China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China; School of Mathematical Sciences,","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053767105","display_name":"Dacheng Yao","orcid":"https://orcid.org/0000-0001-5893-5595"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dacheng Yao","raw_affiliation_strings":["Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China; Key Laboratory of Management, Decision and Information Systems,","Chinese Academy of Sciences, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China; Key Laboratory of Management, Decision and Information Systems,","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102976329","display_name":"Hanqin Zhang","orcid":"https://orcid.org/0000-0003-3539-8146"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Hanqin Zhang","raw_affiliation_strings":["Department of Analytics & Operations, National University of Singapore, 119245, Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Analytics & Operations, National University of Singapore, 119245, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101064530"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.8722,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76990625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"59","issue":"1","first_page":"267","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9901999831199646,"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/T12617","display_name":"Energy, Environment, and Transportation Policies","score":0.9523000121116638,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7004191279411316},{"id":"https://openalex.org/keywords/impulse-control","display_name":"Impulse control","score":0.619663655757904},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5772377252578735},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5606579184532166},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5367658734321594},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5062040686607361},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5052948594093323},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4416591227054596},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4156331717967987},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4130135178565979},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36240553855895996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3549916744232178},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2078656554222107},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.15116208791732788},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0732153058052063}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7004191279411316},{"id":"https://openalex.org/C3018727167","wikidata":"https://www.wikidata.org/wiki/Q6033829","display_name":"Impulse control","level":2,"score":0.619663655757904},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5772377252578735},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5606579184532166},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5367658734321594},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5062040686607361},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5052948594093323},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4416591227054596},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4156331717967987},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4130135178565979},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36240553855895996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3549916744232178},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2078656554222107},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.15116208791732788},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0732153058052063},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1299244","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1299244","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":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2034396853","display_name":null,"funder_award_id":"11771432","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3177348782","display_name":null,"funder_award_id":"11871461","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5866076622","display_name":null,"funder_award_id":"11401566","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W595261151","https://openalex.org/W981235990","https://openalex.org/W1490760762","https://openalex.org/W1843140841","https://openalex.org/W1971766344","https://openalex.org/W2018328814","https://openalex.org/W2038718027","https://openalex.org/W2049461017","https://openalex.org/W2057097347","https://openalex.org/W2071191354","https://openalex.org/W2080461826","https://openalex.org/W2081766885","https://openalex.org/W2109595427","https://openalex.org/W2130873555","https://openalex.org/W2162094362","https://openalex.org/W2171320369","https://openalex.org/W2287641512","https://openalex.org/W2523357553","https://openalex.org/W2549872480","https://openalex.org/W2756974122","https://openalex.org/W2782487780","https://openalex.org/W2884961801","https://openalex.org/W2963941385","https://openalex.org/W2964168268","https://openalex.org/W3103774860","https://openalex.org/W3125844886","https://openalex.org/W3216016133","https://openalex.org/W4253453450"],"related_works":["https://openalex.org/W2284504457","https://openalex.org/W3024978002","https://openalex.org/W4297085311","https://openalex.org/W2559793102","https://openalex.org/W2474566332","https://openalex.org/W2327655907","https://openalex.org/W958799247","https://openalex.org/W4383557691","https://openalex.org/W4206150742","https://openalex.org/W4241548059"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"a":[3,44,48,59,132,163,179,196],"continuous-review":[4],"backlogged":[5],"inventory":[6],"model":[7],"considered":[8],"by":[9,43,70,213],"[K.":[10],"L.":[11],"Helmes,":[12,71],"R.":[13],"H.":[14],"Stockbridge,":[15,72],"and":[16,47,73,151],"C.":[17],"Zhu,":[18],"SIAM":[19],"J.":[20],"Control.":[21],"Optim.,":[22],"53":[23],"(2015),":[24],"pp.":[25],"2100--2140]":[26],"but":[27,126],"with":[28,79],"discontinuous":[29],"quantity-dependent":[30],"setup":[31,39,77],"cost":[32,40,50,78,82],"for":[33,75,122,137,149,157,185],"each":[34],"order.":[35],"In":[36,107],"particular,":[37,108],"the":[38,55,63,66,80,100,138,171,190,214],"is":[41,94,120,128,162,192],"characterized":[42],"two-step":[45],"function":[46,165],"higher":[49],"would":[51],"be":[52,105,205],"charged":[53],"once":[54],"order":[56],"quantity":[57],"exceeds":[58],"threshold":[60],"$Q$.":[61],"Unlike":[62],"optimality":[64,172,191],"of":[65,166,173,182],"$(s,S)$-type":[67,92,101],"policy":[68,93,102,119,136,177],"obtained":[69,193],"Zhu":[74],"continuous":[76],"discounted":[81],"criterion,":[83],"we":[84,109],"find":[85],"that,":[86],"in":[87,97,115,178,207],"our":[88],"model,":[89],"although":[90],"some":[91,98,123,209],"indeed":[95],"optimal":[96,121],"cases,":[99],"cannot":[103],"always":[104],"optimal.":[106],"show":[110],"that":[111],"there":[112],"exist":[113],"cases":[114],"which":[116,202],"an":[117],"$(s,S)$":[118],"initial":[124,140,187],"levels":[125],"it":[127,146],"strictly":[129],"worse":[130],"than":[131],"generalized":[133],"$(s,\\{S(x):x\\leq":[134,143,175],"s\\})$":[135,144,176],"other":[139,210],"levels.":[141,188],"Under":[142],"policy,":[145],"orders":[147,152],"nothing":[148],"$x>s$":[150],"up":[153],"to":[154],"level":[155],"$S(x)$":[156,161],"$x\\leq":[158],"s$,":[159],"where":[160],"nonconstant":[164],"$x$.":[167],"We":[168],"further":[169],"prove":[170],"such":[174],"large":[180],"subset":[181],"admissible":[183],"policies":[184],"those":[186],"Moreover,":[189],"through":[194],"establishing":[195],"more":[197],"general":[198],"lower":[199,215],"bound":[200,216],"theorem":[201],"will":[203],"also":[204],"applicable":[206],"solving":[208],"optimization":[211],"problems":[212],"approach.":[217]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
