{"id":"https://openalex.org/W2508968471","doi":"https://doi.org/10.1137/15m1036233","title":"Semi-Infinite Relaxations for the Dynamic Knapsack Problem with Stochastic Item Sizes","display_name":"Semi-Infinite Relaxations for the Dynamic Knapsack Problem with Stochastic Item Sizes","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2508968471","doi":"https://doi.org/10.1137/15m1036233","mag":"2508968471"},"language":"en","primary_location":{"id":"doi:10.1137/15m1036233","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1036233","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 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/A5074047461","display_name":"Daniel Blado","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Daniel Blado","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102705898","display_name":"Weihong Hu","orcid":"https://orcid.org/0000-0002-1559-4134"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weihong Hu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081530725","display_name":"Alejandro Toriello","orcid":"https://orcid.org/0000-0002-3147-0764"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alejandro Toriello","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074047461"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0672,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88618144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"26","issue":"3","first_page":"1625","last_page":"1648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9998999834060669,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9991999864578247,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.9262579679489136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.774666965007782},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6918099522590637},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6025588512420654},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.5149751305580139},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5124576687812805},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5036389231681824},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.45530906319618225},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.45115339756011963},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.4275183379650116},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3889904022216797},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3243033289909363},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11495316028594971},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08827763795852661}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9262579679489136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.774666965007782},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6918099522590637},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6025588512420654},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.5149751305580139},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5124576687812805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5036389231681824},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.45530906319618225},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.45115339756011963},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.4275183379650116},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3889904022216797},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3243033289909363},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11495316028594971},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08827763795852661},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1036233","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1036233","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.703.587","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.587","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.isye.gatech.edu/%7Eatoriello3/knap_stoch_item.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W83112366","https://openalex.org/W1539454454","https://openalex.org/W1598272981","https://openalex.org/W1745373831","https://openalex.org/W1825072153","https://openalex.org/W1963610003","https://openalex.org/W1967232806","https://openalex.org/W1968143987","https://openalex.org/W1976174751","https://openalex.org/W1996837595","https://openalex.org/W2006618115","https://openalex.org/W2012493317","https://openalex.org/W2013304545","https://openalex.org/W2014423113","https://openalex.org/W2021328726","https://openalex.org/W2037448290","https://openalex.org/W2037684294","https://openalex.org/W2040766536","https://openalex.org/W2041025394","https://openalex.org/W2044081853","https://openalex.org/W2045043199","https://openalex.org/W2059128707","https://openalex.org/W2065139435","https://openalex.org/W2066671865","https://openalex.org/W2086499082","https://openalex.org/W2109336437","https://openalex.org/W2116283846","https://openalex.org/W2131552728","https://openalex.org/W2133997119","https://openalex.org/W2146390427","https://openalex.org/W2148849245","https://openalex.org/W2150597708","https://openalex.org/W2151786492","https://openalex.org/W2156293131","https://openalex.org/W2170412087","https://openalex.org/W2596682183"],"related_works":["https://openalex.org/W241127407","https://openalex.org/W2381035939","https://openalex.org/W2468477307","https://openalex.org/W2910645127","https://openalex.org/W162895179","https://openalex.org/W1521824362","https://openalex.org/W3177799343","https://openalex.org/W3119198325","https://openalex.org/W623642078","https://openalex.org/W3125085490"],"abstract_inverted_index":{"We":[0,54,81],"consider":[1],"a":[2,56,76,94,110],"version":[3],"of":[4,112,121],"the":[5,19,30,35,41,52,89,119],"knapsack":[6],"problem":[7],"in":[8],"which":[9],"an":[10,48,62,70],"item":[11,37],"size":[12],"is":[13,101],"random":[14],"and":[15,44,67,91,115],"revealed":[16],"only":[17],"when":[18],"decision":[20,31],"maker":[21,32],"attempts":[22],"to":[23,75,85],"insert":[24],"it.":[25],"After":[26],"every":[27],"successful":[28],"insertion":[29,50],"can":[33],"choose":[34],"next":[36],"dynamically":[38],"based":[39,60],"on":[40,61],"remaining":[42],"capacity":[43],"available":[45],"items,":[46],"while":[47],"unsuccessful":[49],"terminates":[51],"process.":[53],"propose":[55],"new":[57,104],"semi-infinite":[58],"relaxation":[59,73,105],"affine":[63],"value":[64,78],"function":[65,79],"approximation,":[66],"show":[68],"that":[69,102],"existing":[71],"pseudo-polynomial":[72],"corresponds":[74],"nonparametric":[77],"approximation.":[80],"compare":[82],"both":[83],"theoretically":[84],"other":[86],"relaxations":[87],"from":[88],"literature":[90],"also":[92],"perform":[93],"computational":[95],"study.":[96],"Our":[97],"main":[98],"empirical":[99],"conclusion":[100],"our":[103],"provides":[106],"tight":[107],"bounds":[108],"over":[109],"variety":[111],"different":[113],"instances":[114],"becomes":[116],"tighter":[117],"as":[118],"number":[120],"items":[122],"increases.":[123]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}