{"id":"https://openalex.org/W4391785341","doi":"https://doi.org/10.1007/s10589-024-00555-x","title":"Convex approximations of two-stage risk-averse mixed-integer recourse models","display_name":"Convex approximations of two-stage risk-averse mixed-integer recourse models","publication_year":2024,"publication_date":"2024-02-13","ids":{"openalex":"https://openalex.org/W4391785341","doi":"https://doi.org/10.1007/s10589-024-00555-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-024-00555-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00555-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00555-x.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00555-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058006530","display_name":"E. Ruben van Beesten","orcid":"https://orcid.org/0000-0002-3900-2156"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"E. Ruben van Beesten","raw_affiliation_strings":["Faculty of Economics and Business, University of Groningen, Nettelbosje 2, 9747 AE, Groningen, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-3900-2156","affiliations":[{"raw_affiliation_string":"Faculty of Economics and Business, University of Groningen, Nettelbosje 2, 9747 AE, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069714410","display_name":"Ward Romeijnders","orcid":"https://orcid.org/0000-0002-6918-5635"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ward Romeijnders","raw_affiliation_strings":["Faculty of Economics and Business, University of Groningen, Nettelbosje 2, 9747 AE, Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Economics and Business, University of Groningen, Nettelbosje 2, 9747 AE, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005015418","display_name":"Kees Jan Roodbergen","orcid":"https://orcid.org/0000-0002-4083-2106"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Kees Jan Roodbergen","raw_affiliation_strings":["Faculty of Economics and Business, University of Groningen, Nettelbosje 2, 9747 AE, Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Economics and Business, University of Groningen, Nettelbosje 2, 9747 AE, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058006530"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.4693,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62040272,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"88","issue":"1","first_page":"313","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7921580672264099},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6029813289642334},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5988664627075195},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5369064807891846},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5332481861114502},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4824731647968292},{"id":"https://openalex.org/keywords/stage","display_name":"Stage (stratigraphy)","score":0.45534548163414},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4338446855545044},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.39898350834846497},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3664781451225281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10419604182243347}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7921580672264099},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6029813289642334},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5988664627075195},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5369064807891846},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5332481861114502},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4824731647968292},{"id":"https://openalex.org/C146357865","wikidata":"https://www.wikidata.org/wiki/Q1123245","display_name":"Stage (stratigraphy)","level":2,"score":0.45534548163414},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4338446855545044},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.39898350834846497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3664781451225281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10419604182243347},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10589-024-00555-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00555-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00555-x.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:pure.eur.nl:openaire/6c8fe572-05f3-47c1-9995-3836d4aa4dec","is_oa":true,"landing_page_url":"https://pure.eur.nl/en/publications/6c8fe572-05f3-47c1-9995-3836d4aa4dec","pdf_url":null,"source":{"id":"https://openalex.org/S4306401266","display_name":"EUR Research Repository (Erasmus University Rotterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I913958620","host_organization_name":"Erasmus University Rotterdam","host_organization_lineage":["https://openalex.org/I913958620"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van Beesten, E R, Romeijnders, W & Roodbergen, K J 2024, 'Convex approximations of two-stage risk-averse mixed-integer recourse models', Computational Optimization and Applications, vol. 88, no. 1, pp. 313-347. https://doi.org/10.1007/s10589-024-00555-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:openaire/ca7178d3-aa51-4815-93d3-2c896176e21d","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/ca7178d3-aa51-4815-93d3-2c896176e21d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van Beesten, E R, Romeijnders, W & Roodbergen, K J 2024, 'Convex approximations of two-stage risk-averse mixed-integer recourse models', Computational optimization and applications, vol. 88, pp. 313-347. https://doi.org/10.1007/s10589-024-00555-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:spr:coopap:v:88:y:2024:i:1:d:10.1007_s10589-024-00555-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-024-00555-x","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"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/ca7178d3-aa51-4815-93d3-2c896176e21d","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/ca7178d3-aa51-4815-93d3-2c896176e21d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"van Beesten, E R, Romeijnders, W & Roodbergen, K J 2024, 'Convex approximations of two-stage risk-averse mixed-integer recourse models', Computational optimization and applications, vol. 88, pp. 313-347. https://doi.org/10.1007/s10589-024-00555-x","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s10589-024-00555-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00555-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00555-x.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G7323714962","display_name":"Planning for the unknown. Towards optimal decisions under uncertainty.","funder_award_id":"451-17-034","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G7877951576","display_name":null,"funder_award_id":"451-17-034 4043","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320317273","display_name":"Lewy Body Dementia Association","ror":null},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391785341.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1569990960","https://openalex.org/W1591570634","https://openalex.org/W1964934516","https://openalex.org/W1983916623","https://openalex.org/W1992181083","https://openalex.org/W2008276232","https://openalex.org/W2009968931","https://openalex.org/W2015637491","https://openalex.org/W2019291268","https://openalex.org/W2043109565","https://openalex.org/W2045831570","https://openalex.org/W2068142192","https://openalex.org/W2072281788","https://openalex.org/W2109122936","https://openalex.org/W2114723402","https://openalex.org/W2127923765","https://openalex.org/W2128369242","https://openalex.org/W2134802631","https://openalex.org/W2138067268","https://openalex.org/W2145157516","https://openalex.org/W2147911217","https://openalex.org/W2153253993","https://openalex.org/W2153921194","https://openalex.org/W2288276805","https://openalex.org/W2319443578","https://openalex.org/W2346945665","https://openalex.org/W2522056961","https://openalex.org/W2730601814","https://openalex.org/W2738246784","https://openalex.org/W2972988602","https://openalex.org/W3145997355","https://openalex.org/W4293310480","https://openalex.org/W6890296237"],"related_works":["https://openalex.org/W2052299349","https://openalex.org/W1901944325","https://openalex.org/W4297728441","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W3153752017"],"abstract_inverted_index":{"Abstract":[0],"We":[1,51],"consider":[2],"two-stage":[3],"risk-averse":[4],"mixed-integer":[5],"recourse":[6],"models":[7,20],"with":[8],"law":[9],"invariant":[10],"coherent":[11],"risk":[12,73,201],"measures.":[13],"As":[14],"in":[15,59,105,177],"the":[16,28,32,60,70,85,99,102,106,156,187],"risk-neutral":[17],"case,":[18],"these":[19],"are":[21,124],"generally":[22],"non-convex":[23],"as":[24],"a":[25,47,53,128,168,183],"result":[26],"of":[27,62,72,101],"integer":[29],"restrictions":[30],"on":[31,69],"second-stage":[33,131],"decision":[34],"variables":[35],"and":[36,180],"hence,":[37],"hard":[38],"to":[39],"solve.":[40],"To":[41],"overcome":[42],"this":[43,57,143],"issue,":[44],"we":[45,114,145,166,181,192],"propose":[46],"convex":[48,175],"approximation":[49,58,93,161],"approach.":[50],"derive":[52,115],"performance":[54,184,211],"guarantee":[55,185],"for":[56,84,127,155,186,199],"form":[61],"an":[63,80,178],"asymptotic":[64],"error":[65,76,82,118,122,149,153],"bound,":[66,77],"which":[67,78,196],"depends":[68],"choice":[71],"measure.":[74],"This":[75],"extends":[79],"existing":[81],"bound":[83],"conditional":[86],"value":[87],"at":[88],"risk,":[89],"shows":[90],"that":[91,147,172,198],"our":[92,121,148,174,203,209],"method":[94],"works":[95,205],"particularly":[96],"well":[97],"if":[98],"distribution":[100],"random":[103],"parameters":[104],"model":[107],"is":[108],"highly":[109],"dispersed.":[110],"For":[111],"special":[112],"cases":[113],"tighter,":[116],"non-asymptotic":[117],"bounds.":[119],"Whereas":[120],"bounds":[123,150,154],"valid":[125],"only":[126],"continuously":[129],"distributed":[130],"right-hand":[132],"side":[133],"vector,":[134],"practical":[135],"optimization":[136],"methods":[137],"often":[138],"require":[139],"discrete":[140],"distributions.":[141],"In":[142,164],"context,":[144],"show":[146,197],"provide":[151,182],"statistical":[152],"corresponding":[157],"(discretized)":[158],"sample":[159],"average":[160],"(SAA)":[162],"model.":[163],"addition,":[165],"construct":[167],"Benders\u2019":[169],"decomposition":[170],"algorithm":[171,189],"uses":[173],"approximations":[176],"SAA-framework":[179],"resulting":[188],"solution.":[190],"Finally,":[191],"perform":[193],"numerical":[194],"experiments":[195],"certain":[200],"measures":[202],"approach":[204],"even":[206],"better":[207],"than":[208],"theoretical":[210],"guarantees":[212],"suggest.":[213]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-03T23:48:18.283914","created_date":"2024-02-14T00:00:00"}