{"id":"https://openalex.org/W2738246784","doi":"https://doi.org/10.1007/s10287-018-0315-z","title":"Higher-order total variation bounds for expectations of periodic functions and simple integer recourse approximations","display_name":"Higher-order total variation bounds for expectations of periodic functions and simple integer recourse approximations","publication_year":2018,"publication_date":"2018-05-17","ids":{"openalex":"https://openalex.org/W2738246784","doi":"https://doi.org/10.1007/s10287-018-0315-z","mag":"2738246784"},"language":"en","primary_location":{"id":"doi:10.1007/s10287-018-0315-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-018-0315-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-018-0315-z.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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 Management Science","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/s10287-018-0315-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040965770","display_name":"Niels van der Laan","orcid":"https://orcid.org/0000-0002-8045-4517"},"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":"Niels van der Laan","raw_affiliation_strings":["Department of Operations, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Operations, University of Groningen, P.O. Box 800, 9700 AV, 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":["Department of Operations, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Operations, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072831234","display_name":"Maarten H. van der Vlerk","orcid":null},"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":"Maarten H. van der Vlerk","raw_affiliation_strings":["Department of Operations, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Operations, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040965770"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.2199,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.57614986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"3-4","first_page":"325","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9994000196456909,"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":0.9994000196456909,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9940000176429749,"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/T10969","display_name":"Water resources management and optimization","score":0.9865000247955322,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/simple","display_name":"Simple (philosophy)","score":0.7693064212799072},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.698296070098877},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6568863391876221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6044474840164185},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.5981553792953491},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5962384939193726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47112274169921875},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45479822158813477},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2249598205089569},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.18969488143920898},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.07889312505722046},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07847291231155396}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7693064212799072},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.698296070098877},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6568863391876221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6044474840164185},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.5981553792953491},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5962384939193726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47112274169921875},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45479822158813477},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2249598205089569},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.18969488143920898},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.07889312505722046},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07847291231155396},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10287-018-0315-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-018-0315-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-018-0315-z.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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 Management Science","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:publications/7c491278-fef0-476b-8423-7211421e6aaa","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/7c491278-fef0-476b-8423-7211421e6aaa","pdf_url":"https://pure.rug.nl/ws/files/66259015/Laan2018_Article_Higher_orderTotalVariationBoun.pdf","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 der Laan, N, Romeijnders, W & van der Vlerk, M H 2018, 'Higher-order total variation bounds for expectations of periodic functions and simple integer recourse approximations', Computational Management Science, vol. 15, no. 3-4, pp. 325-349. https://doi.org/10.1007/s10287-018-0315-z","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:spr:comgts:v:15:y:2018:i:3:d:10.1007_s10287-018-0315-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10287-018-0315-z","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"}],"best_oa_location":{"id":"doi:10.1007/s10287-018-0315-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-018-0315-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-018-0315-z.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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 Management Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320933","display_name":"Rijksuniversiteit Groningen","ror":"https://ror.org/012p63287"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2738246784.pdf","grobid_xml":"https://content.openalex.org/works/W2738246784.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W229300124","https://openalex.org/W283844134","https://openalex.org/W1480364293","https://openalex.org/W1501922675","https://openalex.org/W1539454454","https://openalex.org/W1541527977","https://openalex.org/W1569990960","https://openalex.org/W1964974282","https://openalex.org/W1982737192","https://openalex.org/W1983688269","https://openalex.org/W1992181083","https://openalex.org/W2010032742","https://openalex.org/W2055427220","https://openalex.org/W2100387313","https://openalex.org/W2114723402","https://openalex.org/W2115207529","https://openalex.org/W2117784255","https://openalex.org/W2128369242","https://openalex.org/W2135791976","https://openalex.org/W2138067268","https://openalex.org/W2161218010","https://openalex.org/W2288276805","https://openalex.org/W2495956339","https://openalex.org/W2522056961","https://openalex.org/W4247165901"],"related_works":["https://openalex.org/W2386430105","https://openalex.org/W2356521405","https://openalex.org/W2384358604","https://openalex.org/W2038534795","https://openalex.org/W1567829292","https://openalex.org/W3001063351","https://openalex.org/W3196905815","https://openalex.org/W2351370765","https://openalex.org/W4287703172","https://openalex.org/W4388201810"],"abstract_inverted_index":{"We":[0],"derive":[1,46,99],"bounds":[2,26,48,65,94,102],"on":[3],"the":[4,13,20,70],"expectation":[5],"of":[6,9,16,19,33,52,63,73,106],"a":[7,28,61],"class":[8],"periodic":[10],"functions":[11],"using":[12],"total":[14,71,88],"variations":[15,72,89],"higher-order":[17,75],"derivatives":[18,76],"underlying":[21],"probability":[22],"density":[23],"function.":[24],"These":[25],"are":[27,77],"strict":[29],"improvement":[30],"over":[31],"those":[32],"Romeijnders":[34],"et":[35],"al.":[36],"(Math":[37],"Program":[38],"157:3\u201346,":[39],"2016b),":[40],"and":[41],"we":[42,59],"use":[43],"them":[44],"to":[45,98],"error":[47,64,83,101],"for":[49,103],"convex":[50,104],"approximations":[51,105],"simple":[53],"integer":[54,112],"recourse":[55,109],"models.":[56],"In":[57],"fact,":[58],"obtain":[60],"hierarchy":[62],"that":[66],"become":[67,90],"tighter":[68,100],"if":[69,86],"additional":[74],"taken":[78],"into":[79],"account.":[80],"Moreover,":[81],"each":[82],"bound":[84],"decreases":[85],"these":[87],"smaller.":[91],"The":[92],"improved":[93],"may":[95],"be":[96],"used":[97],"more":[107],"general":[108],"models":[110],"involving":[111],"decision":[113],"variables.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2017-07-31T00:00:00"}