{"id":"https://openalex.org/W2002982431","doi":"https://doi.org/10.1007/s10479-006-6165-z","title":"Multistage stochastic convex programs: Duality and its implications","display_name":"Multistage stochastic convex programs: Duality and its implications","publication_year":2006,"publication_date":"2006-02-01","ids":{"openalex":"https://openalex.org/W2002982431","doi":"https://doi.org/10.1007/s10479-006-6165-z","mag":"2002982431"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-006-6165-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-006-6165-z","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","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/A5034401930","display_name":"Julia L. Higle","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julia L. Higle","raw_affiliation_strings":["SIE Dept. University of Arizona, Tucson, AZ, 85721","SIE Dept. University of Arizona, Tucson,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SIE Dept. University of Arizona, Tucson, AZ, 85721","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"SIE Dept. University of Arizona, Tucson,","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026466952","display_name":"Suvrajeet Sen","orcid":"https://orcid.org/0000-0002-6285-8833"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Suvrajeet Sen","raw_affiliation_strings":["SIE Dept. University of Arizona, Tucson, AZ, 85721","SIE Dept. University of Arizona, Tucson,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SIE Dept. University of Arizona, Tucson, AZ, 85721","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"SIE Dept. University of Arizona, Tucson,","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0119,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.75794124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"142","issue":"1","first_page":"129","last_page":"146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9968000054359436,"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":0.9959999918937683,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6117625832557678},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.610792875289917},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5764660835266113},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.5720801949501038},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5629572868347168},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5468435287475586},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49466535449028015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45002302527427673},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4306046664714813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4225846827030182},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.41455209255218506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1775839924812317},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12843382358551025}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6117625832557678},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.610792875289917},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5764660835266113},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.5720801949501038},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5629572868347168},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5468435287475586},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49466535449028015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45002302527427673},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4306046664714813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4225846827030182},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.41455209255218506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1775839924812317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12843382358551025},{"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},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10479-006-6165-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-006-6165-z","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.597.5154","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.597.5154","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://edoc.hu-berlin.de/series/speps/2002-2/PDF/2.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:annopr:v:142:y:2006:i:1:p:129-146:10.1007/s10479-006-6165-z","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-006-6165-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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W570389583","https://openalex.org/W1496506618","https://openalex.org/W1511786623","https://openalex.org/W1551360398","https://openalex.org/W1967512593","https://openalex.org/W1969007958","https://openalex.org/W1969095781","https://openalex.org/W1977380350","https://openalex.org/W2008786845","https://openalex.org/W2019329666","https://openalex.org/W2038407338","https://openalex.org/W2052695292","https://openalex.org/W2088296482","https://openalex.org/W2097596248","https://openalex.org/W2100760548","https://openalex.org/W2102266280","https://openalex.org/W2114456743","https://openalex.org/W2118811599","https://openalex.org/W2129587297","https://openalex.org/W2132388847","https://openalex.org/W2186488410","https://openalex.org/W2912091644","https://openalex.org/W4236139273"],"related_works":["https://openalex.org/W175006096","https://openalex.org/W2029931673","https://openalex.org/W2994118822","https://openalex.org/W2086136595","https://openalex.org/W2005965064","https://openalex.org/W1973015798","https://openalex.org/W1518635954","https://openalex.org/W2599556035","https://openalex.org/W1976667494","https://openalex.org/W1590308505"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}