{"id":"https://openalex.org/W1985932945","doi":"https://doi.org/10.1016/0167-6377(93)90003-y","title":"Subgradient decomposition and differentiability of the recourse function of a two stage stochastic linear program","display_name":"Subgradient decomposition and differentiability of the recourse function of a two stage stochastic linear program","publication_year":1993,"publication_date":"1993-04-01","ids":{"openalex":"https://openalex.org/W1985932945","doi":"https://doi.org/10.1016/0167-6377(93)90003-y","mag":"1985932945"},"language":"en","primary_location":{"id":"doi:10.1016/0167-6377(93)90003-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-6377(93)90003-y","pdf_url":null,"source":{"id":"https://openalex.org/S27769002","display_name":"Operations Research Letters","issn_l":"0167-6377","issn":["0167-6377","1872-7468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Letters","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/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":true,"raw_author_name":"Suvrajeet Sen","raw_affiliation_strings":["SIE Dept. University of Arizona, Tucson, AZ 85721, USA","SIE Dept. University of Arizona, Tucson, AZ 85721, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"SIE Dept. University of Arizona, Tucson, AZ 85721, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"SIE Dept. University of Arizona, Tucson, AZ 85721, USA#TAB#","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026466952"],"corresponding_institution_ids":["https://openalex.org/I138006243"],"apc_list":{"value":2760,"currency":"USD","value_usd":2760},"apc_paid":null,"fwci":0.4523,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.60109622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"143","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980999827384949,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9975000023841858,"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/subgradient-method","display_name":"Subgradient method","score":0.7887551784515381},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7770466804504395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.688697874546051},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5054910182952881},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4998209476470947},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.48775631189346313},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4634442627429962},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.45062074065208435},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4234517514705658},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42311882972717285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20206186175346375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15701386332511902}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7887551784515381},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7770466804504395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.688697874546051},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5054910182952881},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4998209476470947},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.48775631189346313},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4634442627429962},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.45062074065208435},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4234517514705658},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42311882972717285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20206186175346375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15701386332511902},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-6377(93)90003-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-6377(93)90003-y","pdf_url":null,"source":{"id":"https://openalex.org/S27769002","display_name":"Operations Research Letters","issn_l":"0167-6377","issn":["0167-6377","1872-7468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1738394416","https://openalex.org/W1969095781","https://openalex.org/W1980247637","https://openalex.org/W2038426159","https://openalex.org/W2040358553","https://openalex.org/W2054110366","https://openalex.org/W2078783008","https://openalex.org/W2090787683","https://openalex.org/W2143863355","https://openalex.org/W2502170570","https://openalex.org/W2912091644","https://openalex.org/W3138729395","https://openalex.org/W4251495539","https://openalex.org/W4298380944","https://openalex.org/W6645322991"],"related_works":["https://openalex.org/W2359120930","https://openalex.org/W2037613239","https://openalex.org/W2000743687","https://openalex.org/W2781777036","https://openalex.org/W2390469630","https://openalex.org/W4318598368","https://openalex.org/W2382905498","https://openalex.org/W1585941908","https://openalex.org/W3022460320","https://openalex.org/W2029226820"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}