{"id":"https://openalex.org/W2007502743","doi":"https://doi.org/10.1007/s10107-003-0496-1","title":"Duality gaps in nonconvex stochastic optimization","display_name":"Duality gaps in nonconvex stochastic optimization","publication_year":2004,"publication_date":"2004-02-06","ids":{"openalex":"https://openalex.org/W2007502743","doi":"https://doi.org/10.1007/s10107-003-0496-1","mag":"2007502743"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-003-0496-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0496-1","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.18452/2618","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111666155","display_name":"Darinka Dentcheva","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Darinka Dentcheva","raw_affiliation_strings":["Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, U.S.A","Stevens Institute of Technology, Department of Mathematical Sciences, 07030, Hoboken, NJ, U.S.A#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, U.S.A","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology, Department of Mathematical Sciences, 07030, Hoboken, NJ, U.S.A#TAB#","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105839912","display_name":"Werner R\ufffdmisch","orcid":null},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Werner R\ufffdmisch","raw_affiliation_strings":["Humboldt University Berlin, Institute of Mathematics, Department of Mathematical Sciences, D-10099, Berlin, NJ, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Humboldt University Berlin, Institute of Mathematics, Department of Mathematical Sciences, D-10099, Berlin, NJ, Germany#TAB#","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111666155"],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.145,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.93854026,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"101","issue":"3","first_page":"515","last_page":"535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9987999796867371,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.8268980979919434},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.8020259141921997},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7714201807975769},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6694209575653076},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.6157399415969849},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.6104673147201538},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48175716400146484},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42902377247810364},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4252021908760071},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3399335443973541},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2588893473148346},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19546958804130554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06324487924575806}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.8268980979919434},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.8020259141921997},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7714201807975769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6694209575653076},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.6157399415969849},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.6104673147201538},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48175716400146484},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42902377247810364},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4252021908760071},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3399335443973541},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2588893473148346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19546958804130554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06324487924575806},{"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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10107-003-0496-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0496-1","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.3507","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.3507","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-iam.mathematik.hu-berlin.de/~romisch/papers/DeRo04.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.hu-berlin.de:18452/3270","is_oa":false,"landing_page_url":"http://edoc.hu-berlin.de/18452/3270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"book"},{"id":"pmh:oai:edoc.hu-berlin.de:18452/8929","is_oa":false,"landing_page_url":"http://edoc.hu-berlin.de/18452/8929","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"book"},{"id":"doi:10.18452/2618","is_oa":true,"landing_page_url":"https://doi.org/10.18452/2618","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.18452/8277","is_oa":true,"landing_page_url":"https://doi.org/10.18452/8277","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.18452/2618","is_oa":true,"landing_page_url":"https://doi.org/10.18452/2618","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W41554995","https://openalex.org/W1507045955","https://openalex.org/W1528821229","https://openalex.org/W1553702074","https://openalex.org/W1569990960","https://openalex.org/W1669104078","https://openalex.org/W1788374662","https://openalex.org/W1963547452","https://openalex.org/W1964934516","https://openalex.org/W1969007958","https://openalex.org/W1989023497","https://openalex.org/W1989778318","https://openalex.org/W1991482609","https://openalex.org/W1991716092","https://openalex.org/W2000354435","https://openalex.org/W2001962902","https://openalex.org/W2003657040","https://openalex.org/W2015138895","https://openalex.org/W2031451726","https://openalex.org/W2038027425","https://openalex.org/W2055427220","https://openalex.org/W2061272534","https://openalex.org/W2082991255","https://openalex.org/W2086832561","https://openalex.org/W2094721569","https://openalex.org/W2100760548","https://openalex.org/W2123362433","https://openalex.org/W2126419180","https://openalex.org/W2132388847","https://openalex.org/W2154034653","https://openalex.org/W4242130683","https://openalex.org/W4247489173","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W2593555778","https://openalex.org/W2121876331","https://openalex.org/W2201555914","https://openalex.org/W2725387418","https://openalex.org/W2614523486","https://openalex.org/W2089739134","https://openalex.org/W640885572","https://openalex.org/W4220928172","https://openalex.org/W2046743339","https://openalex.org/W2091041828"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
