{"id":"https://openalex.org/W1980331059","doi":"https://doi.org/10.1007/bf01585552","title":"A cutting plane method from analytic centers for stochastic programming","display_name":"A cutting plane method from analytic centers for stochastic programming","publication_year":1995,"publication_date":"1995-07-01","ids":{"openalex":"https://openalex.org/W1980331059","doi":"https://doi.org/10.1007/bf01585552","mag":"1980331059"},"language":"en","primary_location":{"id":"doi:10.1007/bf01585552","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585552","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"],"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/A5058387675","display_name":"Olivier Bahn","orcid":"https://orcid.org/0000-0003-2935-1595"},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"O. Bahn","raw_affiliation_strings":["D\u00e9partement d'\u00c9conomie Commerciale et Industrielle, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'\u00c9conomie Commerciale et Industrielle, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland","institution_ids":["https://openalex.org/I114457229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012338655","display_name":"O. du Merle","orcid":null},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"O. du Merle","raw_affiliation_strings":["D\u00e9partement d'\u00c9conomie Commerciale et Industrielle, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'\u00c9conomie Commerciale et Industrielle, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland","institution_ids":["https://openalex.org/I114457229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081792425","display_name":"Jean\u2010Louis Goffin","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. -L. Goffin","raw_affiliation_strings":["GERAD, Faculty of Management, McGill University, Montreal, Canada","GERAD, Faculty of Management, McGill University, Montr\u00e9al, Canada"],"affiliations":[{"raw_affiliation_string":"GERAD, Faculty of Management, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"GERAD, Faculty of Management, McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651","https://openalex.org/I4210133247"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113460346","display_name":"J.\u2010P. Vial","orcid":null},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"J. -P. Vial","raw_affiliation_strings":["D\u00e9partement d'\u00c9conomie Commerciale et Industrielle, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'\u00c9conomie Commerciale et Industrielle, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland","institution_ids":["https://openalex.org/I114457229"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058387675"],"corresponding_institution_ids":["https://openalex.org/I114457229"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":8.9421,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.98375055,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"69","issue":"1-3","first_page":"45","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.9966999888420105,"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":0.7750035524368286},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7348827719688416},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6777894496917725},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.674375593662262},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5840777158737183},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5284247994422913},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5128195881843567},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49610742926597595},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4746344983577728},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4746078848838806},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4532332420349121},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.45049914717674255},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.43300485610961914},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.42509639263153076},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2980799674987793},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22643229365348816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20828929543495178},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.20466971397399902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12394392490386963}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7750035524368286},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7348827719688416},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6777894496917725},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.674375593662262},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5840777158737183},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5284247994422913},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5128195881843567},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49610742926597595},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4746344983577728},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4746078848838806},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4532332420349121},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.45049914717674255},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.43300485610961914},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.42509639263153076},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2980799674987793},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22643229365348816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20828929543495178},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.20466971397399902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12394392490386963},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01585552","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585552","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:10.1.1.55.8515","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.8515","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ecolu-info.unige.ch/~logilab/dumerle/Stochastic.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W133977063","https://openalex.org/W166751945","https://openalex.org/W171180563","https://openalex.org/W370143576","https://openalex.org/W983997444","https://openalex.org/W1488399212","https://openalex.org/W1514645957","https://openalex.org/W1965801249","https://openalex.org/W1970149184","https://openalex.org/W1973117121","https://openalex.org/W1975916211","https://openalex.org/W1980845317","https://openalex.org/W1983743030","https://openalex.org/W1984647185","https://openalex.org/W1987602884","https://openalex.org/W1991534386","https://openalex.org/W2003343162","https://openalex.org/W2005992544","https://openalex.org/W2010634113","https://openalex.org/W2013162809","https://openalex.org/W2014944169","https://openalex.org/W2022985590","https://openalex.org/W2031527878","https://openalex.org/W2036370633","https://openalex.org/W2036622774","https://openalex.org/W2038426159","https://openalex.org/W2044121814","https://openalex.org/W2054090890","https://openalex.org/W2059499240","https://openalex.org/W2064948689","https://openalex.org/W2069808690","https://openalex.org/W2070063615","https://openalex.org/W2070426678","https://openalex.org/W2081632040","https://openalex.org/W2083769181","https://openalex.org/W2116337907","https://openalex.org/W2118152326","https://openalex.org/W2127470768","https://openalex.org/W2138492203","https://openalex.org/W2143863355","https://openalex.org/W2306672949","https://openalex.org/W2482546531","https://openalex.org/W2489508639","https://openalex.org/W2499342028","https://openalex.org/W2502170570","https://openalex.org/W2526245011","https://openalex.org/W2611147814","https://openalex.org/W2912091644","https://openalex.org/W3021318926","https://openalex.org/W4242081728","https://openalex.org/W4251495539","https://openalex.org/W4301216918","https://openalex.org/W6667737036","https://openalex.org/W6668243145","https://openalex.org/W6987011815"],"related_works":["https://openalex.org/W2038141985","https://openalex.org/W2142695913","https://openalex.org/W2109445739","https://openalex.org/W2021079478","https://openalex.org/W2161798622","https://openalex.org/W1531708257","https://openalex.org/W3126345618","https://openalex.org/W1981191225","https://openalex.org/W566167518","https://openalex.org/W2010520994"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}