{"id":"https://openalex.org/W2057459863","doi":"https://doi.org/10.1007/s10107-008-0254-5","title":"Multi-phase dynamic constraint aggregation for set partitioning type problems","display_name":"Multi-phase dynamic constraint aggregation for set partitioning type problems","publication_year":2008,"publication_date":"2008-11-13","ids":{"openalex":"https://openalex.org/W2057459863","doi":"https://doi.org/10.1007/s10107-008-0254-5","mag":"2057459863"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-008-0254-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-008-0254-5","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/A5041921413","display_name":"Issmail Elhallaoui","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA","FR"],"is_corresponding":false,"raw_author_name":"Issmail Elhallaoui","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108783890","display_name":"Abdelmoutalib Metrane","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA","FR"],"is_corresponding":false,"raw_author_name":"Abdelmoutalib Metrane","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020333520","display_name":"Fran\u00e7ois Soumis","orcid":"https://orcid.org/0000-0002-4579-7696"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA","FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Soumis","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I45683168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020707737","display_name":"Guy Desaulniers","orcid":"https://orcid.org/0000-0003-4469-9813"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA","FR"],"is_corresponding":true,"raw_author_name":"Guy Desaulniers","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montreal, QC, H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"\u00c9cole Polytechnique and GERAD, D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, C.P. 6079, Succ. Centre-Ville, H3C 3A7, Montreal, QC, Canada#TAB#","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020707737"],"corresponding_institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210133247","https://openalex.org/I45683168"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":8.3692,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.9699442,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"123","issue":"2","first_page":"345","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9995999932289124,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6939215660095215},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5938758850097656},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5869952440261841},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5711860060691833},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.553517758846283},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5107083320617676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4593925476074219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4532625675201416},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.43752801418304443},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.4364243149757385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3560068607330322},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.30804774165153503},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.07079511880874634}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6939215660095215},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5938758850097656},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5869952440261841},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5711860060691833},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.553517758846283},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5107083320617676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4593925476074219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4532625675201416},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.43752801418304443},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.4364243149757385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3560068607330322},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.30804774165153503},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.07079511880874634},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-008-0254-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-008-0254-5","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:publications.polymtl.ca:18359","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/18359/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W311217234","https://openalex.org/W1969211250","https://openalex.org/W1971258090","https://openalex.org/W1986414193","https://openalex.org/W1993746545","https://openalex.org/W2003066927","https://openalex.org/W2007786724","https://openalex.org/W2011959190","https://openalex.org/W2013327579","https://openalex.org/W2017497050","https://openalex.org/W2023008422","https://openalex.org/W2040678783","https://openalex.org/W2047953381","https://openalex.org/W2053732480","https://openalex.org/W2058495351","https://openalex.org/W2082824470","https://openalex.org/W2088128439","https://openalex.org/W2101011973","https://openalex.org/W2102962763","https://openalex.org/W2128968951","https://openalex.org/W2139211712","https://openalex.org/W2159784590","https://openalex.org/W2170021258","https://openalex.org/W2170216278","https://openalex.org/W2326954772","https://openalex.org/W2408262133","https://openalex.org/W3195334674","https://openalex.org/W4232237275","https://openalex.org/W4242130683"],"related_works":["https://openalex.org/W2118249115","https://openalex.org/W2569549435","https://openalex.org/W2091348864","https://openalex.org/W2784687883","https://openalex.org/W4303044088","https://openalex.org/W96881443","https://openalex.org/W2216566009","https://openalex.org/W2141935412","https://openalex.org/W2140769824","https://openalex.org/W2139423517"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
