{"id":"https://openalex.org/W2148819665","doi":"https://doi.org/10.1007/978-3-642-04918-7_6","title":"Iterative Relaxation-Based Heuristics for the Multiple-choice Multidimensional Knapsack Problem","display_name":"Iterative Relaxation-Based Heuristics for the Multiple-choice Multidimensional Knapsack Problem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2148819665","doi":"https://doi.org/10.1007/978-3-642-04918-7_6","mag":"2148819665"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04918-7_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04918-7_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5110933305","display_name":"Sa\u00efd Hanafi","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I59807433","display_name":"Universit\u00e9 Lille Nord de France","ror":"https://ror.org/03btvgn05","country_code":"FR","type":"education","lineage":["https://openalex.org/I59807433"]},{"id":"https://openalex.org/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806","https://openalex.org/I70348806"]},{"id":"https://openalex.org/I70348806","display_name":"Universit\u00e9 Polytechnique Hauts-de-France","ror":"https://ror.org/02ezch769","country_code":"FR","type":"education","lineage":["https://openalex.org/I70348806"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sa\u00efd Hanafi","raw_affiliation_strings":["CNRS, UMR 8530, F-59313, Valenciennes, France","UVHC, LAMIH, F-59313, Valenciennes, France","Univ Lille Nord de France, F-59000, Lille, France","CNRS, UMR 8530, Valenciennes, France","UVHC, LAMIH, Valenciennes, France","Univ Lille Nord de France, Lille, France"],"affiliations":[{"raw_affiliation_string":"CNRS, UMR 8530, F-59313, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617","https://openalex.org/I1294671590","https://openalex.org/I70348806"]},{"raw_affiliation_string":"UVHC, LAMIH, F-59313, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I4210089617"]},{"raw_affiliation_string":"Univ Lille Nord de France, F-59000, Lille, France","institution_ids":["https://openalex.org/I59807433","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"CNRS, UMR 8530, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UVHC, LAMIH, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617"]},{"raw_affiliation_string":"Univ Lille Nord de France, Lille, France","institution_ids":["https://openalex.org/I59807433","https://openalex.org/I2279609970"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024681223","display_name":"Ra\u00efd Mansi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806","https://openalex.org/I70348806"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I70348806","display_name":"Universit\u00e9 Polytechnique Hauts-de-France","ror":"https://ror.org/02ezch769","country_code":"FR","type":"education","lineage":["https://openalex.org/I70348806"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I59807433","display_name":"Universit\u00e9 Lille Nord de France","ror":"https://ror.org/03btvgn05","country_code":"FR","type":"education","lineage":["https://openalex.org/I59807433"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ra\u00efd Mansi","raw_affiliation_strings":["CNRS, UMR 8530, F-59313, Valenciennes, France","UVHC, LAMIH, F-59313, Valenciennes, France","Univ Lille Nord de France, F-59000, Lille, France","CNRS, UMR 8530, Valenciennes, France","Univ Lille Nord de France, Lille, France","UVHC, LAMIH, Valenciennes, France"],"affiliations":[{"raw_affiliation_string":"CNRS, UMR 8530, F-59313, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617","https://openalex.org/I1294671590","https://openalex.org/I70348806"]},{"raw_affiliation_string":"UVHC, LAMIH, F-59313, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I4210089617"]},{"raw_affiliation_string":"Univ Lille Nord de France, F-59000, Lille, France","institution_ids":["https://openalex.org/I59807433","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"CNRS, UMR 8530, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Univ Lille Nord de France, Lille, France","institution_ids":["https://openalex.org/I59807433","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"UVHC, LAMIH, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012875175","display_name":"Christophe Wilbaut","orcid":"https://orcid.org/0000-0003-1250-7792"},"institutions":[{"id":"https://openalex.org/I70348806","display_name":"Universit\u00e9 Polytechnique Hauts-de-France","ror":"https://ror.org/02ezch769","country_code":"FR","type":"education","lineage":["https://openalex.org/I70348806"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806","https://openalex.org/I70348806"]},{"id":"https://openalex.org/I59807433","display_name":"Universit\u00e9 Lille Nord de France","ror":"https://ror.org/03btvgn05","country_code":"FR","type":"education","lineage":["https://openalex.org/I59807433"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Wilbaut","raw_affiliation_strings":["CNRS, UMR 8530, F-59313, Valenciennes, France","UVHC, LAMIH, F-59313, Valenciennes, France","Univ Lille Nord de France, F-59000, Lille, France","Univ Lille Nord de France, Lille, France","CNRS, UMR 8530, Valenciennes, France","UVHC, LAMIH, Valenciennes, France"],"affiliations":[{"raw_affiliation_string":"CNRS, UMR 8530, F-59313, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617","https://openalex.org/I1294671590","https://openalex.org/I70348806"]},{"raw_affiliation_string":"UVHC, LAMIH, F-59313, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I4210089617"]},{"raw_affiliation_string":"Univ Lille Nord de France, F-59000, Lille, France","institution_ids":["https://openalex.org/I59807433","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"Univ Lille Nord de France, Lille, France","institution_ids":["https://openalex.org/I59807433","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"CNRS, UMR 8530, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UVHC, LAMIH, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110933305"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4210089617","https://openalex.org/I59807433","https://openalex.org/I70348806"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9145,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89280303,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"73","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9998999834060669,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9998999834060669,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9923999905586243,"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/T12288","display_name":"Optimization and Search Problems","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.8833179473876953},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.8203356266021729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7233908176422119},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.711114764213562},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6874006986618042},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.686629056930542},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.55076664686203},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5138769149780273},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.48523616790771484},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.43327462673187256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3537266254425049},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21131396293640137}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.8833179473876953},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8203356266021729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7233908176422119},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.711114764213562},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6874006986618042},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.686629056930542},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.55076664686203},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5138769149780273},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.48523616790771484},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.43327462673187256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3537266254425049},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21131396293640137},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-04918-7_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04918-7_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W142750658","https://openalex.org/W1561560534","https://openalex.org/W1591233664","https://openalex.org/W1608777039","https://openalex.org/W2004489140","https://openalex.org/W2006738678","https://openalex.org/W2032107708","https://openalex.org/W2037490069","https://openalex.org/W2062479871","https://openalex.org/W2066635774","https://openalex.org/W2067509362","https://openalex.org/W2080988231","https://openalex.org/W2086168649","https://openalex.org/W2102019950","https://openalex.org/W2112496246","https://openalex.org/W2118627751","https://openalex.org/W2132176695","https://openalex.org/W2135814502","https://openalex.org/W2147414046","https://openalex.org/W2171590590","https://openalex.org/W2171682893","https://openalex.org/W4232585008","https://openalex.org/W4248841288"],"related_works":["https://openalex.org/W241127407","https://openalex.org/W2381035939","https://openalex.org/W2468477307","https://openalex.org/W2910645127","https://openalex.org/W162895179","https://openalex.org/W1521824362","https://openalex.org/W2168163332","https://openalex.org/W3177799343","https://openalex.org/W3119198325","https://openalex.org/W623642078"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}