{"id":"https://openalex.org/W2080988231","doi":"https://doi.org/10.1057/palgrave.jors.2601796","title":"Heuristic algorithms for the multiple-choice multidimensional knapsack problem","display_name":"Heuristic algorithms for the multiple-choice multidimensional knapsack problem","publication_year":2004,"publication_date":"2004-07-14","ids":{"openalex":"https://openalex.org/W2080988231","doi":"https://doi.org/10.1057/palgrave.jors.2601796","mag":"2080988231"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2601796","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601796","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00125572","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108466060","display_name":"Mhand Hifi","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]},{"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/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M Hifi","raw_affiliation_strings":["CERMSEM-CNRS UMR 8095, Universite de Paris 1 Paris France","LaRIA, UPJV Amiens France"],"affiliations":[{"raw_affiliation_string":"CERMSEM-CNRS UMR 8095, Universite de Paris 1 Paris France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I51101395","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LaRIA, UPJV Amiens France","institution_ids":["https://openalex.org/I4647051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075116982","display_name":"Mustapha Michrafy","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M Michrafy","raw_affiliation_strings":["CERMSEM-CNRS UMR 8095, Universite de Paris 1 Paris France"],"affiliations":[{"raw_affiliation_string":"CERMSEM-CNRS UMR 8095, Universite de Paris 1 Paris France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I51101395","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050400917","display_name":"Abdelkader Sbihi","orcid":"https://orcid.org/0000-0002-5890-1667"},"institutions":[{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A Sbihi","raw_affiliation_strings":["LaRIA, UPJV Amiens France"],"affiliations":[{"raw_affiliation_string":"LaRIA, UPJV Amiens France","institution_ids":["https://openalex.org/I4647051"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050400917","https://openalex.org/A5108466060"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4647051","https://openalex.org/I51101395"],"apc_list":null,"apc_paid":null,"fwci":10.1613,"has_fulltext":false,"cited_by_count":133,"citation_normalized_percentile":{"value":0.98023822,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"55","issue":"12","first_page":"1323","last_page":"1332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":1.0,"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":1.0,"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":0.9975000023841858,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9848999977111816,"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/knapsack-problem","display_name":"Knapsack problem","score":0.9408707618713379},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.7677180767059326},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6572811007499695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.611335039138794},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.5728952288627625},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5552734136581421},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5304664373397827},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.4802108705043793},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.464335560798645},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.4472784996032715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32370948791503906},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.07457983493804932}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9408707618713379},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7677180767059326},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6572811007499695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.611335039138794},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.5728952288627625},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5552734136581421},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5304664373397827},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.4802108705043793},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.464335560798645},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.4472784996032715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32370948791503906},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.07457983493804932},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1057/palgrave.jors.2601796","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601796","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00125572v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00125572","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Operational Research Society, 2004, 55, pp.1323-1332. ⟨10.1057/palgrave.jors.2601796⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:pal:jorsoc:v:55:y:2004:i:12:d:10.1057_palgrave.jors.2601796","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2601796","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:eprints.lancs.ac.uk:44908","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/44908/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00125572v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00125572","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Operational Research Society, 2004, 55, pp.1323-1332. ⟨10.1057/palgrave.jors.2601796⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W142750658","https://openalex.org/W1486140585","https://openalex.org/W1492845317","https://openalex.org/W1503898840","https://openalex.org/W1511519193","https://openalex.org/W1561560534","https://openalex.org/W1586409345","https://openalex.org/W1589917387","https://openalex.org/W1591233664","https://openalex.org/W1608777039","https://openalex.org/W1678058668","https://openalex.org/W1776713878","https://openalex.org/W1890961901","https://openalex.org/W1966693694","https://openalex.org/W1981434190","https://openalex.org/W2013946649","https://openalex.org/W2017316844","https://openalex.org/W2021895358","https://openalex.org/W2032107708","https://openalex.org/W2043513057","https://openalex.org/W2045527118","https://openalex.org/W2050997304","https://openalex.org/W2060322444","https://openalex.org/W2066671865","https://openalex.org/W2084792706","https://openalex.org/W2085478109","https://openalex.org/W2093436788","https://openalex.org/W2114712485","https://openalex.org/W2117466569","https://openalex.org/W2144946856","https://openalex.org/W2156293131","https://openalex.org/W2158804684","https://openalex.org/W2166166917","https://openalex.org/W2339500526","https://openalex.org/W3134267570","https://openalex.org/W4212899374"],"related_works":["https://openalex.org/W246960280","https://openalex.org/W2087209118","https://openalex.org/W2168163332","https://openalex.org/W179363847","https://openalex.org/W2381035939","https://openalex.org/W2005493932","https://openalex.org/W2378557713","https://openalex.org/W2141701778","https://openalex.org/W1223758158","https://openalex.org/W2027111774"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,56],"propose":[4],"several":[5],"heuristics":[6],"for":[7,31,37],"approximately":[8],"solving":[9],"the":[10,38,49,52,58,65,76,89,104,116,120,126,137],"multiple-choice":[11],"multidimensional":[12],"knapsack":[13],"problem":[14,133],"(noted":[15],"MMKP),":[16],"an":[17,33],"NP-Hard":[18],"combinatorial":[19],"optimization":[20],"problem.":[21,39],"The":[22,40,78,123],"first":[23,66,90],"algorithm":[24],"is":[25,43,92,107],"a":[26,72,85,98],"constructive":[27],"approach":[28,42,67,80],"used":[29,108],"especially":[30],"constructing":[32],"initial":[34,53],"feasible":[35,100],"solution":[36,74,101,117],"second":[41,105],"applied":[44,93],"in":[45,94,109],"order":[46,95,110],"to":[47,70,75,96,111,114],"improve":[48,115],"quality":[50],"of":[51,125],"solution.":[54],"Finally,":[55],"introduce":[57],"main":[59],"algorithm,":[60],"which":[61],"starts":[62],"by":[63,119],"applying":[64],"and":[68,113],"tries":[69],"produce":[71],"better":[73],"MMKP.":[77],"last":[79],"can":[81],"be":[82],"viewed":[83],"as":[84],"two-stage":[86],"procedure:":[87],"(i)":[88],"stage":[91,106],"penalize":[97],"chosen":[99],"and,":[102],"(ii)":[103],"normalize":[112],"given":[118],"firs":[121],"stage.":[122],"performance":[124],"proposed":[127],"approaches":[128],"has":[129],"been":[130,142],"evaluated":[131],"based":[132],"instances":[134],"extracted":[135],"from":[136],"literature.":[138],"Encouraging":[139],"results":[140],"have":[141],"obtained.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}