{"id":"https://openalex.org/W3088967893","doi":"https://doi.org/10.1109/tase.2020.3022986","title":"On the Use of Equivalence Classes for Optimal and Suboptimal Bin Packing and Bin Covering","display_name":"On the Use of Equivalence Classes for Optimal and Suboptimal Bin Packing and Bin Covering","publication_year":2020,"publication_date":"2020-09-22","ids":{"openalex":"https://openalex.org/W3088967893","doi":"https://doi.org/10.1109/tase.2020.3022986","mag":"3088967893"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2020.3022986","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2020.3022986","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","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/A5064831005","display_name":"Sabino Francesco Roselli","orcid":"https://orcid.org/0000-0002-4845-3565"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Sabino Roselli","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-4845-3565","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027294250","display_name":"Fredrik Hagebring","orcid":"https://orcid.org/0000-0002-1801-1969"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Fredrik Hagebring","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009533548","display_name":"Sarmad Riazi","orcid":"https://orcid.org/0000-0002-8450-311X"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Sarmad Riazi","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-8450-311X","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017972835","display_name":"Martin Fabian","orcid":"https://orcid.org/0000-0003-1287-9748"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Martin Fabian","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0003-1287-9748","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108805135","display_name":"Knut \u00c5kesson","orcid":"https://orcid.org/0000-0001-6105-2726"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Knut Akesson","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5064831005"],"corresponding_institution_ids":["https://openalex.org/I66862912"],"apc_list":null,"apc_paid":null,"fwci":0.3614,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69080427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"18","issue":"1","first_page":"369","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9973000288009644,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9952999949455261,"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/bin-packing-problem","display_name":"Bin packing problem","score":0.9535029530525208},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.899127721786499},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6886914968490601},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6534910798072815},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5278002023696899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5246855616569519},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.43034887313842773},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42234480381011963},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.4106408953666687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37679556012153625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3123171925544739},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1821020245552063},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09813526272773743}],"concepts":[{"id":"https://openalex.org/C87219788","wikidata":"https://www.wikidata.org/wiki/Q814581","display_name":"Bin packing problem","level":3,"score":0.9535029530525208},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.899127721786499},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6886914968490601},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6534910798072815},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5278002023696899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5246855616569519},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.43034887313842773},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42234480381011963},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.4106408953666687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37679556012153625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3123171925544739},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1821020245552063},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09813526272773743},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tase.2020.3022986","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2020.3022986","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:research.chalmers.se:519021","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/519021","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:research.chalmers.se:522038","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/93176458-a361-4354-9454-2282e0f891cd","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W90213227","https://openalex.org/W1973063017","https://openalex.org/W1976567265","https://openalex.org/W1984214681","https://openalex.org/W2013067314","https://openalex.org/W2032938251","https://openalex.org/W2057764247","https://openalex.org/W2058653357","https://openalex.org/W2059582160","https://openalex.org/W2066420593","https://openalex.org/W2155312717","https://openalex.org/W2342137734","https://openalex.org/W2531214128","https://openalex.org/W2753452838","https://openalex.org/W2945097595","https://openalex.org/W2963964677","https://openalex.org/W2973559020","https://openalex.org/W2980080529","https://openalex.org/W3143520087"],"related_works":["https://openalex.org/W2797538013","https://openalex.org/W2026961896","https://openalex.org/W4255148175","https://openalex.org/W2001915926","https://openalex.org/W2096053066","https://openalex.org/W2104955674","https://openalex.org/W2971368033","https://openalex.org/W2949755993","https://openalex.org/W2967935725","https://openalex.org/W1590563747"],"abstract_inverted_index":{"Bin":[0],"packing":[1,134],"and":[2,17,135],"bin":[3,78,83,133],"covering":[4,136],"are":[5,33,155],"important":[6],"optimization":[7,73],"problems":[8,137],"in":[9,39,104],"many":[10,122],"industrial":[11],"fields,":[12],"such":[13,40,107],"as":[14,50,108],"packaging,":[15],"recycling,":[16],"food":[18],"processing.":[19],"The":[20,72],"problem":[21,74],"concerns":[22,75],"a":[23,41,68,91,112],"set":[24],"of":[25,47,55,87,115,131,148,164],"items,":[26],"each":[27,48],"with":[28],"its":[29,56],"own":[30],"value,":[31],"that":[32,43,138,158],"to":[34,111,172,176],"be":[35,102],"sorted":[36],"into":[37],"bins":[38],"way":[42],"the":[44,53,85,129,132,141,165,182],"total":[45],"value":[46],"bin,":[49],"measured":[51],"by":[52],"sum":[54],"item":[57],"values,":[58],"is":[59,90],"not":[60],"above":[61],"(for":[62,66],"packing)":[63],"or":[64,80],"below":[65],"covering)":[67],"given":[69],"target":[70],"value.":[71],"minimizing,":[76],"for":[77,82,95,144],"packing,":[79],"maximizing,":[81],"covering,":[84],"number":[86,114],"bins.":[88],"This":[89,126],"combinatorial":[92],"NP-hard":[93],"problem,":[94,121],"which":[96],"true":[97,142],"optimal":[98],"solutions":[99,157],"can":[100],"only":[101],"calculated":[103],"specific":[105],"cases,":[106],"when":[109],"restricted":[110],"small":[113],"items.":[116],"To":[117],"get":[118],"around":[119],"this":[120],"suboptimal":[123,156],"approaches":[124],"exist.":[125],"article":[127],"describes":[128],"formulations":[130],"allow":[139],"finding":[140],"optimum,":[143],"instance,":[145],"counting":[146],"hundreds":[147],"items":[149],"using":[150],"general-purpose":[151],"MILP-solvers.":[152],"Also":[153],"presented":[154],"come":[159],"within":[160],"less":[161,170],"than":[162],"10%":[163],"optimum":[166],"while":[167],"taking":[168],"significantly":[169],"time":[171],"calculate,":[173],"even":[174],"ten":[175],"100":[177],"times":[178],"faster,":[179],"depending":[180],"on":[181],"required":[183],"accuracy.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}