{"id":"https://openalex.org/W2099446973","doi":"https://doi.org/10.1057/palgrave.jors.2601553","title":"An <i>L</i>-approach for packing (<i>\u2113</i>, <i>w</i>)-rectangles into rectangular and <i>L</i>-shaped pieces","display_name":"An <i>L</i>-approach for packing (<i>\u2113</i>, <i>w</i>)-rectangles into rectangular and <i>L</i>-shaped pieces","publication_year":2003,"publication_date":"2003-06-23","ids":{"openalex":"https://openalex.org/W2099446973","doi":"https://doi.org/10.1057/palgrave.jors.2601553","mag":"2099446973"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2601553","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601553","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107847214","display_name":"La\u00eds Acioli Lins","orcid":null},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"L Lins","raw_affiliation_strings":["Universidade Federal de Pernambuco Recife Brazil","Universidade federal de Pernambuco, Recife, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Federal de Pernambuco Recife Brazil","institution_ids":["https://openalex.org/I25112270"]},{"raw_affiliation_string":"Universidade federal de Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065879386","display_name":"Severina Rodrigues de Oliveira Lins","orcid":"https://orcid.org/0000-0002-7641-7158"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"S Lins","raw_affiliation_strings":["Universidade Federal de Pernambuco Recife Brazil","Universidade federal de Pernambuco, Recife, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Federal de Pernambuco Recife Brazil","institution_ids":["https://openalex.org/I25112270"]},{"raw_affiliation_string":"Universidade federal de Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063681003","display_name":"Reinaldo Mor\u00e1bito","orcid":"https://orcid.org/0000-0002-3948-305X"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"R Morabito","raw_affiliation_strings":["Universidade Federal de S\u00e3o Carlos S\u00e3o Carlos Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Federal de S\u00e3o Carlos S\u00e3o Carlos Brazil","institution_ids":["https://openalex.org/I177909021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063681003"],"corresponding_institution_ids":["https://openalex.org/I177909021"],"apc_list":null,"apc_paid":null,"fwci":10.8578,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.9832719,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"54","issue":"7","first_page":"777","last_page":"789"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9925000071525574,"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/heuristics","display_name":"Heuristics","score":0.7913916110992432},{"id":"https://openalex.org/keywords/packing-problems","display_name":"Packing problems","score":0.7319114208221436},{"id":"https://openalex.org/keywords/pallet","display_name":"Pallet","score":0.7291486859321594},{"id":"https://openalex.org/keywords/container","display_name":"Container (type theory)","score":0.5506026148796082},{"id":"https://openalex.org/keywords/bin-packing-problem","display_name":"Bin packing problem","score":0.5385056734085083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5062312483787537},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5039584040641785},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.49351632595062256},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4777478575706482},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4168112576007843},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4001886248588562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3951554000377655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35454195737838745},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2108156383037567},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14060327410697937},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.12088200449943542},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.08282086253166199},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.07114788889884949}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7913916110992432},{"id":"https://openalex.org/C130253271","wikidata":"https://www.wikidata.org/wiki/Q3851477","display_name":"Packing problems","level":2,"score":0.7319114208221436},{"id":"https://openalex.org/C51413319","wikidata":"https://www.wikidata.org/wiki/Q505996","display_name":"Pallet","level":2,"score":0.7291486859321594},{"id":"https://openalex.org/C2781018962","wikidata":"https://www.wikidata.org/wiki/Q5164884","display_name":"Container (type theory)","level":2,"score":0.5506026148796082},{"id":"https://openalex.org/C87219788","wikidata":"https://www.wikidata.org/wiki/Q814581","display_name":"Bin packing problem","level":3,"score":0.5385056734085083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5062312483787537},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5039584040641785},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.49351632595062256},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4777478575706482},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4168112576007843},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4001886248588562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3951554000377655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35454195737838745},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2108156383037567},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14060327410697937},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.12088200449943542},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.08282086253166199},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.07114788889884949}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1057/palgrave.jors.2601553","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601553","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:RePEc:pal:jorsoc:v:54:y:2003:i:7:d:10.1057_palgrave.jors.2601553","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2601553","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W137555463","https://openalex.org/W652309760","https://openalex.org/W1482236382","https://openalex.org/W1977265489","https://openalex.org/W1988220805","https://openalex.org/W1991209994","https://openalex.org/W1995887829","https://openalex.org/W2005177364","https://openalex.org/W2005799505","https://openalex.org/W2012366041","https://openalex.org/W2013360405","https://openalex.org/W2018182024","https://openalex.org/W2033730597","https://openalex.org/W2042970314","https://openalex.org/W2043519069","https://openalex.org/W2047307368","https://openalex.org/W2054093527","https://openalex.org/W2058618345","https://openalex.org/W2060525068","https://openalex.org/W2060870627","https://openalex.org/W2063609096","https://openalex.org/W2066054829","https://openalex.org/W2066368232","https://openalex.org/W2070427560","https://openalex.org/W2071019421","https://openalex.org/W2074356794","https://openalex.org/W2085774108","https://openalex.org/W2088674138","https://openalex.org/W2089725801","https://openalex.org/W2102843314","https://openalex.org/W2170875746","https://openalex.org/W2400899291","https://openalex.org/W2401131914","https://openalex.org/W2471372419","https://openalex.org/W2752885492","https://openalex.org/W4211218975","https://openalex.org/W4235290758","https://openalex.org/W4238337282","https://openalex.org/W4379512177"],"related_works":["https://openalex.org/W2161940019","https://openalex.org/W2042730101","https://openalex.org/W2044180942","https://openalex.org/W3034800622","https://openalex.org/W2078833192","https://openalex.org/W2042249499","https://openalex.org/W2398075730","https://openalex.org/W1527172735","https://openalex.org/W2117588054","https://openalex.org/W2351297228"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"approach":[4,97],"using":[5],"a":[6,20],"recursive":[7],"algorithm":[8],"for":[9,25,33],"packing":[10,107],"(\u2113,":[11,90],"w)-rectangles":[12,91],"into":[13,92],"larger":[14],"rectangular":[15,93],"and":[16,28,106],"L-shaped":[17,110],"pieces.":[18,94,111],"Such":[19],"problem":[21],"has":[22],"actual":[23],"applications":[24],"non-guillotine":[26],"cutting":[27,105],"pallet/container":[29],"loading.":[30],"Our":[31],"motivation":[32],"developing":[34],"the":[35,40,69,72,83,96],"L-approach":[36,84],"is":[37,52],"based":[38],"on":[39],"fact":[41],"that":[42,82],"it":[43,51],"can":[44],"solve":[45,55],"difficult":[46],"pallet":[47],"loading":[48],"instances.":[49],"Indeed,":[50],"able":[53],"to":[54],"all":[56],"testing":[57],"problems":[58,108],"(more":[59],"than":[60],"20":[61],"000":[62],"representatives":[63],"of":[64,68,89],"infinite":[65],"equivalence":[66],"classes":[67],"literature),":[70],"including":[71],"18":[73],"hard":[74],"instances":[75],"unresolved":[76],"by":[77],"other":[78],"heuristics.":[79],"We":[80],"conjecture":[81],"always":[85],"finds":[86],"optimum":[87],"packings":[88],"Moreover,":[95],"may":[98],"also":[99],"be":[100],"useful":[101],"when":[102],"dealing":[103],"with":[104],"involving":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}