{"id":"https://openalex.org/W2546370215","doi":"https://doi.org/10.1145/3092026","title":"Hardness of Approximation for Strip Packing","display_name":"Hardness of Approximation for Strip Packing","publication_year":2017,"publication_date":"2017-09-18","ids":{"openalex":"https://openalex.org/W2546370215","doi":"https://doi.org/10.1145/3092026","mag":"2546370215"},"language":"en","primary_location":{"id":"doi:10.1145/3092026","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3092026","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","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/A5050123676","display_name":"Anna Adamaszek","orcid":"https://orcid.org/0000-0003-3291-0124"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Anna Adamaszek","raw_affiliation_strings":["University of Copenhagen, K\u00f8benhavn \u00d8, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Copenhagen, K\u00f8benhavn \u00d8, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086467798","display_name":"Tomasz Kociumaka","orcid":"https://orcid.org/0000-0002-2477-1702"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz Kociumaka","raw_affiliation_strings":["University of Warsaw, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059330513","display_name":"Marcin Pilipczuk","orcid":"https://orcid.org/0000-0001-5680-7397"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Pilipczuk","raw_affiliation_strings":["University of Warsaw, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000479623","display_name":"Micha\u0142 Pilipczuk","orcid":"https://orcid.org/0000-0001-7891-1988"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Pilipczuk","raw_affiliation_strings":["University of Warsaw, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6715,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90375758,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":"3","first_page":"1","last_page":"7"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9951000213623047,"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":0.9905999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5143981575965881},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42732998728752136},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.3302876353263855},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3101477026939392}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5143981575965881},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42732998728752136},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3302876353263855},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3101477026939392}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3092026","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3092026","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/388af3ad-781a-4265-af3c-2c112b969b03","is_oa":false,"landing_page_url":"https://curis.ku.dk/portal/da/publications/hardness-of-approximation-for-strip-packing(388af3ad-781a-4265-af3c-2c112b969b03).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"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:pure.atira.dk:publications/388af3ad-781a-4265-af3c-2c112b969b03","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/388af3ad-781a-4265-af3c-2c112b969b03","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adamaszek , A M , Kociumaka , T , Pilipczuk , M & Pilipczuk , M 2017 , ' Hardness of approximation for strip packing ' , ACM Transactions on Computation Theory , vol. 9 , no. 3 , 14 . https://doi.org/10.1145/3092026","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G91580269","display_name":null,"funder_award_id":"UMO-2013/09/B/ST6/03136 and UMO-2013/11/D/ST6/03073","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320322928","display_name":"Danmarks Frie Forskningsfond","ror":"https://ror.org/02sptwz63"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1492611605","https://openalex.org/W1530649098","https://openalex.org/W1586863324","https://openalex.org/W1843208812","https://openalex.org/W1997959089","https://openalex.org/W1998375208","https://openalex.org/W2011039300","https://openalex.org/W2019318803","https://openalex.org/W2031210751","https://openalex.org/W2059422698","https://openalex.org/W2060963575","https://openalex.org/W2071027833","https://openalex.org/W2083094973","https://openalex.org/W2098666887","https://openalex.org/W2098775996","https://openalex.org/W2155087380","https://openalex.org/W2168190509","https://openalex.org/W2537875490","https://openalex.org/W2962917430"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W4404995717","https://openalex.org/W2007980826","https://openalex.org/W2016187641","https://openalex.org/W4404725684","https://openalex.org/W4246450666","https://openalex.org/W4388998267","https://openalex.org/W4409278740"],"abstract_inverted_index":{"Strip":[0],"packing":[1,5,117,162,181,210,232],"is":[2,10,66,175,205],"a":[3,13,19,22,75,105,143,158,169,212],"classical":[4],"problem,":[6],"where":[7],"the":[8,27,31,50,53,61,69,134,176,230],"goal":[9],"to":[11,57,142,207,220],"pack":[12],"set":[14,186],"of":[15,21,30,52,187],"rectangular":[16],"objects":[17,54],"into":[18],"strip":[20,116,161,209,231],"given":[23],"width,":[24],"while":[25],"minimizing":[26],"total":[28,62],"height":[29],"packing.":[32],"The":[33],"problem":[34,70,233],"has":[35,45,138],"multiple":[36],"applications,":[37],"for":[38,90,110,178],"example,":[39],"in":[40,60,133,199],"scheduling":[41],"and":[42,44,98],"stock-cutting,":[43],"been":[46,140],"studied":[47],"extensively.":[48],"When":[49],"dimensions":[51],"are":[55,131],"allowed":[56,132],"be":[58,72,123],"exponential":[59],"input":[63,93,166,223],"size,":[64],"it":[65,204],"known":[67],"that":[68,115,203,229],"cannot":[71],"approximated":[73,124],"within":[74,211],"factor":[76,213],"better":[77,125,214],"than":[78,126,215],"3/2,":[79],"unless":[80,240],"P=":[81],"NP.":[82],"However,":[83],"there":[84],"was":[85],"no":[86,235],"corresponding":[87],"lower":[88],"bound":[89],"polynomially":[91,119,164,221],"bounded":[92,120,165,222],"data.":[94,224],"In":[95,192,225],"fact,":[96],"Nadiradze":[97],"Wiese":[99],"[SODA":[100],"2016]":[101],"have":[102],"recently":[103],"proposed":[104],"(1.4":[106],"+":[107,145],"\u03f5)-approximation":[108,146],"algorithm":[109],"this":[111,193,197,227],"variant,":[112],"thus":[113],"showing":[114],"with":[118,163],"data":[121,167],"can":[122],"when":[127,218],"exponentially":[128],"large":[129],"values":[130],"input.":[135],"Their":[136],"result":[137],"subsequently":[139],"improved":[141],"(4/3":[144],"by":[147,201],"two":[148],"independent":[149,185],"research":[150],"groups":[151],"[FSTTCS":[152],"2016,":[153],"WALCOM":[154],"2017].":[155],"This":[156],"raises":[157],"question":[159,198],"whether":[160],"admits":[168,234],"quasi-polynomial":[170,236],"time":[171,237],"approximation":[172,238],"scheme,":[173,239],"as":[174],"case":[177],"related":[179],"two-dimensional":[180,190],"problems":[182],"like":[183],"maximum":[184],"rectangles":[188],"or":[189],"knapsack.":[191],"article,":[194],"we":[195],"answer":[196],"negative":[200],"proving":[202],"NP-hard":[206],"approximate":[208],"12/11,":[216],"even":[217],"restricted":[219],"particular,":[226],"shows":[228],"NP}":[241],"\u2291":[242],"DTIME(2":[243],"polylog":[244],"(n)":[245],").":[246]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}