{"id":"https://openalex.org/W2029348542","doi":"https://doi.org/10.1007/s10479-012-1098-1","title":"Scheduling problems with position dependent job processing times: computational complexity results","display_name":"Scheduling problems with position dependent job processing times: computational complexity results","publication_year":2012,"publication_date":"2012-02-28","ids":{"openalex":"https://openalex.org/W2029348542","doi":"https://doi.org/10.1007/s10479-012-1098-1","mag":"2029348542"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-012-1098-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-012-1098-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-012-1098-1.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10479-012-1098-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083788657","display_name":"Rados\u0142aw Rudek","orcid":"https://orcid.org/0000-0002-5945-4803"},"institutions":[{"id":"https://openalex.org/I305801656","display_name":"Wroclaw University of Economics and Business","ror":"https://ror.org/013sm1c65","country_code":"PL","type":"education","lineage":["https://openalex.org/I305801656"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Rados\u0142aw Rudek","raw_affiliation_strings":["Wroc\u0142aw University of Economics, Komandorska 118/120, 53-345, Wroc\u0142aw, Poland","Wroclaw University of Economics"],"affiliations":[{"raw_affiliation_string":"Wroc\u0142aw University of Economics, Komandorska 118/120, 53-345, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I305801656"]},{"raw_affiliation_string":"Wroclaw University of Economics","institution_ids":["https://openalex.org/I305801656"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083788657"],"corresponding_institution_ids":["https://openalex.org/I305801656"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":7.5328,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96696223,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"196","issue":"1","first_page":"491","last_page":"516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","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/T10551","display_name":"Scheduling and Optimization Algorithms","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/T12288","display_name":"Optimization and Search Problems","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9765999913215637,"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/job-shop-scheduling","display_name":"Job shop scheduling","score":0.7889097332954407},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6840956807136536},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6713361144065857},{"id":"https://openalex.org/keywords/learning-effect","display_name":"Learning effect","score":0.5752750635147095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5104843378067017},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5058221817016602},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46720215678215027},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4213064908981323},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4204181134700775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3409847915172577},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26395517587661743},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2184213399887085},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.16945242881774902}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.7889097332954407},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6840956807136536},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6713361144065857},{"id":"https://openalex.org/C10431821","wikidata":"https://www.wikidata.org/wiki/Q6510174","display_name":"Learning effect","level":2,"score":0.5752750635147095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5104843378067017},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5058221817016602},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46720215678215027},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4213064908981323},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4204181134700775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3409847915172577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26395517587661743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2184213399887085},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.16945242881774902},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-012-1098-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-012-1098-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-012-1098-1.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:196:y:2012:i:1:p:491-516:10.1007/s10479-012-1098-1","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-012-1098-1","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":{"id":"doi:10.1007/s10479-012-1098-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-012-1098-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-012-1098-1.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2029348542.pdf","grobid_xml":"https://content.openalex.org/works/W2029348542.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W139490241","https://openalex.org/W1488422606","https://openalex.org/W1520267315","https://openalex.org/W1566241536","https://openalex.org/W1576373160","https://openalex.org/W1647475524","https://openalex.org/W1972620744","https://openalex.org/W1983974888","https://openalex.org/W1986898315","https://openalex.org/W1995174403","https://openalex.org/W1995288952","https://openalex.org/W1999312662","https://openalex.org/W2004625249","https://openalex.org/W2008012438","https://openalex.org/W2009808703","https://openalex.org/W2010484711","https://openalex.org/W2011039300","https://openalex.org/W2013421526","https://openalex.org/W2020136066","https://openalex.org/W2027520807","https://openalex.org/W2031002773","https://openalex.org/W2034840429","https://openalex.org/W2038097843","https://openalex.org/W2045953759","https://openalex.org/W2049860169","https://openalex.org/W2054469538","https://openalex.org/W2055312886","https://openalex.org/W2057995030","https://openalex.org/W2058922371","https://openalex.org/W2063069553","https://openalex.org/W2065391605","https://openalex.org/W2069241277","https://openalex.org/W2073451639","https://openalex.org/W2081908687","https://openalex.org/W2083659831","https://openalex.org/W2084552861","https://openalex.org/W2085327584","https://openalex.org/W2090648144","https://openalex.org/W2093768268","https://openalex.org/W2094831169","https://openalex.org/W2099618002","https://openalex.org/W2109360105","https://openalex.org/W2112534382","https://openalex.org/W2129240174","https://openalex.org/W2132848814","https://openalex.org/W2146072520","https://openalex.org/W2146396918","https://openalex.org/W2150902201","https://openalex.org/W2161088332","https://openalex.org/W3121271299","https://openalex.org/W4230992064","https://openalex.org/W4239679648","https://openalex.org/W4248317381","https://openalex.org/W4253821632","https://openalex.org/W4285719527","https://openalex.org/W6637063359"],"related_works":["https://openalex.org/W2015197478","https://openalex.org/W1969188246","https://openalex.org/W2092240563","https://openalex.org/W2116082811","https://openalex.org/W2074319831","https://openalex.org/W2009141775","https://openalex.org/W2061863230","https://openalex.org/W1969089730","https://openalex.org/W1974309933","https://openalex.org/W2071116657"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,98,148],"analyse":[4],"single":[5],"machine":[6],"scheduling":[7],"problems":[8,75,105,133],"with":[9,23,106,134],"learning":[10,38,107],"and":[11,29,39,108,155],"aging":[12,40,109],"effects":[13],"to":[14],"minimize":[15],"one":[16],"of":[17,32,37,59,94,102,120],"the":[18,21,26,30,57,73,116,126,132,135,143,150],"following":[19],"objectives:":[20],"makespan":[22],"release":[24],"dates,":[25],"maximum":[27],"lateness":[28],"number":[31,58,93],"late":[33],"jobs.":[34,96],"The":[35],"phenomena":[36],"are":[41,76,84,138],"modeled":[42],"by":[43,48,86],"job":[44,65,81,122,130],"processing":[45,82,123],"times":[46,83],"described":[47,85],"non-increasing":[49],"(learning)":[50],"or":[51],"non-decreasing":[52],"(aging)":[53],"functions":[54,89],"dependent":[55,90],"on":[56,91],"previously":[60],"processed":[61,95],"jobs,":[62],"i.e.,":[63],"a":[64,68,92,100,121],"position":[66],"in":[67],"sequence.":[69],"We":[70,111],"prove":[71,113],"that":[72,114],"considered":[74,136],"strongly":[77,156],"NP-hard":[78,157],"even":[79,141],"if":[80,115,142],"simple":[87],"linear":[88],"Additionally,":[97],"show":[99],"property":[101],"equivalence":[103],"between":[104,152],"models.":[110],"also":[112],"function":[117,144],"describing":[118],"decrease/increase":[119],"time":[124],"is":[125,145],"same":[127],"for":[128],"each":[129],"then":[131],"objectives":[137],"polynomially":[139,153],"solvable":[140,154],"arbitrary.":[146],"Therefore,":[147],"determine":[149],"boundary":[151],"cases.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
