{"id":"https://openalex.org/W2957348754","doi":"https://doi.org/10.1007/s10951-021-00687-6","title":"Makespan minimization with OR-precedence constraints","display_name":"Makespan minimization with OR-precedence constraints","publication_year":2021,"publication_date":"2021-05-29","ids":{"openalex":"https://openalex.org/W2957348754","doi":"https://doi.org/10.1007/s10951-021-00687-6","mag":"2957348754"},"language":"en","primary_location":{"id":"doi:10.1007/s10951-021-00687-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10951-021-00687-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10951-021-00687-6.pdf","source":{"id":"https://openalex.org/S91278097","display_name":"Journal of Scheduling","issn_l":"1094-6136","issn":["1094-6136","1099-1425"],"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":"Journal of Scheduling","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10951-021-00687-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052572989","display_name":"Felix Happach","orcid":"https://orcid.org/0000-0002-8062-3632"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Felix Happach","raw_affiliation_strings":["Department of Mathematics, School of Management, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8062-3632","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Management, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052572989"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":{"value":2780,"currency":"USD","value_usd":2780},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00357481,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"24","issue":"3","first_page":"319","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","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/T10551","display_name":"Scheduling and Optimization Algorithms","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/T12288","display_name":"Optimization and Search Problems","score":0.9994000196456909,"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":0.9955000281333923,"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/set","display_name":"Set (abstract data type)","score":0.6418254375457764},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.5823836326599121},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5805568695068359},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5263857841491699},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5150946974754333},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5149510502815247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5055756568908691},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4919109344482422},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48213669657707214},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4350394606590271},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41602954268455505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4058292806148529},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.3781619071960449},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3682355284690857},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1282401978969574}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6418254375457764},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.5823836326599121},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5805568695068359},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5263857841491699},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5150946974754333},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5149510502815247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5055756568908691},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4919109344482422},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48213669657707214},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4350394606590271},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41602954268455505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4058292806148529},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.3781619071960449},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3682355284690857},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1282401978969574},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s10951-021-00687-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10951-021-00687-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10951-021-00687-6.pdf","source":{"id":"https://openalex.org/S91278097","display_name":"Journal of Scheduling","issn_l":"1094-6136","issn":["1094-6136","1099-1425"],"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":"Journal of Scheduling","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.08111","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.08111","pdf_url":"https://arxiv.org/pdf/1907.08111","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2957348754","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.08111v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:spr:jsched:v:24:y:2021:i:3:d:10.1007_s10951-021-00687-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10951-021-00687-6","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:econstor.eu:10419/287363","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/287363","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1515190","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1515190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1633695","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1633695","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"","raw_type":"article"},{"id":"doi:10.48550/arxiv.1907.08111","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.08111","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s10951-021-00687-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10951-021-00687-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10951-021-00687-6.pdf","source":{"id":"https://openalex.org/S91278097","display_name":"Journal of Scheduling","issn_l":"1094-6136","issn":["1094-6136","1099-1425"],"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":"Journal of Scheduling","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2957348754.pdf","grobid_xml":"https://content.openalex.org/works/W2957348754.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W29711632","https://openalex.org/W1481572477","https://openalex.org/W1488422606","https://openalex.org/W1967966457","https://openalex.org/W1978018278","https://openalex.org/W2001447488","https://openalex.org/W2009990213","https://openalex.org/W2014071862","https://openalex.org/W2019285863","https://openalex.org/W2025235423","https://openalex.org/W2027077493","https://openalex.org/W2028754841","https://openalex.org/W2038019409","https://openalex.org/W2038303146","https://openalex.org/W2040035940","https://openalex.org/W2057392949","https://openalex.org/W2058817479","https://openalex.org/W2073271726","https://openalex.org/W2076358787","https://openalex.org/W2080316412","https://openalex.org/W2089269509","https://openalex.org/W2104680817","https://openalex.org/W2120358419","https://openalex.org/W2150446509","https://openalex.org/W2152490496","https://openalex.org/W2168633992","https://openalex.org/W2401610261","https://openalex.org/W2743045177"],"related_works":["https://openalex.org/W3170520555","https://openalex.org/W1988770656","https://openalex.org/W2147721188","https://openalex.org/W2057192029","https://openalex.org/W3082001139","https://openalex.org/W1569458199","https://openalex.org/W2018342998","https://openalex.org/W2998282597","https://openalex.org/W2258570043","https://openalex.org/W772046056","https://openalex.org/W2296418806","https://openalex.org/W2523620715","https://openalex.org/W2083877644","https://openalex.org/W2611565648","https://openalex.org/W2009411775","https://openalex.org/W2529699293","https://openalex.org/W1978018278","https://openalex.org/W38423048","https://openalex.org/W315885957","https://openalex.org/W2154964518"],"abstract_inverted_index":{"Abstract":[0],"We":[1,112],"consider":[2,55],"a":[3,29,56,76,103,115,157],"variant":[4,183],"of":[5,9,19,35,59,86,133,142,208,238],"the":[6,16,20,33,162,181,236,246],"NP-hard":[7],"problem":[8,163],"assigning":[10],"jobs":[11,196],"to":[12,14,44,78,92,121,164,176,198,227],"machines":[13],"minimize":[15],"completion":[17],"time":[18,195,207],"last":[21],"job.":[22],"Usually,":[23],"precedence":[24,60,178,254],"constraints":[25,179,255,258],"are":[26,168],"given":[27],"by":[28],"partial":[30],"order":[31,74],"on":[32],"set":[34],"jobs,":[36],"and":[37,69,135,222,256],"each":[38,100],"job":[39,77,101],"requires":[40],"all":[41,93],"its":[42,87,94],"predecessors":[43,88],"be":[45,225],"completed":[46],"before":[47,106],"it":[48,108,223],"can":[49,224],"start.":[50,111],"In":[51,73],"this":[52],"paper,":[53],"we":[54,80,97,155],"different":[57],"type":[58],"relation":[61],"that":[62,82,99,114,137,160],"has":[63,102,129],"not":[64,110],"been":[65],"discussed":[66],"as":[67],"extensively":[68],"is":[70,89,152,173,184,211,235],"called":[71],"OR-precedence.":[72],"for":[75,192,218,229,249],"start,":[79],"require":[81],"at":[83],"least":[84],"one":[85],"completed\u2014in":[90],"contrast":[91,175],"predecessors.":[95],"Additionally,":[96],"assume":[98],"release":[104,203],"date":[105],"which":[107],"must":[109],"prove":[113],"simple":[116],"List":[117],"Scheduling":[118],"algorithm":[119,159,188,210],"due":[120],"Graham":[122],"(Bell":[123],"Syst":[124],"Tech":[125],"J":[126],"45(9):1563\u20131581,":[127],"1966)":[128],"an":[130,139],"approximation":[131,140],"guarantee":[132],"2":[134,216],"show":[136],"obtaining":[138],"factor":[141],"$$4/3":[143],"-":[144,150],"\\varepsilon":[145],"$$":[146],"4":[147],"/":[148],"3":[149],"\u03b5":[151],"NP-hard.":[153,186],"Further,":[154],"present":[156],"polynomial-time":[158],"solves":[161],"optimality":[165],"if":[166],"preemptions":[167],"allowed.":[169],"The":[170,205,240],"latter":[171],"result":[172],"in":[174],"classical":[177,253],"where":[180,233,252],"preemptive":[182],"already":[185],"Our":[187],"generalizes":[189],"previous":[190],"results":[191],"unit":[193,230],"processing":[194,220,231],"subject":[197],"OR-precedence":[199,257],"constraints,":[200],"but":[201],"without":[202],"dates.":[204],"running":[206],"our":[209],"$$O(n^2)$$":[212],"O":[213],"(":[214],"n":[215,234],")":[217],"arbitrary":[219],"times":[221],"reduced":[226],"O(n)":[228],"times,":[232],"number":[237],"jobs.":[239],"performance":[241],"guarantees":[242],"presented":[243],"here":[244],"match":[245],"best-known":[247],"ones":[248],"special":[250],"cases":[251],"coincide.":[259]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}