{"id":"https://openalex.org/W2127850702","doi":"https://doi.org/10.1002/net.3230110208","title":"Exact solution of crew scheduling problems using the set partitioning model: Recent successful applications","display_name":"Exact solution of crew scheduling problems using the set partitioning model: Recent successful applications","publication_year":1981,"publication_date":"1981-06-01","ids":{"openalex":"https://openalex.org/W2127850702","doi":"https://doi.org/10.1002/net.3230110208","mag":"2127850702"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230110208","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230110208","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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/A5108511205","display_name":"Roy E. Marsten","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roy E. Marsten","raw_affiliation_strings":["College of Business and Public Administration, University of Arizona, Tucson, Arizona 85721","College of Business and Public Administration, University of Arizona, Tucson, Arizona 85721#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Business and Public Administration, University of Arizona, Tucson, Arizona 85721","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"College of Business and Public Administration, University of Arizona, Tucson, Arizona 85721#TAB#","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026602964","display_name":"Fred Shepardson","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fred Shepardson","raw_affiliation_strings":["Graduate School of Business, Stanford University, Stanford, California 94305","Graduate School of Business Stanford University , Stanford, California, 94305"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Business, Stanford University, Stanford, California 94305","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Graduate School of Business Stanford University , Stanford, California, 94305","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":7.0381,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":{"value":0.96643357,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"165","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998000264167786,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998000264167786,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9965000152587891,"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":0.995199978351593,"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/crew-scheduling","display_name":"Crew scheduling","score":0.8198598027229309},{"id":"https://openalex.org/keywords/benders-decomposition","display_name":"Benders' decomposition","score":0.7141995429992676},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7045221924781799},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.6746163368225098},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6479083299636841},{"id":"https://openalex.org/keywords/crew","display_name":"Crew","score":0.6302287578582764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6290300488471985},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.569974422454834},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.552356481552124},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5285899639129639},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.475301593542099},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4583001732826233},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.45791804790496826},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44568291306495667},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4400525689125061},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.414318323135376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19140341877937317},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13307708501815796},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1269390881061554}],"concepts":[{"id":"https://openalex.org/C2776986690","wikidata":"https://www.wikidata.org/wiki/Q1139830","display_name":"Crew scheduling","level":3,"score":0.8198598027229309},{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.7141995429992676},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7045221924781799},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.6746163368225098},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6479083299636841},{"id":"https://openalex.org/C2780179797","wikidata":"https://www.wikidata.org/wiki/Q345844","display_name":"Crew","level":2,"score":0.6302287578582764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6290300488471985},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.569974422454834},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.552356481552124},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5285899639129639},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.475301593542099},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4583001732826233},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.45791804790496826},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44568291306495667},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4400525689125061},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.414318323135376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19140341877937317},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13307708501815796},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1269390881061554},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C178802073","wikidata":"https://www.wikidata.org/wiki/Q8421","display_name":"Aeronautics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230110208","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230110208","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1004918569","https://openalex.org/W1972106066","https://openalex.org/W2017697298","https://openalex.org/W2026615147","https://openalex.org/W2040546762","https://openalex.org/W2058748455","https://openalex.org/W2059003697","https://openalex.org/W2074295547","https://openalex.org/W2075807410","https://openalex.org/W2097701912","https://openalex.org/W2128770644","https://openalex.org/W2158446314","https://openalex.org/W2159446692","https://openalex.org/W4242130683"],"related_works":["https://openalex.org/W2037613239","https://openalex.org/W3183857959","https://openalex.org/W4243844638","https://openalex.org/W195910675","https://openalex.org/W3032916910","https://openalex.org/W2894990380","https://openalex.org/W2363143319","https://openalex.org/W2351035339","https://openalex.org/W1980006501","https://openalex.org/W2138760184"],"abstract_inverted_index":{"Abstract":[0],"The":[1,61],"set":[2],"partitioning":[3],"model":[4,27],"of":[5],"the":[6],"crew":[7],"rotation":[8],"problem":[9,41],"has":[10],"been":[11],"well":[12,46],"known":[13],"for":[14,78],"many":[15],"years.":[16],"This":[17],"paper":[18],"focuses":[19],"on":[20,80],"recent":[21],"developments":[22,38],"that":[23,92],"have":[24,31],"made":[25,77],"this":[26],"more":[28],"attractive":[29],"and":[30,43,54,70],"resulted":[32],"in":[33],"several":[34],"successful":[35],"implementations.":[36],"These":[37],"include":[39],"improved":[40],"conceptualizations":[42],"decompositions,":[44],"as":[45,47],"new":[48],"solution":[49],"techniques":[50],"employing":[51],"Lagrangian":[52],"relaxation":[53],"subgradient":[55],"optimization.":[56],"Experience":[57],"is":[58,76],"reported":[59],"from":[60],"Flying":[62],"Tiger":[63],"Line,":[64],"Pacific":[65],"Southwest":[66],"Airways,":[67],"Continental":[68],"Airlines,":[69],"Helsinki":[71],"City":[72],"Transport.":[73],"A":[74],"case":[75],"work":[79],"heuristic":[81],"decomposition":[82],"methods":[83],"to":[84],"break":[85],"large":[86],"problems":[87],"into":[88],"moderate":[89],"sized":[90],"pieces":[91],"can":[93],"be":[94],"solved":[95],"exactly.":[96]},"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":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}