{"id":"https://openalex.org/W2023665993","doi":"https://doi.org/10.1057/palgrave.jors.2601210","title":"Production of locomotive rosters for a multi-class multi-locomotive problem","display_name":"Production of locomotive rosters for a multi-class multi-locomotive problem","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2023665993","doi":"https://doi.org/10.1057/palgrave.jors.2601210","mag":"2023665993"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2601210","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601210","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/A5066281894","display_name":"David H. Noble","orcid":null},"institutions":[{"id":"https://openalex.org/I198012923","display_name":"University of Staffordshire","ror":"https://ror.org/00d6k8y35","country_code":"GB","type":"education","lineage":["https://openalex.org/I198012923"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"D H Noble","raw_affiliation_strings":["Staffordshire University Stoke-on-Trent UK","[Staffordshire University, Stoke-on-Trent, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Staffordshire University Stoke-on-Trent UK","institution_ids":["https://openalex.org/I198012923"]},{"raw_affiliation_string":"[Staffordshire University, Stoke-on-Trent, UK]","institution_ids":["https://openalex.org/I198012923"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101594629","display_name":"Md. Al-Amin","orcid":"https://orcid.org/0000-0002-1451-5334"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M Al-Amin","raw_affiliation_strings":["Swinburne University of Technology Australia","Swinburne University of Technology, AUSTRALIA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swinburne University of Technology Australia","institution_ids":["https://openalex.org/I57093077"]},{"raw_affiliation_string":"Swinburne University of Technology, AUSTRALIA","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020331887","display_name":"R. G. J. Mills","orcid":null},"institutions":[{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"government","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"R G J Mills","raw_affiliation_strings":["CSIRO Mathematical and Information Sciences, Glen Osmond Australia","CSIRO Mathematical and Information Sciences, Glen Osmond, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSIRO Mathematical and Information Sciences, Glen Osmond Australia","institution_ids":["https://openalex.org/I1292875679"]},{"raw_affiliation_string":"CSIRO Mathematical and Information Sciences, Glen Osmond, Australia","institution_ids":["https://openalex.org/I1292875679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066281894"],"corresponding_institution_ids":["https://openalex.org/I198012923"],"apc_list":null,"apc_paid":null,"fwci":0.7422,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.82984027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":"11","first_page":"1191","last_page":"1200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13439","display_name":"Transport and Economic Policies","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13439","display_name":"Transport and Economic Policies","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11223","display_name":"Maritime Ports and Logistics","score":0.957099974155426,"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/T12306","display_name":"Urban and Freight Transport Logistics","score":0.9387000203132629,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/train","display_name":"Train","score":0.6303327679634094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5757303237915039},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.571857213973999},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5301113128662109},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5250135064125061},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5202511548995972},{"id":"https://openalex.org/keywords/purchasing","display_name":"Purchasing","score":0.4763213098049164},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45853739976882935},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4581114649772644},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4576822817325592},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.4421168267726898},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44110536575317383},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43101367354393005},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4300045371055603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25466281175613403},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.19103774428367615},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.13163787126541138}],"concepts":[{"id":"https://openalex.org/C190839683","wikidata":"https://www.wikidata.org/wiki/Q2448197","display_name":"Train","level":2,"score":0.6303327679634094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5757303237915039},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.571857213973999},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5301113128662109},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5250135064125061},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5202511548995972},{"id":"https://openalex.org/C2778813691","wikidata":"https://www.wikidata.org/wiki/Q1369832","display_name":"Purchasing","level":2,"score":0.4763213098049164},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45853739976882935},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4581114649772644},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4576822817325592},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.4421168267726898},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44110536575317383},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43101367354393005},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4300045371055603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25466281175613403},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.19103774428367615},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.13163787126541138},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","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},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1057/palgrave.jors.2601210","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601210","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:52:y:2001:i:11:d:10.1057_palgrave.jors.2601210","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2601210","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W197038856","https://openalex.org/W782857880","https://openalex.org/W1964119857","https://openalex.org/W1998747910","https://openalex.org/W2029990599","https://openalex.org/W2034979743","https://openalex.org/W2048904478","https://openalex.org/W2083734699","https://openalex.org/W2110316735"],"related_works":["https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W3116484972","https://openalex.org/W2941986668"],"abstract_inverted_index":{"This":[0,158],"paper":[1,239],"describes":[2],"a":[3,33,39,86,153,194,198,227],"problem":[4,34,42,84,131,190],"faced":[5],"by":[6,29,78],"the":[7,13,20,25,30,54,59,72,75,79,93,101,118,145,164,173,177,189,209,218],"Public":[8],"Transport":[9],"Corporation":[10],"(PTC)":[11],"in":[12,150,172,188,225,237],"Australian":[14],"State":[15],"of":[16,22,48,58,71,74,82,140,155,162,179,197,203,229,234,243],"Victoria.":[17],"It":[18],"involved":[19],"allocation":[21,249],"locomotives":[23],"to":[24,52,64,116,167,175,245],"freight":[26],"trains":[27,55,60],"operated":[28,77],"Corporation.":[31],"Such":[32],"can":[35,96],"be":[36,97,168,241],"classified":[37],"as":[38,85,193],"multi-class":[40],"multi-locomotive":[41],"since":[43],"different":[44],"types":[45],"(or":[46],"classes)":[47],"locomotive":[49],"are":[50,61],"available":[51],"pull":[53],"and":[56,215,217],"some":[57],"heavy":[62],"enough":[63],"require":[65],"more":[66,246],"than":[67,152],"one":[68],"locomotive.":[69],"Because":[70],"features":[73],"services":[76],"PTC,":[80],"formulation":[81,106],"this":[83,105,207,238],"pure":[87],"integer":[88,186],"program":[89],"is":[90,107],"straightforward,":[91],"provided":[92],"objective":[94,165,210],"function":[95,166,211],"linearised.":[98],"However,":[99],"obtaining":[100],"optimal":[102,146],"solution":[103,147,235],"from":[104],"not.":[108],"Large":[109],"optimality":[110],"gaps":[111],"remained":[112],"after":[113],"various":[114],"attempts":[115],"tighten":[117],"problem.":[119],"Other":[120],"authors":[121],"have":[122],"reported":[123],"similar":[124,127,252],"difficulties":[125],"with":[126],"problems.":[128],"The":[129,232],"original":[130],"was":[132,148,191,212],"therefore":[133],"reformulated":[134],"using":[135],"special":[136,199],"ordered":[137,200],"covering":[138,181,201],"sets":[139,182],"type":[141],"1.":[142],"After":[143],"reformulation,":[144],"obtained":[149],"less":[151],"second":[154,228],"CPU":[156,230],"time.":[157,231],"enabled":[159],"alternative":[160],"methods":[161,233],"linearising":[163],"evaluated,":[169],"resulting":[170],"eventually":[171],"decision":[174],"extend":[176],"concept":[178],"minimal":[180],"so":[183],"that":[184],"each":[185],"variable":[187],"expressed":[192],"linear":[195,216],"sum":[196],"set":[202],"binary":[204],"variables.":[205],"In":[206],"way,":[208],"both":[213],"exact":[214],"model,":[219],"although":[220],"much":[221],"larger,":[222],"still":[223],"solved":[224],"under":[226],"proposed":[236],"should":[240],"capable":[242],"extension":[244],"general":[247],"resource":[248],"problems":[250],"exhibiting":[251],"features.":[253]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
