{"id":"https://openalex.org/W2160610679","doi":"https://doi.org/10.1051/ro/2014004","title":"A branch and bound algorithm for the two-machine flowshop problem with unit-time operations and time delays","display_name":"A branch and bound algorithm for the two-machine flowshop problem with unit-time operations and time delays","publication_year":2014,"publication_date":"2014-03-07","ids":{"openalex":"https://openalex.org/W2160610679","doi":"https://doi.org/10.1051/ro/2014004","mag":"2160610679"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2014004","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2014004","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/10.1051/ro/2014004.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014060007","display_name":"Aziz Moukrim","orcid":"https://orcid.org/0000-0003-0151-6327"},"institutions":[{"id":"https://openalex.org/I4210088387","display_name":"Heuristics and Diagnostics for Complex Systems","ror":"https://ror.org/0075hvk77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210088387","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Aziz Moukrim","raw_affiliation_strings":["Universit\u00e9de Technologie de Compi\u00e8gne, Heudiasyc, CNRS UMR 7253 Rue Roger Couttolenc CS 60319 60203 Compi\u00e8gne Cedex, France","Heuristique et Diagnostic des Syst\u00e8mes Complexes [Compi\u00e8gne]"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9de Technologie de Compi\u00e8gne, Heudiasyc, CNRS UMR 7253 Rue Roger Couttolenc CS 60319 60203 Compi\u00e8gne Cedex, France","institution_ids":[]},{"raw_affiliation_string":"Heuristique et Diagnostic des Syst\u00e8mes Complexes [Compi\u00e8gne]","institution_ids":["https://openalex.org/I4210088387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032025171","display_name":"Djamal Reba\u00efne","orcid":"https://orcid.org/0000-0002-6076-4032"},"institutions":[{"id":"https://openalex.org/I4210102957","display_name":"D\u00e9partement Math\u00e9matiques et Informatique Appliqu\u00e9es","ror":"https://ror.org/011emb038","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210102957"]},{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Djamal Rebaine","raw_affiliation_strings":["D\u00e9partement d\u2019Informatique et Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Chicoutimi, Saguenay, Canada G7H 2B1","D\u00e9partement d'Informatique et de Math\u00e9matiques"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019Informatique et Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Chicoutimi, Saguenay, Canada G7H 2B1","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement d'Informatique et de Math\u00e9matiques","institution_ids":["https://openalex.org/I4210102957","https://openalex.org/I4210161954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060984191","display_name":"Mehdi Serairi","orcid":"https://orcid.org/0000-0001-7694-601X"},"institutions":[{"id":"https://openalex.org/I4210088387","display_name":"Heuristics and Diagnostics for Complex Systems","ror":"https://ror.org/0075hvk77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210088387","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mehdi Serairi","raw_affiliation_strings":["Universit\u00e9de Technologie de Compi\u00e8gne, Heudiasyc, CNRS UMR 7253 Rue Roger Couttolenc CS 60319 60203 Compi\u00e8gne Cedex, France","Heuristique et Diagnostic des Syst\u00e8mes Complexes [Compi\u00e8gne]"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9de Technologie de Compi\u00e8gne, Heudiasyc, CNRS UMR 7253 Rue Roger Couttolenc CS 60319 60203 Compi\u00e8gne Cedex, France","institution_ids":[]},{"raw_affiliation_string":"Heuristique et Diagnostic des Syst\u00e8mes Complexes [Compi\u00e8gne]","institution_ids":["https://openalex.org/I4210088387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014060007"],"corresponding_institution_ids":["https://openalex.org/I4210088387"],"apc_list":null,"apc_paid":null,"fwci":1.8713,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87984353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"48","issue":"2","first_page":"235","last_page":"254"},"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9965999722480774,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9923999905586243,"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":0.7181869149208069},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.6612744331359863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6478388905525208},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6142177581787109},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6015224456787109},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5583914518356323},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46158888936042786},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.44058912992477417},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.4387626647949219},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.433268278837204},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.4243423342704773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26930102705955505},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.19027236104011536},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08597710728645325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.0699700117111206}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.7181869149208069},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.6612744331359863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6478388905525208},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6142177581787109},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6015224456787109},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5583914518356323},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46158888936042786},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.44058912992477417},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.4387626647949219},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.433268278837204},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.4243423342704773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26930102705955505},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.19027236104011536},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08597710728645325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0699700117111206},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2014004","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2014004","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2014__48_2_235_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2014004/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2014004.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"pmh:oai:HAL:hal-01062809v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01062809","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RAIRO - Operations Research, 2014, 48 (02), pp.235-254. &#x27E8;10.1051/ro/2014004&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:numdam.org:RO_2014__48_2_235_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2014004/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2014004.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8284766523","display_name":null,"funder_award_id":"(NSERC)","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2160610679.pdf","grobid_xml":"https://content.openalex.org/works/W2160610679.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1604211948","https://openalex.org/W1967955864","https://openalex.org/W2078664320","https://openalex.org/W2079550833","https://openalex.org/W2161560287","https://openalex.org/W2162576986"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2389899617","https://openalex.org/W1591098987","https://openalex.org/W1931020284","https://openalex.org/W4319942994","https://openalex.org/W2182290077"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"the":[5,25,35,53,70,73],"problem":[6,28],"of":[7,15,55,72,81],"scheduling,":[8],"on":[9,43],"a":[10,13,44,78],"two-machine":[11],"flowshop,":[12],"set":[14],"unit-time":[16],"operations":[17],"subject":[18],"to":[19,24,31,68],"time":[20],"delays":[21],"with":[22],"respect":[23],"makespan.":[26],"This":[27,50],"is":[29,75],"known":[30],"be":[32],"-hard":[33],"in":[34],"strong":[36],"sense.":[37],"We":[38],"propose":[39],"an":[40],"algorithm":[41,51,74],"based":[42],"branch":[45],"and":[46,58,62],"bound":[47,60],"enumeration":[48],"scheme.":[49],"includes":[52],"implementation":[54],"new":[56],"lower":[57],"upper":[59],"procedures,":[61],"dominance":[63],"rules.":[64],"A":[65],"computer":[66],"simulation":[67],"measure":[69],"performance":[71],"provided":[76],"for":[77],"wide":[79],"range":[80],"test":[82],"problems.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
