{"id":"https://openalex.org/W4410092679","doi":"https://doi.org/10.1007/s12351-025-00924-2","title":"A comparative analysis of MIP formulations for the multi-mode resource-constrained independent task scheduling problem","display_name":"A comparative analysis of MIP formulations for the multi-mode resource-constrained independent task scheduling problem","publication_year":2025,"publication_date":"2025-05-05","ids":{"openalex":"https://openalex.org/W4410092679","doi":"https://doi.org/10.1007/s12351-025-00924-2"},"language":"en","primary_location":{"id":"doi:10.1007/s12351-025-00924-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12351-025-00924-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12351-025-00924-2.pdf","source":{"id":"https://openalex.org/S140563256","display_name":"Operational Research","issn_l":"1109-2858","issn":["1109-2858","1866-1505"],"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":"Operational 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/s12351-025-00924-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016836636","display_name":"Maryam Al-Khatib","orcid":"https://orcid.org/0000-0002-1436-0766"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Maryam Al-Khatib","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar","institution_ids":["https://openalex.org/I60342839"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057119785","display_name":"Mohamed Haouari","orcid":"https://orcid.org/0000-0003-0767-8220"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Mohamed Haouari","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar","institution_ids":["https://openalex.org/I60342839"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047055534","display_name":"Mohamed Kharbeche","orcid":"https://orcid.org/0000-0003-1469-7163"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":true,"raw_author_name":"Mohamed Kharbeche","raw_affiliation_strings":["Qatar Transportation and Traffic Safety Center, College of Engineering, Qatar University,  P.O. Box 2713, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0003-1469-7163","affiliations":[{"raw_affiliation_string":"Qatar Transportation and Traffic Safety Center, College of Engineering, Qatar University,  P.O. Box 2713, Doha, Qatar","institution_ids":["https://openalex.org/I60342839"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047055534"],"corresponding_institution_ids":["https://openalex.org/I60342839"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09794027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9894999861717224,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9581000208854675,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.7407745718955994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6573002338409424},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5217288732528687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4969780743122101},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4956091642379761},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.44051674008369446},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.42989468574523926},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.38853397965431213},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27685776352882385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1780463457107544},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07626721262931824},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.07428967952728271},{"id":"https://openalex.org/keywords/human\u2013computer-interaction","display_name":"Human\u2013computer interaction","score":0.056266337633132935}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7407745718955994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6573002338409424},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5217288732528687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4969780743122101},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4956091642379761},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.44051674008369446},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.42989468574523926},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.38853397965431213},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27685776352882385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1780463457107544},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07626721262931824},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.07428967952728271},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.056266337633132935},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s12351-025-00924-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12351-025-00924-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12351-025-00924-2.pdf","source":{"id":"https://openalex.org/S140563256","display_name":"Operational Research","issn_l":"1109-2858","issn":["1109-2858","1866-1505"],"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":"Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:operea:v:25:y:2025:i:2:d:10.1007_s12351-025-00924-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s12351-025-00924-2","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:figshare.com:article/30406234","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":null,"raw_type":"Journal contribution"}],"best_oa_location":{"id":"doi:10.1007/s12351-025-00924-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12351-025-00924-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12351-025-00924-2.pdf","source":{"id":"https://openalex.org/S140563256","display_name":"Operational Research","issn_l":"1109-2858","issn":["1109-2858","1866-1505"],"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":"Operational Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322472","display_name":"Qatar University","ror":"https://ror.org/00yhnba62"},{"id":"https://openalex.org/F4320334468","display_name":"Qatar National Library","ror":"https://ror.org/02jv93662"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410092679.pdf","grobid_xml":"https://content.openalex.org/works/W4410092679.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W40309320","https://openalex.org/W1966068620","https://openalex.org/W1966303487","https://openalex.org/W1967721375","https://openalex.org/W1973650591","https://openalex.org/W1990074590","https://openalex.org/W1999539329","https://openalex.org/W2003025148","https://openalex.org/W2003759470","https://openalex.org/W2004562467","https://openalex.org/W2010482273","https://openalex.org/W2023044784","https://openalex.org/W2024237395","https://openalex.org/W2024742034","https://openalex.org/W2042583024","https://openalex.org/W2067801697","https://openalex.org/W2077967512","https://openalex.org/W2079109527","https://openalex.org/W2080505689","https://openalex.org/W2091556819","https://openalex.org/W2095332973","https://openalex.org/W2116356920","https://openalex.org/W2137920965","https://openalex.org/W2235145741","https://openalex.org/W2484826121","https://openalex.org/W2505968561","https://openalex.org/W2548740804","https://openalex.org/W3005526525","https://openalex.org/W3015452701","https://openalex.org/W4205878546","https://openalex.org/W4229441437","https://openalex.org/W4280521648","https://openalex.org/W4294989843","https://openalex.org/W4298009688","https://openalex.org/W4313891683"],"related_works":["https://openalex.org/W3172150420","https://openalex.org/W2107725657","https://openalex.org/W2112121444","https://openalex.org/W2509452605","https://openalex.org/W3112689649","https://openalex.org/W2148608945","https://openalex.org/W2998357381","https://openalex.org/W2101020326","https://openalex.org/W2808535280","https://openalex.org/W3204654320"],"abstract_inverted_index":{"Abstract":[0],"We":[1,33,52],"consider":[2],"the":[3,18,28,54],"problem":[4,24],"of":[5,21,30,46,56,92,113],"scheduling":[6],"independent":[7],"multi-mode":[8],"tasks":[9,97],"with":[10,79,96],"multiple":[11],"renewable":[12],"resource":[13],"constraints,":[14],"aiming":[15],"to":[16,101,104],"minimize":[17],"weighted":[19],"sum":[20],"tardinesses.":[22],"This":[23],"commonly":[25],"arises":[26],"in":[27],"context":[29],"multiproject":[31],"scheduling.":[32],"propose":[34],"three":[35],"pseudo-polynomial":[36],"mixed-integer":[37],"programming":[38,50],"formulations":[39,106],"and":[40,115],"conduct":[41],"a":[42,64],"theoretical":[43],"comparative":[44],"analysis":[45],"their":[47],"respective":[48],"linear":[49],"relaxations.":[51],"present":[53],"results":[55],"extensive":[57],"computational":[58],"experiments":[59],"that":[60,63,107],"provide":[61],"evidence":[62],"formulation":[65],"based":[66],"on":[67,108],"Dantzig\u2013Wolfe":[68],"reformulation":[69],"exhibits":[70],"very":[71],"good":[72],"empirical":[73],"performance":[74],"consistently":[75],"solving":[76],"all":[77],"instances":[78,95],"fewer":[80],"than":[81],"30":[82],"tasks.":[83],"In":[84],"addition,":[85],"it":[86],"achieved":[87,110],"an":[88],"average":[89,109],"success":[90,111],"rate":[91],"94.28%":[93],"for":[94],"ranging":[98],"from":[99],"40":[100],"100,":[102],"compared":[103],"other":[105],"rates":[112],"64.28%":[114],"58.57%.":[116]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}