{"id":"https://openalex.org/W2035888716","doi":"https://doi.org/10.1007/s13675-013-0012-1","title":"Separating valid odd-cycle and odd-set inequalities for the multiple depot vehicle scheduling problem","display_name":"Separating valid odd-cycle and odd-set inequalities for the multiple depot vehicle scheduling problem","publication_year":2013,"publication_date":"2013-07-23","ids":{"openalex":"https://openalex.org/W2035888716","doi":"https://doi.org/10.1007/s13675-013-0012-1","mag":"2035888716"},"language":"en","primary_location":{"id":"doi:10.1007/s13675-013-0012-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-013-0012-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1007/s13675-013-0012-1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078093743","display_name":"Mounira Groiez","orcid":null},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mounira Groiez","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques et g\u00e9nie industriel, \u00c9cole Polytechnique de Montr\u00e9al, C.P. 6079, succ. Centre-ville, H3C 3A7, Montreal, Canada","Ecole Polytechnique de Montr\u00e9al,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques et g\u00e9nie industriel, \u00c9cole Polytechnique de Montr\u00e9al, C.P. 6079, succ. Centre-ville, H3C 3A7, Montreal, Canada","institution_ids":[]},{"raw_affiliation_string":"Ecole Polytechnique de Montr\u00e9al,","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020707737","display_name":"Guy Desaulniers","orcid":"https://orcid.org/0000-0003-4469-9813"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Guy Desaulniers","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques et g\u00e9nie industriel, \u00c9cole Polytechnique de Montr\u00e9al, and GERAD, C.P. 6079, succ. Centre-ville, H3C 3A7, Montreal, Canada","\u00c9cole Polytechnique de Montr\u00e9al, and GERAD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques et g\u00e9nie industriel, \u00c9cole Polytechnique de Montr\u00e9al, and GERAD, C.P. 6079, succ. Centre-ville, H3C 3A7, Montreal, Canada","institution_ids":[]},{"raw_affiliation_string":"\u00c9cole Polytechnique de Montr\u00e9al, and GERAD","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057369380","display_name":"Ahmed Hadjar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112290","display_name":"Kronos (Canada)","ror":"https://ror.org/022sa0k38","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210112290"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ahmed Hadjar","raw_affiliation_strings":["Kronos Canadian Systems Inc., 3535 Queen Mary Road, Suite 650, H3V 1H8, Montreal, Canada","Kronos Canadian Systems Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kronos Canadian Systems Inc., 3535 Queen Mary Road, Suite 650, H3V 1H8, Montreal, Canada","institution_ids":[]},{"raw_affiliation_string":"Kronos Canadian Systems Inc","institution_ids":["https://openalex.org/I4210112290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045236821","display_name":"Odile Marcotte","orcid":"https://orcid.org/0000-0002-8015-2084"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Odile Marcotte","raw_affiliation_strings":["D\u00e9partement d\u2019informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, and GERAD, C.P. 8888, succ. Centre-ville, H3C 3P8, Montreal, Canada","Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, and GERAD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, and GERAD, C.P. 8888, succ. Centre-ville, H3C 3P8, Montreal, Canada","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, and GERAD","institution_ids":["https://openalex.org/I159129438","https://openalex.org/I4210133247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045236821"],"corresponding_institution_ids":["https://openalex.org/I159129438","https://openalex.org/I4210133247"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":0.6988,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76067232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"3-4","first_page":"283","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9955999851226807,"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/depot","display_name":"Depot","score":0.6960206627845764},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.651341438293457},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.650970995426178},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.5177699327468872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48961764574050903},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.4411601722240448},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.4362636208534241},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.422727108001709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42008256912231445},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3451572060585022}],"concepts":[{"id":"https://openalex.org/C2776561332","wikidata":"https://www.wikidata.org/wiki/Q5554853","display_name":"Depot","level":2,"score":0.6960206627845764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.651341438293457},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.650970995426178},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.5177699327468872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48961764574050903},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.4411601722240448},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.4362636208534241},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.422727108001709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42008256912231445},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3451572060585022},{"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s13675-013-0012-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-013-0012-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:681475cce94b4a6ab9301d182c93da08","is_oa":true,"landing_page_url":"https://doaj.org/article/681475cce94b4a6ab9301d182c93da08","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURO Journal on Computational Optimization, Vol 1, Iss 3, Pp 283-312 (2013)","raw_type":"article"},{"id":"pmh:oai:publications.polymtl.ca:13817","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/13817/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"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 de revue"}],"best_oa_location":{"id":"doi:10.1007/s13675-013-0012-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-013-0012-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.44999998807907104}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W37994088","https://openalex.org/W194441499","https://openalex.org/W620937263","https://openalex.org/W1515773341","https://openalex.org/W1968143987","https://openalex.org/W1973211560","https://openalex.org/W1978902070","https://openalex.org/W1985234625","https://openalex.org/W1989427338","https://openalex.org/W2023589711","https://openalex.org/W2026014147","https://openalex.org/W2050001280","https://openalex.org/W2066554880","https://openalex.org/W2068123526","https://openalex.org/W2078928589","https://openalex.org/W2098400882","https://openalex.org/W2102333775","https://openalex.org/W2123805664","https://openalex.org/W2126847028","https://openalex.org/W2144303296","https://openalex.org/W2149454052","https://openalex.org/W2412657279","https://openalex.org/W2595833503","https://openalex.org/W2612671038","https://openalex.org/W6646561610"],"related_works":["https://openalex.org/W4231500168","https://openalex.org/W2131559541","https://openalex.org/W90079504","https://openalex.org/W2274980411","https://openalex.org/W2032436423","https://openalex.org/W3141113327","https://openalex.org/W2114164426","https://openalex.org/W3035974271","https://openalex.org/W1561045713","https://openalex.org/W4387035774"],"abstract_inverted_index":{"We":[0,46],"consider":[1],"the":[2,8,25,34,49,60,71,76],"multicommodity":[3,61],"network":[4],"flow":[5,62],"formulation":[6],"of":[7,51,75],"multiple":[9],"depot":[10],"vehicle":[11],"scheduling":[12],"problem":[13],"(MDVSP)":[14],"and":[15,73],"investigate":[16],"several":[17],"strategies":[18],"within":[19],"a":[20,52],"branch-and-cut":[21],"framework":[22],"for":[23,32,55],"solving":[24],"MDVSP.":[26],"In":[27],"particular,":[28],"we":[29,65],"compare":[30],"subalgorithms":[31],"separating":[33],"cutting":[35],"planes":[36],"introduced":[37],"by":[38],"Hadjar":[39],"et":[40],"al.":[41],"(Oper":[42],"Res":[43],"54:130\u2013149,":[44],"2006).":[45],"also":[47],"evaluate":[48],"effectiveness":[50],"new":[53],"criterion":[54],"fixing":[56],"some":[57],"variables":[58],"in":[59],"formulation.":[63],"Finally,":[64],"present":[66],"computational":[67],"experiments":[68],"to":[69],"illustrate":[70],"strengths":[72],"weaknesses":[74],"strategies.":[77]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
