{"id":"https://openalex.org/W7127595034","doi":"https://doi.org/10.1002/net.70032","title":"A Dynamic Capacitated Facility Location Problem With Modular Capacities and Best Service Assignment: A Comparison of Formulations","display_name":"A Dynamic Capacitated Facility Location Problem With Modular Capacities and Best Service Assignment: A Comparison of Formulations","publication_year":2026,"publication_date":"2026-02-04","ids":{"openalex":"https://openalex.org/W7127595034","doi":"https://doi.org/10.1002/net.70032"},"language":"en","primary_location":{"id":"doi:10.1002/net.70032","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.70032","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/A5020228953","display_name":"Bernardetta Addis","orcid":"https://orcid.org/0000-0003-4843-8709"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bernardetta Addis","raw_affiliation_strings":["Universit\u00e9 de Lorraine, CNRS, LORIA  Nancy France"],"raw_orcid":"https://orcid.org/0000-0003-4843-8709","affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, LORIA  Nancy France","institution_ids":["https://openalex.org/I4210121838","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106441808","display_name":"Giuliana Carello","orcid":"https://orcid.org/0000-0001-5163-9865"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuliana Carello","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria Politecnico di Milano  Milano Italy"],"raw_orcid":"https://orcid.org/0000-0001-5163-9865","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria Politecnico di Milano  Milano Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5119046286","display_name":"Ga\u00ebl Reynal","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":"Ga\u00ebl Reynal","raw_affiliation_strings":["Department of Mathematics and Industrial Engineering Polytechnique Montr\u00e9al  Montr\u00e9al Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Industrial Engineering Polytechnique Montr\u00e9al  Montr\u00e9al Canada","institution_ids":["https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020228953"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19196157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"87","issue":"4","first_page":"428","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.8406000137329102,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource 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/T11502","display_name":"Facility Location and Emergency Management","score":0.8406000137329102,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource 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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.046799998730421066,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.044599998742341995,"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/modular-design","display_name":"Modular design","score":0.8271999955177307},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7817000150680542},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.6934000253677368},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6610000133514404},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5787000060081482},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.48399999737739563},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45590001344680786}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.8271999955177307},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7817000150680542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7470999956130981},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.6934000253677368},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6636999845504761},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6610000133514404},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5787000060081482},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.48399999737739563},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45590001344680786},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.43479999899864197},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.3921000063419342},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.34200000762939453},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.3382999897003174},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.336899995803833},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.303600013256073},{"id":"https://openalex.org/C116537","wikidata":"https://www.wikidata.org/wiki/Q2169973","display_name":"Service provider","level":3,"score":0.2824999988079071},{"id":"https://openalex.org/C181889124","wikidata":"https://www.wikidata.org/wiki/Q380204","display_name":"Service level","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C140781008","wikidata":"https://www.wikidata.org/wiki/Q1221081","display_name":"Service quality","level":3,"score":0.2558000087738037}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/net.70032","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.70032","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"},{"id":"pmh:oai:publications.polymtl.ca:73265","is_oa":false,"landing_page_url":null,"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:HAL:hal-05505375v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05505375","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":"Networks, 2026, ⟨10.1002/net.70032⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1515641485","https://openalex.org/W1697178956","https://openalex.org/W1881614784","https://openalex.org/W1969109053","https://openalex.org/W1970024900","https://openalex.org/W1972198184","https://openalex.org/W1978115795","https://openalex.org/W1983610497","https://openalex.org/W1987110435","https://openalex.org/W1996347936","https://openalex.org/W2007540348","https://openalex.org/W2007930753","https://openalex.org/W2011781861","https://openalex.org/W2047504402","https://openalex.org/W2048847318","https://openalex.org/W2091630182","https://openalex.org/W2121653318","https://openalex.org/W2124042983","https://openalex.org/W2149454052","https://openalex.org/W2153005031","https://openalex.org/W2153794195","https://openalex.org/W3050209628","https://openalex.org/W3174790166","https://openalex.org/W4303437966","https://openalex.org/W4392454885","https://openalex.org/W4416095522"],"related_works":[],"abstract_inverted_index":{"ABSTRACT":[0],"This":[1],"paper":[2],"introduces":[3],"a":[4,95,116,159],"variant":[5],"of":[6,33,40,73,89,107,140],"the":[7,17,24,29,37,54,65,70,105,108,138,141,153],"dynamic":[8],"Facility":[9],"Location":[10],"Problem":[11],"with":[12,115,121],"modular":[13],"capacities.":[14],"Inspired":[15],"by":[16,20,64],"challenges":[18],"faced":[19],"cellular":[21],"telecommunication":[22],"networks,":[23],"problem":[25],"seeks":[26],"to":[27,35,53,123,133,137],"optimize":[28],"placement":[30],"and":[31,45,82,100,127,147,156],"equipment":[32],"facilities":[34,49],"meet":[36],"fluctuating":[38],"demand":[39],"clients":[41,60],"while":[42],"minimizing":[43],"installation":[44],"operational":[46],"costs.":[47],"Selected":[48],"must":[50,61],"provide":[51],"coverage":[52],"whole":[55],"considered":[56],"area.":[57],"In":[58],"addition,":[59],"be":[62,134],"served":[63],"active":[66],"facility":[67],"that":[68],"provides":[69,149],"best":[71],"quality":[72],"service.":[74],"We":[75],"propose":[76,94],"two":[77],"integer":[78],"linear":[79],"programming":[80],"formulations":[81,131,154],"analyze":[83],"their":[84],"theoretical":[85,146],"properties":[86],"in":[87],"terms":[88],"lower":[90],"bound.":[91],"Furthermore,":[92],"we":[93,111],"reinforcement":[96],"for":[97,163],"one":[98],"formulation":[99],"valid":[101],"inequalities.":[102],"To":[103],"evaluate":[104],"performance":[106],"proposed":[109],"formulations,":[110],"performed":[112],"computational":[113],"experiments":[114],"commercial":[117],"solver":[118],"on":[119,152],"instances":[120],"up":[122],"20":[124],"candidate":[125],"sites":[126],"60":[128],"clients.":[129],"The":[130,143],"proved":[132],"very":[135],"sensitive":[136],"size":[139],"instances.":[142],"analysis,":[144],"both":[145],"numerical,":[148],"meaningful":[150],"insights":[151],"performance,":[155],"it":[157],"constitutes":[158],"key":[160],"starting":[161],"point":[162],"developing":[164],"further":[165],"approaches,":[166],"either":[167],"exact":[168],"methods":[169],"or":[170],"heuristics.":[171]},"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2026-02-06T00:00:00"}