{"id":"https://openalex.org/W7123336269","doi":"https://doi.org/10.1109/cdc57313.2025.11312372","title":"Distributed Combined Space Partitioning and Network Flow Optimization: an Optimal Transport Approach","display_name":"Distributed Combined Space Partitioning and Network Flow Optimization: an Optimal Transport Approach","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123336269","doi":"https://doi.org/10.1109/cdc57313.2025.11312372"},"language":"en","primary_location":{"id":"doi:10.1109/cdc57313.2025.11312372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5119959631","display_name":"Th\u00e9o Laurentin","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":"Th\u00e9o Laurentin","raw_affiliation_strings":["Polytechnique Montreal and GERAD,Department of Electrical Engineering,Montreal,Canada,H3T 1J4"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnique Montreal and GERAD,Department of Electrical Engineering,Montreal,Canada,H3T 1J4","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055051320","display_name":"Patrick Coirault","orcid":"https://orcid.org/0000-0001-7359-5728"},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrick Coirault","raw_affiliation_strings":["Universit&#x00E9; de Poitiers,LIAS (UR 20299),Poitiers Cedex 9,France,86073"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Poitiers,LIAS (UR 20299),Poitiers Cedex 9,France,86073","institution_ids":["https://openalex.org/I32881790"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083803860","display_name":"Emmanuel Moulay","orcid":"https://orcid.org/0000-0001-8687-884X"},"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/I2802931824","display_name":"Institut Pprime","ror":"https://ror.org/05vjdsn22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I171246369","https://openalex.org/I2802931824","https://openalex.org/I32881790","https://openalex.org/I4210095849"]},{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emmanuel Moulay","raw_affiliation_strings":["Universit&#x00E9; de Poitiers,XLIM (UMR CNRS 7252),Futuroscope Chasseneuil Cedex,France,86962"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Poitiers,XLIM (UMR CNRS 7252),Futuroscope Chasseneuil Cedex,France,86962","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2802931824","https://openalex.org/I32881790"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032213221","display_name":"Antoine Lesage\u2010Landry","orcid":"https://orcid.org/0000-0001-9652-6557"},"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":"Antoine Lesage-Landry","raw_affiliation_strings":["Polytechnique Montreal and GERAD,Department of Electrical Engineering,Montreal,Canada,H3T 1J4"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnique Montreal and GERAD,Department of Electrical Engineering,Montreal,Canada,H3T 1J4","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012980200","display_name":"J\u00e9r\u00f4me Le Ny","orcid":"https://orcid.org/0000-0002-3417-4135"},"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":"Jerome Le Ny","raw_affiliation_strings":["Polytechnique Montreal and GERAD,Department of Electrical Engineering,Montreal,Canada,H3T 1J4"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnique Montreal and GERAD,Department of Electrical Engineering,Montreal,Canada,H3T 1J4","institution_ids":["https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.61034007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2204","last_page":"2209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.4702000021934509,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10847","display_name":"Advanced Optical Network Technologies","score":0.4702000021934509,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.23999999463558197,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.03700000047683716,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/flow-network","display_name":"Flow network","score":0.5817999839782715},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.5385000109672546},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4731000065803528},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.41769999265670776},{"id":"https://openalex.org/keywords/control-reconfiguration","display_name":"Control reconfiguration","score":0.4041999876499176},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.38029998540878296},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3718999922275543},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.365200012922287},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.36079999804496765},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.34869998693466187}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6761000156402588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6340000033378601},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5817999839782715},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.5385000109672546},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4966000020503998},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4731000065803528},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.41769999265670776},{"id":"https://openalex.org/C119701452","wikidata":"https://www.wikidata.org/wiki/Q5165881","display_name":"Control reconfiguration","level":2,"score":0.4041999876499176},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.38029998540878296},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3718999922275543},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.365200012922287},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.36079999804496765},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.34869998693466187},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.3449000120162964},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3418000042438507},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.34049999713897705},{"id":"https://openalex.org/C192126672","wikidata":"https://www.wikidata.org/wiki/Q1068715","display_name":"Telecommunications network","level":2,"score":0.326200008392334},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.3028999865055084},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C157469704","wikidata":"https://www.wikidata.org/wiki/Q2585642","display_name":"Maximum flow problem","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C2779313249","wikidata":"https://www.wikidata.org/wiki/Q7371615","display_name":"Flow routing","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C104122410","wikidata":"https://www.wikidata.org/wiki/Q1416406","display_name":"Network model","level":2,"score":0.25279998779296875},{"id":"https://openalex.org/C2780860992","wikidata":"https://www.wikidata.org/wiki/Q16887485","display_name":"Network partition","level":2,"score":0.2515999972820282},{"id":"https://openalex.org/C2778711553","wikidata":"https://www.wikidata.org/wiki/Q924286","display_name":"Transport network","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:publications.polymtl.ca:71510","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/71510/","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":"Communication de conf\u00e9rence"},{"id":"pmh:oai:HAL:hal-05462207v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05462207","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":"2025 IEEE 64th Conference on Decision and Control (CDC), Dec 2025, Rio de Janeiro, Brazil. pp.2204-2209, &#x27E8;10.1109/CDC57313.2025.11312372&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,81],"paper":[1],"studies":[2],"a":[3,61,73,78,88,125,152],"combined":[4],"space":[5,69],"partitioning":[6,70],"and":[7,44,97,140,180],"network":[8,95,104,188],"flow":[9,75],"optimization":[10],"problem,":[11,66,160],"with":[12,72],"applications":[13],"to":[14,31,41,92,105,150,183],"large-scale":[15],"electric":[16,185],"power,":[17],"transportation,":[18],"or":[19],"communication":[20,48],"systems.":[21],"In":[22],"dense":[23],"wireless":[24],"networks":[25],"for":[26,113],"instance,":[27],"one":[28],"may":[29],"want":[30],"simultaneously":[32],"optimize":[33],"the":[34,46,51,56,68,85,98,103,107,119,129,159,164,177],"assignment":[35,86],"of":[36,87,100,121,131],"many":[37],"spatially":[38],"distributed":[39,153],"users":[40],"base":[42],"stations":[43],"route":[45],"resulting":[47],"traffic":[49],"through":[50],"backbone":[52],"network.":[53,80],"We":[54,146],"formulate":[55],"overall":[57],"problem":[58,76,123],"by":[59],"coupling":[60],"semi-discrete":[62],"optimal":[63],"transport":[64],"(SDOT)":[65],"capturing":[67],"component,":[71],"minimum-cost":[74],"on":[77,170],"discrete":[79],"formulation":[82,120],"jointly":[83],"optimizes":[84],"continuous":[89],"demand":[90],"distribution":[91,187],"certain":[93],"endpoint":[94],"nodes":[96,162],"routing":[99],"flows":[101],"over":[102],"serve":[106],"demand,":[108],"under":[109],"capacity":[110],"constraints.":[111],"As":[112],"SDOT":[114],"problems,":[115],"we":[116],"establish":[117],"that":[118,142],"our":[122],"admits":[124],"tight":[126],"relaxation":[127],"taking":[128],"form":[130],"an":[132,184],"infinite-dimensional":[133],"linear":[134],"program,":[135],"derive":[136],"its":[137,181],"finite-dimensional":[138],"dual,":[139],"prove":[141],"strong":[143],"duality":[144],"holds.":[145],"leverage":[147],"this":[148],"theory":[149],"design":[151],"dual":[154],"(super)gradient":[155],"ascent":[156],"algorithm":[157],"solving":[158],"where":[161],"in":[163],"graph":[165],"perform":[166],"computations":[167],"based":[168],"solely":[169],"locally":[171],"available":[172],"information.":[173],"Simulation":[174],"results":[175],"illustrate":[176],"algorithm\u2019s":[178],"performance":[179],"applicability":[182],"power":[186],"reconfiguration":[189],"problem.":[190]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2026-01-14T00:00:00"}
