{"id":"https://openalex.org/W7161133268","doi":"https://doi.org/10.48550/arxiv.2605.13836","title":"Reachable-Set Decomposition for Real-Time Aggregation of Multi-Zone HVAC Fleets","display_name":"Reachable-Set Decomposition for Real-Time Aggregation of Multi-Zone HVAC Fleets","publication_year":2026,"publication_date":"2026-05-13","ids":{"openalex":"https://openalex.org/W7161133268","doi":"https://doi.org/10.48550/arxiv.2605.13836"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.13836","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.13836","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.13836","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050920621","display_name":"Jingguan Liu","orcid":"https://orcid.org/0009-0004-9392-222X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Jingguan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136164494","display_name":"Xiaomeng Ai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ai, Xiaomeng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136169832","display_name":"Cong Chen","orcid":"https://orcid.org/0009-0009-5102-9296"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Cong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050279908","display_name":"Shaoze Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Shaoze","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136186680","display_name":"Shichang Cui","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cui, Shichang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136165145","display_name":"Jiakun Fang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fang, Jiakun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136134565","display_name":"Jinyu Wen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wen, Jinyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.41440001130104065,"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/T10603","display_name":"Smart Grid Energy Management","score":0.41440001130104065,"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/T11185","display_name":"Integrated Energy Systems Optimization","score":0.41029998660087585,"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/T10424","display_name":"Electric Power System Optimization","score":0.09130000323057175,"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/flexibility","display_name":"Flexibility (engineering)","score":0.7153000235557556},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4984000027179718},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.48339998722076416},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47620001435279846},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.41519999504089355},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4108999967575073},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3716999888420105},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.36899998784065247}],"concepts":[{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.7153000235557556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5284000039100647},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4984000027179718},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.48339998722076416},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47620001435279846},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47189998626708984},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.41519999504089355},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4108999967575073},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3716999888420105},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.34389999508857727},{"id":"https://openalex.org/C122346748","wikidata":"https://www.wikidata.org/wiki/Q1798773","display_name":"HVAC","level":3,"score":0.32589998841285706},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.26649999618530273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2563000023365021},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.2531999945640564}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.13836","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.13836","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.13836","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.13836","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"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":{"Aggregating":[0],"building":[1],"heating,":[2],"ventilation,":[3],"and":[4,32,38,41,49,86,163,192],"air-conditioning":[5],"(HVAC)":[6],"fleets":[7,22],"provides":[8],"substantial":[9],"real-time":[10,17,88,143],"flexibility":[11,35,146,170,188],"to":[12,99,118],"power":[13,161],"system":[14],"operations.":[15],"However,":[16],"aggregation":[18],"of":[19,46,160,182],"multi-zone":[20],"HVAC":[21,139],"faces":[23],"two":[24],"key":[25],"challenges:":[26],"(i)":[27],"strong":[28],"coupling":[29],"across":[30],"zones":[31],"time":[33],"makes":[34],"characterization":[36],"high-dimensional":[37],"computationally":[39],"demanding,":[40],"(ii)":[42],"the":[43,62,91,112,123,142,168,180,183],"sequential":[44],"revelation":[45],"temperature":[47],"states":[48],"exogenous":[50],"conditions":[51],"requires":[52],"that":[53,108],"decisions":[54],"made":[55],"at":[56],"each":[57],"period":[58],"preserve":[59],"feasibility":[60,102],"over":[61,122],"remaining":[63,125],"horizon":[64],"using":[65],"only":[66],"currently":[67],"realized":[68],"information.":[69],"To":[70],"address":[71],"these":[72],"challenges,":[73],"this":[74],"paper":[75],"proposes":[76],"a":[77,87,173],"reachable-set":[78],"decomposition":[79,84],"framework":[80,185],"comprising":[81],"an":[82],"offline":[83,92],"stage":[85],"policy.":[89],"In":[90,141],"stage,":[93,144],"backward":[94],"reachable":[95,114],"sets":[96],"are":[97],"formulated":[98],"encode":[100],"remaining-horizon":[101],"into":[103],"per-period":[104],"state":[105,110],"constraints,":[106],"so":[107],"any":[109,164],"within":[111,167],"current":[113],"set":[115],"is":[116,131,147],"guaranteed":[117],"sustain":[119],"feasible":[120,175],"operation":[121],"entire":[124],"horizon.":[126],"A":[127],"tailored":[128],"inner":[129],"approximation":[130],"then":[132],"developed":[133],"for":[134],"tractable":[135],"calculation":[136],"in":[137,186],"multi-zone-coupled":[138],"settings.":[140],"aggregate":[145,187],"computed":[148],"efficiently":[149],"via":[150],"building-level":[151],"parallel":[152],"linear":[153],"programs":[154],"followed":[155],"by":[156],"closed-form":[157],"Minkowski":[158],"summation":[159],"intervals,":[162],"regulation":[165],"signal":[166],"reported":[169],"interval":[171],"admits":[172],"recursively":[174],"disaggregation.":[176],"Case":[177],"studies":[178],"demonstrate":[179],"effectiveness":[181],"proposed":[184],"characterization,":[189],"disaggregation":[190],"feasibility,":[191],"scalable":[193],"computation.":[194]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-15T00:00:00"}
