{"id":"https://openalex.org/W2284213034","doi":"https://doi.org/10.7916/d8d79b7v","title":"Distributed and Large-Scale Optimization","display_name":"Distributed and Large-Scale Optimization","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2284213034","doi":"https://doi.org/10.7916/d8d79b7v","mag":"2284213034"},"language":"en","primary_location":{"id":"pmh:oai:academiccommons.columbia.edu:10.7916/D8D79B7V","is_oa":false,"landing_page_url":"https://doi.org/10.7916/D8D79B7V","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Theses"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.7916/d8d79b7v","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072608035","display_name":"Abdulrahman Kalbat","orcid":"https://orcid.org/0000-0003-4615-3654"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ali Younis Kalbat, Abdulrahman Younis","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072608035"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01232469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9959999918937683,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/scale","display_name":"Scale (ratio)","score":0.5832443833351135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5257229208946228},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.19614726305007935},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.09146037697792053}],"concepts":[{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5832443833351135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5257229208946228},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.19614726305007935},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.09146037697792053}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:academiccommons.columbia.edu:10.7916/D8D79B7V","is_oa":false,"landing_page_url":"https://doi.org/10.7916/D8D79B7V","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Theses"},{"id":"mag:2284213034","is_oa":false,"landing_page_url":"https://academiccommons.columbia.edu/doi/10.7916/D8D79B7V","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"doi:10.7916/d8d79b7v","is_oa":true,"landing_page_url":"https://doi.org/10.7916/d8d79b7v","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"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":"article-journal"}],"best_oa_location":{"id":"doi:10.7916/d8d79b7v","is_oa":true,"landing_page_url":"https://doi.org/10.7916/d8d79b7v","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"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":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323593","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1521492382","https://openalex.org/W1529743344","https://openalex.org/W1880424195","https://openalex.org/W1964845553","https://openalex.org/W1966333543","https://openalex.org/W1971016514","https://openalex.org/W1978926540","https://openalex.org/W1985123706","https://openalex.org/W1986080131","https://openalex.org/W1993000710","https://openalex.org/W2001238654","https://openalex.org/W2005102197","https://openalex.org/W2014495508","https://openalex.org/W2025621761","https://openalex.org/W2045079045","https://openalex.org/W2058007452","https://openalex.org/W2069525910","https://openalex.org/W2071143636","https://openalex.org/W2076261573","https://openalex.org/W2085523940","https://openalex.org/W2087493302","https://openalex.org/W2090336723","https://openalex.org/W2094631364","https://openalex.org/W2095019332","https://openalex.org/W2106424475","https://openalex.org/W2108130008","https://openalex.org/W2110540077","https://openalex.org/W2111836897","https://openalex.org/W2116793595","https://openalex.org/W2121154010","https://openalex.org/W2122700623","https://openalex.org/W2128166312","https://openalex.org/W2128737109","https://openalex.org/W2134172715","https://openalex.org/W2135519533","https://openalex.org/W2136598296","https://openalex.org/W2139991162","https://openalex.org/W2142333440","https://openalex.org/W2146826069","https://openalex.org/W2149185571","https://openalex.org/W2158983145","https://openalex.org/W2159857480","https://openalex.org/W2164278908","https://openalex.org/W2166778103","https://openalex.org/W2169488608","https://openalex.org/W2185133926","https://openalex.org/W2296319761","https://openalex.org/W3100348600","https://openalex.org/W3102961917","https://openalex.org/W3117493475"],"related_works":["https://openalex.org/W414151767","https://openalex.org/W945602010","https://openalex.org/W1443037922","https://openalex.org/W595339609","https://openalex.org/W41736698","https://openalex.org/W2609412839","https://openalex.org/W1479694349","https://openalex.org/W428203260","https://openalex.org/W3015011570","https://openalex.org/W2338196106","https://openalex.org/W3023314176","https://openalex.org/W3120378146","https://openalex.org/W1574961134","https://openalex.org/W2948646470","https://openalex.org/W197522920","https://openalex.org/W986411852","https://openalex.org/W2551594956","https://openalex.org/W1512179942","https://openalex.org/W2063486631","https://openalex.org/W3099416763"],"abstract_inverted_index":{"This":[0,56],"dissertation":[1,57],"is":[2,88,192,214,227,281,301,579],"motivated":[3],"by":[4,140,178,261,481,529,542,594],"the":[5,15,48,66,99,155,179,187,202,219,232,247,256,272,304,309,325,334,347,406,439,471,475,483,490,506,523,526,547,552,562,571,589,597,606],"pressing":[6],"need":[7],"for":[8,90,200,218,424,588],"solving":[9,26,159,201],"real-world":[10,164],"large-scale":[11,71,165,207],"optimization":[12,31,72,167,369],"problems":[13,28,32,62,168,307,365,382],"with":[14,63,255,387,450,522],"main":[16,49],"objective":[17,188,578],"of":[18,25,51,70,103,124,133,154,163,181,189,205,223,258,275,291,303,311,363,389,445,474,485,498],"developing":[19],"scalable":[20],"algorithms":[21],"that":[22,110,121,169,380,517],"are":[23,47,75,518],"capable":[24],"such":[27,38],"efficiently.":[29],"Large-scale":[30],"naturally":[33],"appear":[34],"in":[35,53,231,269,308,324,465,487,502,525,555],"complex":[36],"systems":[37,50],"as":[39,143,145,173,316,366,533],"power":[40,185,209,224,242,466,500,599],"networks":[41,467],"and":[42,68,85,136,197,221,229,245,344,427,492,513,538,564],"distributed":[43,294,337,499,515,585],"control":[44,312,338,463,470,549],"systems,":[45,313],"which":[46,74,226,314,371],"interest":[52],"this":[54,81,125,190,252,329,543],"work.":[55],"aims":[58,468],"to":[59,65,184,193,263,271,321,349,412,433,469,489,520,580,601],"address":[60],"four":[61],"regards":[64],"theory":[67],"application":[69,180],"problems,":[73],"explained":[76],"below:":[77],"Chapter":[78,175,287,459,556],"2:":[79],"In":[80,250,328,558],"chapter,":[82,330],"a":[83,107,112,128,160,195,206,240,350,367,394,403,414,435,478,567,582,614],"fast":[84,196,268],"parallelizable":[86,198],"algorithm":[87,109,126,157,199,237,253,280],"developed":[89,554],"an":[91,292,297,317,372],"arbitrary":[92],"decomposable":[93],"semidefinite":[94],"program":[95],"(SDP).":[96],"Based":[97],"on":[98,283,360,570,605],"alternating":[100],"direction":[101],"method":[102,300],"multipliers,":[104],"we":[105,331,545,560],"design":[106,194,290,444,581],"numerical":[108],"has":[111,127],"guaranteed":[113],"convergence":[114],"under":[115],"very":[116,267],"mild":[117],"assumptions.":[118],"We":[119,378,417],"show":[120,379],"each":[122,362,425,602],"iteration":[123],"simple":[129],"closed-form":[130],"solution,":[131],"consisting":[132],"matrix":[134,397],"multiplications":[135],"eigenvalue":[137],"decompositions":[138],"performed":[139],"individual":[141],"agents":[142],"well":[144],"information":[146],"exchanges":[147],"between":[148],"neighboring":[149,611],"agents.":[150],"The":[151,235,278,289,443,461,495,577],"cheap":[152,421],"iterations":[153],"proposed":[156,236,279],"enable":[158,239],"wide":[161],"spectrum":[162],"conic":[166],"could":[170],"be":[171,376,399,410,457],"reformulated":[172],"SDP.":[174],"3:":[176],"Motivated":[177,541],"sparse":[182,384],"SDPs":[183],"networks,":[186,225],"chapter":[191],"SDP":[203,373,385,396,422,441],"relaxation":[204,374,423],"optimal":[208,265,293,336,584],"flow":[210],"(OPF)":[211],"problem.":[212],"OPF":[213],"fundamental":[215,306],"problem":[216,319,340,353,426,464,550,563],"used":[217],"operation":[220],"planning":[222],"non-convex":[228],"NP-hard":[230],"worst":[233,326],"case.":[234,327],"would":[238],"real-time":[241,607],"network":[243],"management":[244],"improve":[246],"system's":[248],"reliability.":[249],"particular,":[251,559],"helps":[254],"realization":[257],"Smart":[259],"Grid":[260],"allowing":[262],"make":[264],"decisions":[266],"response":[270,488],"stochastic":[273,351,355,493],"nature":[274,497],"renewable":[276,534],"energy.":[277],"evaluated":[282],"IEEE":[284,572],"benchmark":[285],"systems.":[286],"4:":[288],"controller":[295,437,587],"using":[296,551],"efficient":[298,512],"computational":[299],"one":[302],"most":[305],"area":[310],"remains":[315],"open":[318],"due":[320],"its":[322],"NP-hardness":[323],"first":[332],"study":[333,546,569],"infinite-horizon":[335],"(ODC)":[339],"(for":[341,354],"deterministic":[342],"systems)":[343],"then":[345,428,565],"generalize":[346],"results":[348,553],"ODC":[352],"systems).":[356],"Our":[357],"approach":[358],"rests":[359],"formulating":[361],"these":[364],"rank-constrained":[368],"from":[370,438,610],"can":[375,398],"derived.":[377],"both":[381],"admit":[383],"relaxations":[386],"solutions":[388],"rank":[390],"at":[391],"most~3.":[392],"Since":[393],"rank-1":[395],"mapped":[400],"back":[401],"into":[402],"globally-optimal":[404],"controller,":[405],"rank-3":[407],"solution":[408],"may":[409],"deployed":[411],"retrieve":[413],"near-global":[415,583],"controller.":[416],"also":[418],"propose":[419],"computationally":[420],"develop":[429],"effective":[430],"heuristic":[431],"methods":[432],"recover":[434],"near-optimal":[436,447],"low-rank":[440],"solution.":[442],"several":[446],"structured":[448],"controllers":[449,510,516],"global":[451,472],"optimality":[452],"degrees":[453],"above":[454],"99\\%":[455],"will":[456],"demonstrated.":[458],"5:":[460],"frequency":[462,473,509,548,586],"system":[476,527,593],"within":[477],"tight":[479],"range":[480],"adjusting":[482,596],"output":[484],"generators":[486,612],"uncertain":[491],"demand.":[494],"intermittent":[496],"generation":[501],"smart":[503],"grid":[504],"makes":[505],"traditional":[507],"decentralized":[508],"less":[511],"demands":[514],"able":[519],"deal":[521],"uncertainty":[524],"introduced":[528],"non-dispatchable":[530],"supplies":[531],"(such":[532],"energy),":[535],"fluctuating":[536],"loads,":[537],"measurement":[539,608],"noise.":[540],"need,":[544],"4.":[557],"formulate":[561],"conduct":[566],"case":[568],"39-Bus":[573],"New":[574,590],"England":[575,591],"system.":[576],"test":[592],"optimally":[595],"mechanical":[598],"input":[600],"generator":[603],"based":[604],"received":[609],"through":[613],"user-defined":[615],"communication":[616],"topology.":[617]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2016-06-24T00:00:00"}