{"id":"https://openalex.org/W2569783183","doi":"https://doi.org/10.1109/cdc.2016.7798349","title":"A strong semidefinite programming relaxation of the unit commitment problem","display_name":"A strong semidefinite programming relaxation of the unit commitment problem","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2569783183","doi":"https://doi.org/10.1109/cdc.2016.7798349","mag":"2569783183"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5035440978","display_name":"Morteza Ashraphijuo","orcid":"https://orcid.org/0000-0001-9324-620X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morteza Ashraphijuo","raw_affiliation_strings":["Department of Industrial Engineering, Operations Research University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Operations Research University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061966752","display_name":"Salar Fattahi","orcid":"https://orcid.org/0000-0001-7986-3148"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Salar Fattahi","raw_affiliation_strings":["Department of Industrial Engineering, Operations Research University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Operations Research University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042580848","display_name":"Javad Lavaei","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Javad Lavaei","raw_affiliation_strings":["Department of Industrial Engineering, Operations Research University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Operations Research University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008007328","display_name":"Alper Atamt\u00fcrk","orcid":"https://orcid.org/0000-0003-1220-808X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alper Atamturk","raw_affiliation_strings":["Department of Industrial Engineering, Operations Research University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Operations Research University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3021,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83300859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"694","last_page":"701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9998999834060669,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9998999834060669,"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":0.9997000098228455,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9955000281333923,"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.6955509185791016},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6843429207801819},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6092481017112732},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.5615052580833435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5332030653953552},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.48119693994522095},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.472891241312027},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.4591801166534424},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4581121802330017},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43484798073768616},{"id":"https://openalex.org/keywords/power-system-simulation","display_name":"Power system simulation","score":0.41760382056236267},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.40090855956077576},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.37459272146224976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32254496216773987},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.271312952041626},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.17876020073890686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.100975900888443}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6955509185791016},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6843429207801819},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6092481017112732},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.5615052580833435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5332030653953552},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.48119693994522095},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.472891241312027},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.4591801166534424},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4581121802330017},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43484798073768616},{"id":"https://openalex.org/C116219307","wikidata":"https://www.wikidata.org/wiki/Q7236625","display_name":"Power system simulation","level":4,"score":0.41760382056236267},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.40090855956077576},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.37459272146224976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32254496216773987},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.271312952041626},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.17876020073890686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.100975900888443},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2016.7798349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1506895795","https://openalex.org/W1571070457","https://openalex.org/W1948613015","https://openalex.org/W1988240180","https://openalex.org/W1991809981","https://openalex.org/W1992101048","https://openalex.org/W2006704773","https://openalex.org/W2016349458","https://openalex.org/W2022026988","https://openalex.org/W2045148236","https://openalex.org/W2058140231","https://openalex.org/W2070450924","https://openalex.org/W2080362883","https://openalex.org/W2081929325","https://openalex.org/W2085427851","https://openalex.org/W2089369101","https://openalex.org/W2109425988","https://openalex.org/W2111560150","https://openalex.org/W2118875093","https://openalex.org/W2125772126","https://openalex.org/W2133006810","https://openalex.org/W2141380252","https://openalex.org/W2150010100","https://openalex.org/W4249206678","https://openalex.org/W6640399676"],"related_works":["https://openalex.org/W2362705850","https://openalex.org/W4232508221","https://openalex.org/W2078979423","https://openalex.org/W2366269287","https://openalex.org/W1239730545","https://openalex.org/W4231773446","https://openalex.org/W2152242686","https://openalex.org/W2054908450","https://openalex.org/W2233303476","https://openalex.org/W1553621070"],"abstract_inverted_index":{"The":[0,25,103,189],"unit":[1],"commitment":[2],"(UC)":[3],"problem":[4,33,62,93],"aims":[5],"to":[6,15,74,141,154],"find":[7],"an":[8,22,149],"optimal":[9,125],"schedule":[10],"of":[11,27,39,44,86,90,99,105,115,121,145,159,184],"generating":[12],"units":[13],"subject":[14],"the":[16,31,60,84,87,91,96,106,116,122,137,164,167],"demand":[17],"and":[18,70],"operating":[19],"constraints":[20,69,89,98],"for":[21,30,59],"electricity":[23],"grid.":[24],"majority":[26],"existing":[28],"algorithms":[29],"UC":[32,61,92,117],"rely":[34],"on":[35,112,195],"solving":[36,131],"a":[37,54,132,142,156,172,182],"series":[38],"convex":[40,108,134],"relaxations":[41,191],"by":[42,63,83,130],"means":[43],"branch-and-bound":[45],"or":[46],"cutting-planning":[47],"methods.":[48],"In":[49],"this":[50],"paper,":[51],"we":[52,176],"develop":[53],"strengthened":[55,168],"semidefinite":[56],"program":[57],"(SDP)":[58],"first":[64],"deriving":[65],"certain":[66],"valid":[67,79,146,161,179],"quadratic":[68,147],"then":[71],"relaxing":[72],"them":[73],"linear":[75,88],"matrix":[76],"inequalities.":[77,162],"These":[78],"inequalities":[80],"are":[81,128,192],"obtained":[82,129],"multiplication":[85],"such":[94,160],"as":[95],"flow":[97],"two":[100],"different":[101],"lines.":[102],"performance":[104],"proposed":[107,138,190],"relaxation":[109],"is":[110,152],"evaluated":[111],"several":[113],"instances":[114],"problem.":[118,135],"For":[119,163],"most":[120],"instances,":[123],"globally":[124],"integer":[126,174],"solutions":[127],"single":[133],"Since":[136],"technique":[139],"leads":[140],"large":[143],"number":[144,158],"inequalities,":[148,180],"iterative":[150],"procedure":[151],"devised":[153],"impose":[155],"small":[157],"cases":[165],"where":[166],"SDP":[169],"does":[170],"give":[171],"global":[173],"solution,":[175],"incorporate":[177],"other":[178],"including":[181],"set":[183],"Boolean":[185],"quadric":[186],"polytope":[187],"constraints.":[188],"extensively":[193],"tested":[194],"various":[196],"IEEE":[197],"power":[198],"systems":[199],"in":[200],"simulations.":[201]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}