{"id":"https://openalex.org/W2084243069","doi":"https://doi.org/10.1007/s13675-015-0037-8","title":"Bilevel programming for price-based electricity auctions: a revenue-constrained case","display_name":"Bilevel programming for price-based electricity auctions: a revenue-constrained case","publication_year":2015,"publication_date":"2015-04-07","ids":{"openalex":"https://openalex.org/W2084243069","doi":"https://doi.org/10.1007/s13675-015-0037-8","mag":"2084243069"},"language":"en","primary_location":{"id":"doi:10.1007/s13675-015-0037-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0037-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1007/s13675-015-0037-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081507767","display_name":"Ricardo Fern\u00e1ndez\u2010Blanco","orcid":"https://orcid.org/0000-0001-6487-7619"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ricardo Fern\u00e1ndez-Blanco","raw_affiliation_strings":["Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica, autom\u00e1tica y Comunicaciones, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain","Universidad de Castilla La Mancha#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica, autom\u00e1tica y Comunicaciones, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain","institution_ids":[]},{"raw_affiliation_string":"Universidad de Castilla La Mancha#TAB#","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002721416","display_name":"Jos\u00e9 M. Arroyo","orcid":"https://orcid.org/0000-0002-9538-6748"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9M. Arroyo","raw_affiliation_strings":["Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica, autom\u00e1tica y Comunicaciones, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain","Universidad de Castilla La Mancha#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica, autom\u00e1tica y Comunicaciones, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain","institution_ids":[]},{"raw_affiliation_string":"Universidad de Castilla La Mancha#TAB#","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060870202","display_name":"Natalia Alguacil","orcid":"https://orcid.org/0000-0001-9223-0652"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Natalia Alguacil","raw_affiliation_strings":["Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica, autom\u00e1tica y Comunicaciones, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain","Universidad de Castilla La Mancha#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica, autom\u00e1tica y Comunicaciones, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain","institution_ids":[]},{"raw_affiliation_string":"Universidad de Castilla La Mancha#TAB#","institution_ids":["https://openalex.org/I79189158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002721416"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":0.8032,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76721757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"3","first_page":"163","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998000264167786,"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/T10424","display_name":"Electric Power System Optimization","score":0.9998000264167786,"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":0.9943000078201294,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.992900013923645,"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/market-clearing","display_name":"Market clearing","score":0.7169923186302185},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.6929963231086731},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6467556953430176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6002975106239319},{"id":"https://openalex.org/keywords/electricity-market","display_name":"Electricity market","score":0.5808944702148438},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.4638521671295166},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4632972180843353},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4631582796573639},{"id":"https://openalex.org/keywords/common-value-auction","display_name":"Common value auction","score":0.42528074979782104},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.4215629994869232},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.41269588470458984},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.3270484209060669},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2723901569843292},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.25345751643180847},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.21736446022987366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14134934544563293},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.08801060914993286}],"concepts":[{"id":"https://openalex.org/C14981831","wikidata":"https://www.wikidata.org/wiki/Q1713661","display_name":"Market clearing","level":2,"score":0.7169923186302185},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.6929963231086731},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6467556953430176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6002975106239319},{"id":"https://openalex.org/C146733006","wikidata":"https://www.wikidata.org/wiki/Q676081","display_name":"Electricity market","level":3,"score":0.5808944702148438},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.4638521671295166},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4632972180843353},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4631582796573639},{"id":"https://openalex.org/C163239763","wikidata":"https://www.wikidata.org/wiki/Q5153637","display_name":"Common value auction","level":2,"score":0.42528074979782104},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.4215629994869232},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.41269588470458984},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.3270484209060669},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2723901569843292},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.25345751643180847},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.21736446022987366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14134934544563293},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.08801060914993286},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s13675-015-0037-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0037-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:11fda7da436246b885176e9eb24555a5","is_oa":true,"landing_page_url":"https://doaj.org/article/11fda7da436246b885176e9eb24555a5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURO Journal on Computational Optimization, Vol 3, Iss 3, Pp 163-195 (2015)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s13675-015-0037-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0037-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W17229534","https://openalex.org/W349704142","https://openalex.org/W649951324","https://openalex.org/W1514445503","https://openalex.org/W1546461095","https://openalex.org/W1549769376","https://openalex.org/W1571403844","https://openalex.org/W1588628884","https://openalex.org/W1596644514","https://openalex.org/W1601972095","https://openalex.org/W1604627832","https://openalex.org/W1676470423","https://openalex.org/W1769673641","https://openalex.org/W1970933528","https://openalex.org/W1972260113","https://openalex.org/W1975904826","https://openalex.org/W1977665573","https://openalex.org/W1982300161","https://openalex.org/W1988763410","https://openalex.org/W2000143048","https://openalex.org/W2003407209","https://openalex.org/W2031037615","https://openalex.org/W2033225140","https://openalex.org/W2038016260","https://openalex.org/W2050581708","https://openalex.org/W2055192098","https://openalex.org/W2059636863","https://openalex.org/W2066642748","https://openalex.org/W2067366744","https://openalex.org/W2069531980","https://openalex.org/W2088448948","https://openalex.org/W2089509243","https://openalex.org/W2100541511","https://openalex.org/W2107928259","https://openalex.org/W2109907888","https://openalex.org/W2110050136","https://openalex.org/W2111240209","https://openalex.org/W2111826499","https://openalex.org/W2116898337","https://openalex.org/W2122072670","https://openalex.org/W2124659975","https://openalex.org/W2133429367","https://openalex.org/W2135395455","https://openalex.org/W2136786419","https://openalex.org/W2138549301","https://openalex.org/W2141975707","https://openalex.org/W2148112915","https://openalex.org/W2148652465","https://openalex.org/W2148850199","https://openalex.org/W2151945975","https://openalex.org/W2152824694","https://openalex.org/W2155867756","https://openalex.org/W2156992695","https://openalex.org/W2159530637","https://openalex.org/W2162885967","https://openalex.org/W2163121443","https://openalex.org/W2166063259","https://openalex.org/W2167462623","https://openalex.org/W2177041789","https://openalex.org/W2481910659","https://openalex.org/W2486662084","https://openalex.org/W2764520481","https://openalex.org/W4229785982","https://openalex.org/W4238748890","https://openalex.org/W4244505389"],"related_works":["https://openalex.org/W2332739331","https://openalex.org/W4387005974","https://openalex.org/W2048959605","https://openalex.org/W2949717417","https://openalex.org/W2553356811","https://openalex.org/W4310614639","https://openalex.org/W2964134030","https://openalex.org/W3089527954","https://openalex.org/W2102377323","https://openalex.org/W4297850978"],"abstract_inverted_index":{"This":[0,52,83],"paper":[1,53,84],"describes":[2],"the":[3,15,22,77,80,120,165,182,186],"application":[4,121],"of":[5,11,17,24,59,79,122,125,185],"bilevel":[6,87,129],"programming":[7,88,130],"to":[8,38,48,138,144],"a":[9,55,68,90,110,139,153],"class":[10],"real-life":[12],"problems":[13],"in":[14,76,147],"field":[16],"electric":[18],"power":[19],"systems.":[20],"Within":[21],"context":[23],"electricity":[25,150],"markets,":[26],"market-clearing":[27,50,71],"procedures,":[28],"i.e.,":[29],"auction":[30,141],"models,":[31],"are":[32,73,168],"used":[33,146],"by":[34],"an":[35,104],"independent":[36],"entity":[37],"schedule":[39],"generation":[40,161],"offers":[41],"and":[42,164,189],"consumption":[43],"bids":[44],"as":[45,47,62,67],"well":[46],"determine":[49],"prices.":[51],"addresses":[54],"mathematically":[56],"challenging":[57],"type":[58],"auction,":[60],"denoted":[61],"price-based":[63,95,133],"market":[64,96,134],"clearing,":[65],"wherein,":[66],"distinctive":[69],"feature,":[70],"prices":[72],"explicitly":[74],"incorporated":[75],"formulation":[78],"optimization":[81],"process.":[82],"shows":[85],"that":[86],"provides":[89],"suitable":[91],"modeling":[92,102],"framework":[93,131],"for":[94,132],"clearing.":[97],"Furthermore,":[98],"based":[99],"on":[100,119],"practical":[101],"aspects,":[103],"equivalent":[105],"single-level":[106],"primal-dual":[107],"transformation":[108,117,167],"into":[109,171],"mixed-integer":[111],"program":[112],"can":[113],"be":[114],"implemented.":[115],"Such":[116],"relies":[118],"duality":[123],"theory":[124],"linear":[126,172],"programming.":[127],"The":[128],"clearing":[135],"is":[136],"applied":[137],"revenue-constrained":[140],"model":[142],"similar":[143],"those":[145],"several":[148],"European":[149],"markets.":[151],"As":[152],"major":[154],"contribution,":[155],"bilinear":[156],"terms":[157],"associated":[158],"with":[159,174],"both":[160],"revenue":[162],"constraints":[163],"duality-based":[166],"equivalently":[169],"converted":[170],"forms":[173],"no":[175],"additional":[176],"binary":[177],"variables.":[178],"Simulation":[179],"results":[180],"show":[181],"effective":[183],"performance":[184],"proposed":[187],"approach":[188],"its":[190],"superiority":[191],"over":[192],"current":[193],"industry":[194],"practice.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
