{"id":"https://openalex.org/W2028960265","doi":"https://doi.org/10.1109/smartgridcomm.2013.6687949","title":"Convex hull pricing for demand response in electricity markets","display_name":"Convex hull pricing for demand response in electricity markets","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2028960265","doi":"https://doi.org/10.1109/smartgridcomm.2013.6687949","mag":"2028960265"},"language":"en","primary_location":{"id":"doi:10.1109/smartgridcomm.2013.6687949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smartgridcomm.2013.6687949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Smart Grid Communications (SmartGridComm)","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/A5061938938","display_name":"Naoki Ito","orcid":"https://orcid.org/0000-0002-1998-0606"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Naoki Ito","raw_affiliation_strings":["School of Science for Open and Environment Systems, Keio University","Sch. of Sci. for Open & Environ. Syst., Keio Univ., Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"School of Science for Open and Environment Systems, Keio University","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Sch. of Sci. for Open & Environ. Syst., Keio Univ., Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101795095","display_name":"Akiko Takeda","orcid":"https://orcid.org/0000-0002-8846-4496"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akiko Takeda","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of the University of Tokyo","Dept. of Math. Inf., Univ. of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of the University of Tokyo","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Dept. of Math. Inf., Univ. of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024386556","display_name":"Toru Namerikawa","orcid":"https://orcid.org/0000-0001-9907-4234"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toru Namerikawa","raw_affiliation_strings":["Department of System Design Engineering, Keio University","Department of Syst. Design Eng., Keio Univ., Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of System Design Engineering, Keio University","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Department of Syst. Design Eng., Keio Univ., Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061938938"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":null,"apc_paid":null,"fwci":1.4187,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83426669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"151","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":1.0,"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":1.0,"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":0.9983000159263611,"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/T10768","display_name":"Electric Vehicles and Infrastructure","score":0.9976000189781189,"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/subgradient-method","display_name":"Subgradient method","score":0.6869494915008545},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5952074527740479},{"id":"https://openalex.org/keywords/profit-maximization","display_name":"Profit maximization","score":0.5431479811668396},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5412068367004395},{"id":"https://openalex.org/keywords/dynamic-pricing","display_name":"Dynamic pricing","score":0.4780626595020294},{"id":"https://openalex.org/keywords/demand-response","display_name":"Demand response","score":0.46639177203178406},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.46337026357650757},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4459293782711029},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4341714680194855},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42004889249801636},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.35153278708457947},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3310088515281677},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3267309069633484},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.31938233971595764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2396036684513092},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10113060474395752}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.6869494915008545},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5952074527740479},{"id":"https://openalex.org/C2777780509","wikidata":"https://www.wikidata.org/wiki/Q1377422","display_name":"Profit maximization","level":3,"score":0.5431479811668396},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5412068367004395},{"id":"https://openalex.org/C2779391423","wikidata":"https://www.wikidata.org/wiki/Q17009728","display_name":"Dynamic pricing","level":2,"score":0.4780626595020294},{"id":"https://openalex.org/C2779438525","wikidata":"https://www.wikidata.org/wiki/Q5255048","display_name":"Demand response","level":3,"score":0.46639177203178406},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.46337026357650757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4459293782711029},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4341714680194855},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42004889249801636},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.35153278708457947},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3310088515281677},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3267309069633484},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.31938233971595764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2396036684513092},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10113060474395752},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/smartgridcomm.2013.6687949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smartgridcomm.2013.6687949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Smart Grid Communications (SmartGridComm)","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":13,"referenced_works":["https://openalex.org/W69098352","https://openalex.org/W1483086157","https://openalex.org/W1583497301","https://openalex.org/W1972260113","https://openalex.org/W1997898472","https://openalex.org/W2069131797","https://openalex.org/W2069304170","https://openalex.org/W2105848321","https://openalex.org/W2136786419","https://openalex.org/W2172056587","https://openalex.org/W3143519358","https://openalex.org/W6602788763","https://openalex.org/W6628872906"],"related_works":["https://openalex.org/W2783144827","https://openalex.org/W2338341705","https://openalex.org/W3032916910","https://openalex.org/W2899851694","https://openalex.org/W2946986200","https://openalex.org/W2057315382","https://openalex.org/W3014066038","https://openalex.org/W2741786689","https://openalex.org/W1970407448","https://openalex.org/W2523903522"],"abstract_inverted_index":{"Dynamic":[0],"pricing":[1,14,27,104,133],"(a.k.a.":[2],"real-time":[3],"pricing)":[4],"is":[5,111,158,173],"a":[6,10,92,130,147,165,218],"method":[7],"of":[8,33,36,56,68,72,98,124,164,178,221],"invoking":[9],"response":[11,149],"in":[12,121,217],"demand":[13,47,125,148],"electricity":[15],"at":[16],"hourly":[17],"(or":[18],"more":[19],"often)":[20],"intervals.":[21],"Several":[22],"studies":[23,79],"have":[24,80],"proposed":[25],"dynamic":[26,132],"models":[28],"that":[29,43,52,110,155,205],"maximize":[30],"the":[31,34,41,44,53,69,75,99,107,122,144,156,161,176,179,189,199,206],"sum":[32,177],"welfares":[35],"consumers":[37],"and":[38,46,152,182],"suppliers":[39,57],"under":[40],"condition":[42],"supply":[45],"are":[48,58,64],"equal.":[49],"They":[50],"assume":[51],"cost":[54],"functions":[55],"convex.":[59],"In":[60,185],"practice,":[61],"however,":[62],"they":[63],"not":[65,118],"convex":[66,102],"because":[67],"startup":[70,82],"costs":[71,83],"generators.":[73],"On":[74],"other":[76],"hand,":[77],"many":[78],"taken":[81],"into":[84],"consideration":[85],"for":[86,143],"unit":[87],"commitment":[88],"problems":[89],"(UCPs)":[90],"with":[91],"fixed":[93],"demand.":[94],"The":[95],"Lagrange":[96,162],"multiplier":[97,163],"UCP,":[100],"called":[101],"hull":[103],"(CHP),":[105],"minimizes":[106],"uplift":[108,215],"payment":[109],"disadvantageous":[112],"to":[113,146],"suppliers.":[114],"However,":[115],"CHP":[116,140,157],"has":[117],"been":[119],"used":[120],"context":[123],"response.":[126],"This":[127],"paper":[128],"presents":[129],"new":[131],"model":[134],"based":[135,197],"on":[136,198],"CHP.":[137],"We":[138],"apply":[139],"approach":[141],"invented":[142],"UCP":[145],"market":[150],"model,":[151],"theoretically":[153],"show":[154,204],"given":[159],"by":[160,192,209],"social":[166],"welfare":[167],"maximization":[168],"problem":[169,191],"whose":[170],"objective":[171],"function":[172],"represented":[174],"as":[175],"customer's":[180],"utility":[181],"supplier's":[183],"profit.":[184],"addition,":[186],"we":[187],"solve":[188],"dual":[190],"using":[193],"an":[194],"iterative":[195],"algorithm":[196,211],"subgradient":[200],"method.":[201],"Numerical":[202],"simulations":[203],"prices":[207],"determined":[208],"our":[210],"give":[212],"sufficiently":[213],"small":[214],"payments":[216],"realistic":[219],"number":[220],"iterations.":[222]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}