{"id":"https://openalex.org/W4400205192","doi":"https://doi.org/10.1080/01605682.2024.2365807","title":"A novel strong duality-based reformulation for trilevel infrastructure models in energy systems development","display_name":"A novel strong duality-based reformulation for trilevel infrastructure models in energy systems development","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4400205192","doi":"https://doi.org/10.1080/01605682.2024.2365807"},"language":"en","primary_location":{"id":"doi:10.1080/01605682.2024.2365807","is_oa":true,"landing_page_url":"https://doi.org/10.1080/01605682.2024.2365807","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1080/01605682.2024.2365807","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030573382","display_name":"Olli Herrala","orcid":"https://orcid.org/0000-0003-4819-2534"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Olli Herrala","raw_affiliation_strings":["Aalto University","Aalto University, Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049092438","display_name":"Steven A. Gabriel","orcid":"https://orcid.org/0000-0002-3946-3139"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]},{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI","NO","US"],"is_corresponding":false,"raw_author_name":"Steven A. Gabriel","raw_affiliation_strings":["Aalto University","Norwegian University of Science and Technology","University of Maryland","Aalto University, Espoo, Finland","University of Maryland, College Park, Maryland, USA","Norwegian University of Science and Technology, Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Norwegian University of Science and Technology","institution_ids":["https://openalex.org/I204778367"]},{"raw_affiliation_string":"University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"University of Maryland, College Park, Maryland, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015534838","display_name":"Fabricio Ferreira de Oliveira","orcid":"https://orcid.org/0000-0002-8311-0859"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Fabricio Oliveira","raw_affiliation_strings":["Aalto University","Aalto University, Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001676489","display_name":"Tommi Ekholm","orcid":"https://orcid.org/0000-0002-9124-6289"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]},{"id":"https://openalex.org/I1285790362","display_name":"Finnish Meteorological Institute","ror":"https://ror.org/05hppb561","country_code":"FI","type":"government","lineage":["https://openalex.org/I1284112523","https://openalex.org/I1285790362"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Tommi Ekholm","raw_affiliation_strings":["Aalto University","Finnish Meteorological Institute","Finnish Meteorological Institute, Helsinki, Finland","Aalto University, Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Finnish Meteorological Institute","institution_ids":["https://openalex.org/I1285790362"]},{"raw_affiliation_string":"Finnish Meteorological Institute, Helsinki, Finland","institution_ids":["https://openalex.org/I1285790362"]},{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015534838"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07093897,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"76","issue":"3","first_page":"438","last_page":"453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9958000183105469,"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":0.9958000183105469,"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":0.993399977684021,"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":0.9879000186920166,"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/duality","display_name":"Duality (order theory)","score":0.5377872586250305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5153729319572449},{"id":"https://openalex.org/keywords/project-management","display_name":"Project management","score":0.47384291887283325},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.4428976774215698},{"id":"https://openalex.org/keywords/purchasing","display_name":"Purchasing","score":0.42833030223846436},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4266640543937683},{"id":"https://openalex.org/keywords/information-system","display_name":"Information system","score":0.41812580823898315},{"id":"https://openalex.org/keywords/systems-engineering","display_name":"Systems engineering","score":0.34085965156555176},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.33121249079704285},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.32186079025268555},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2443644404411316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19663089513778687},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.14468005299568176}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5377872586250305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5153729319572449},{"id":"https://openalex.org/C15952604","wikidata":"https://www.wikidata.org/wiki/Q179012","display_name":"Project management","level":2,"score":0.47384291887283325},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.4428976774215698},{"id":"https://openalex.org/C2778813691","wikidata":"https://www.wikidata.org/wiki/Q1369832","display_name":"Purchasing","level":2,"score":0.42833030223846436},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4266640543937683},{"id":"https://openalex.org/C180198813","wikidata":"https://www.wikidata.org/wiki/Q121182","display_name":"Information system","level":2,"score":0.41812580823898315},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.34085965156555176},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.33121249079704285},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.32186079025268555},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2443644404411316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19663089513778687},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.14468005299568176},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/01605682.2024.2365807","is_oa":true,"landing_page_url":"https://doi.org/10.1080/01605682.2024.2365807","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tjorxx:v:76:y:2025:i:3:p:438-453","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/01605682.2024.2365807","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/129701","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/8c9169bf-d2a4-49b2-b6e7-686cfb758b46","pdf_url":null,"source":{"id":"https://openalex.org/S4306401663","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/130014","is_oa":false,"landing_page_url":"https://aaltodoc.aalto.fi/handle/123456789/130014","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"V\u00e4it\u00f6skirja (artikkeli)"},{"id":"pmh:oai:ntnuopen.ntnu.no:11250/3149279","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/3149279","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"doi:10.1080/01605682.2024.2365807","is_oa":true,"landing_page_url":"https://doi.org/10.1080/01605682.2024.2365807","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.4699999988079071}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W35636098","https://openalex.org/W54816854","https://openalex.org/W290360019","https://openalex.org/W1565670382","https://openalex.org/W1918816242","https://openalex.org/W1970933528","https://openalex.org/W1977794212","https://openalex.org/W1983644172","https://openalex.org/W2000151369","https://openalex.org/W2015317001","https://openalex.org/W2033910905","https://openalex.org/W2036619252","https://openalex.org/W2038597872","https://openalex.org/W2046542460","https://openalex.org/W2120575449","https://openalex.org/W2138679643","https://openalex.org/W2145798912","https://openalex.org/W2163089608","https://openalex.org/W2487233952","https://openalex.org/W2506700101","https://openalex.org/W2614367549","https://openalex.org/W2614967530","https://openalex.org/W2754261171","https://openalex.org/W2765224644","https://openalex.org/W2804095963","https://openalex.org/W2887435604","https://openalex.org/W2923232740","https://openalex.org/W2950500548","https://openalex.org/W2964570243","https://openalex.org/W2971467839","https://openalex.org/W3011455298","https://openalex.org/W3013829036","https://openalex.org/W3037167606","https://openalex.org/W3093436698","https://openalex.org/W3105558219","https://openalex.org/W3124636162","https://openalex.org/W3157498319","https://openalex.org/W4200305912","https://openalex.org/W4206053457","https://openalex.org/W4233360132","https://openalex.org/W4293761431","https://openalex.org/W4386520503","https://openalex.org/W4393282783","https://openalex.org/W4396738453","https://openalex.org/W6602258591","https://openalex.org/W6633951717","https://openalex.org/W7058398353"],"related_works":["https://openalex.org/W2351217280","https://openalex.org/W2086836292","https://openalex.org/W2354083748","https://openalex.org/W2357949222","https://openalex.org/W2338005294","https://openalex.org/W2104192539","https://openalex.org/W2954733677","https://openalex.org/W2033865166","https://openalex.org/W2393625522","https://openalex.org/W1575721881"],"abstract_inverted_index":{"We":[0],"explore":[1],"the":[2,28,48,90,100,103,120,125,132],"class":[3],"of":[4,30,47,92,99,127],"trilevel":[5,39,82],"equilibrium":[6],"problems":[7,40],"with":[8],"a":[9,16,45,55,85,115,128],"focus":[10],"on":[11,24,58,131],"energy-environmental":[12],"applications":[13],"and":[14,74,123],"present":[15],"novel":[17,62],"single-level":[18,36],"reformulation":[19,37,43,56,63],"for":[20,38,114],"such":[21],"problems,":[22],"based":[23,57],"strong":[25,59],"duality.":[26,60],"To":[27],"best":[29],"our":[31],"knowledge,":[32],"only":[33],"one":[34],"alternative":[35],"exists.":[41],"This":[42],"uses":[44],"representation":[46],"bottom-level":[49],"solution":[50],"set,":[51],"whereas":[52],"we":[53,79,106],"propose":[54],"Our":[61],"is":[64],"compared":[65],"to":[66,84,109],"this":[67,81],"existing":[68],"formulation,":[69],"discussing":[70],"both":[71],"model":[72],"sizes":[73],"computational":[75],"performance.":[76],"In":[77],"particular,":[78],"apply":[80],"framework":[83],"power":[86],"market":[87],"model,":[88],"exploring":[89],"possibilities":[91],"an":[93],"international":[94],"policymaker":[95],"in":[96],"reducing":[97],"emissions":[98],"system.":[101],"Using":[102],"proposed":[104],"approach,":[105],"are":[107],"able":[108],"obtain":[110],"globally":[111],"optimal":[112],"solutions":[113],"five-node":[116],"case":[117],"study":[118],"representing":[119],"Nordic":[121],"countries":[122],"assess":[124],"impact":[126],"carbon":[129],"tax":[130],"electricity":[133],"production":[134],"portfolio.":[135]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}