{"id":"https://openalex.org/W4391341698","doi":"https://doi.org/10.1109/isgteurope56780.2023.10407974","title":"Clustering methods to select representative days for heat pumps optimal operation accounting for electricity grid constraints","display_name":"Clustering methods to select representative days for heat pumps optimal operation accounting for electricity grid constraints","publication_year":2023,"publication_date":"2023-10-23","ids":{"openalex":"https://openalex.org/W4391341698","doi":"https://doi.org/10.1109/isgteurope56780.2023.10407974"},"language":"en","primary_location":{"id":"doi:10.1109/isgteurope56780.2023.10407974","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isgteurope56780.2023.10407974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE)","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/A5093803505","display_name":"C\u00e9lia Masternak","orcid":"https://orcid.org/0000-0003-3007-2729"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3019908861","display_name":"Laboratoire de G\u00e9nie \u00c9lectrique et \u00c9lectronique de Paris","ror":"https://ror.org/02xnnng09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"C\u00e9lia Masternak","raw_affiliation_strings":["Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France"],"affiliations":[{"raw_affiliation_string":"Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720","https://openalex.org/I39804081","https://openalex.org/I277688954","https://openalex.org/I3019908861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093818502","display_name":"C\u00e9cile Begassat-Piquet","orcid":null},"institutions":[{"id":"https://openalex.org/I3019908861","display_name":"Laboratoire de G\u00e9nie \u00c9lectrique et \u00c9lectronique de Paris","ror":"https://ror.org/02xnnng09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C\u00e9cile Begassat-Piquet","raw_affiliation_strings":["Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France"],"affiliations":[{"raw_affiliation_string":"Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720","https://openalex.org/I39804081","https://openalex.org/I277688954","https://openalex.org/I3019908861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041300430","display_name":"Cl\u00e9mence L\u00e9v\u00eaque","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I3019908861","display_name":"Laboratoire de G\u00e9nie \u00c9lectrique et \u00c9lectronique de Paris","ror":"https://ror.org/02xnnng09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cl\u00e9mence L\u00e9v\u00eaque","raw_affiliation_strings":["Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France"],"affiliations":[{"raw_affiliation_string":"Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720","https://openalex.org/I39804081","https://openalex.org/I277688954","https://openalex.org/I3019908861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056776396","display_name":"Simon Meunier","orcid":"https://orcid.org/0000-0001-5306-0355"},"institutions":[{"id":"https://openalex.org/I3019908861","display_name":"Laboratoire de G\u00e9nie \u00c9lectrique et \u00c9lectronique de Paris","ror":"https://ror.org/02xnnng09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Simon Meunier","raw_affiliation_strings":["Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France"],"affiliations":[{"raw_affiliation_string":"Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720","https://openalex.org/I39804081","https://openalex.org/I277688954","https://openalex.org/I3019908861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064947717","display_name":"Vincent Reinbold","orcid":"https://orcid.org/0000-0002-9857-0540"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I3019908861","display_name":"Laboratoire de G\u00e9nie \u00c9lectrique et \u00c9lectronique de Paris","ror":"https://ror.org/02xnnng09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Reinbold","raw_affiliation_strings":["Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France"],"affiliations":[{"raw_affiliation_string":"Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720","https://openalex.org/I39804081","https://openalex.org/I277688954","https://openalex.org/I3019908861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079483844","display_name":"Dirk Saelens","orcid":"https://orcid.org/0000-0003-3450-5448"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Dirk Saelens","raw_affiliation_strings":["Building Physics Sustainable Design Leuven, Belgium, EnergyVille,KU Leuven, Dept. of Civil Eng,Genk,Belgium","KU Leuven - Catholic University of Leuven = Katholieke Universiteit Leuven (Oude Markt 13 - bus 5005, 3000 Leuven - Belgium)"],"affiliations":[{"raw_affiliation_string":"Building Physics Sustainable Design Leuven, Belgium, EnergyVille,KU Leuven, Dept. of Civil Eng,Genk,Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"KU Leuven - Catholic University of Leuven = Katholieke Universiteit Leuven (Oude Markt 13 - bus 5005, 3000 Leuven - Belgium)","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108167776","display_name":"Claude Marchand","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I3019908861","display_name":"Laboratoire de G\u00e9nie \u00c9lectrique et \u00c9lectronique de Paris","ror":"https://ror.org/02xnnng09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claude Marchand","raw_affiliation_strings":["Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France"],"affiliations":[{"raw_affiliation_string":"Univ. Paris-Saclay, CentraleSupélec, Sorbonne Univ, CNRS, GeePs,Gif-sur-Yvette,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720","https://openalex.org/I39804081","https://openalex.org/I277688954","https://openalex.org/I3019908861"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5093803505"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019908861","https://openalex.org/I39804081","https://openalex.org/I4210107720"],"apc_list":null,"apc_paid":null,"fwci":0.1339,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48510537,"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/T10603","display_name":"Smart Grid Energy Management","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/T10603","display_name":"Smart Grid Energy Management","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/T11052","display_name":"Energy Load and Power Forecasting","score":0.9995999932289124,"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/T10121","display_name":"Building Energy and Comfort Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/cluster-analysis","display_name":"Cluster analysis","score":0.685453474521637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.66929030418396},{"id":"https://openalex.org/keywords/medoid","display_name":"Medoid","score":0.5894705653190613},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5730209946632385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.545142412185669},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.4980294704437256},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3356599807739258},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18335160613059998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13702744245529175}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.685453474521637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.66929030418396},{"id":"https://openalex.org/C63085389","wikidata":"https://www.wikidata.org/wiki/Q4287912","display_name":"Medoid","level":3,"score":0.5894705653190613},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5730209946632385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.545142412185669},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.4980294704437256},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3356599807739258},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18335160613059998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13702744245529175},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isgteurope56780.2023.10407974","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isgteurope56780.2023.10407974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04549246v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04549246","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE), Oct 2023, Grenoble, France. pp.1-5, ⟨10.1109/ISGTEUROPE56780.2023.10407974⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.75,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1970225018","https://openalex.org/W2229141378","https://openalex.org/W2523751887","https://openalex.org/W2726498110","https://openalex.org/W2740319643","https://openalex.org/W2779981578","https://openalex.org/W2808016673","https://openalex.org/W2912829604","https://openalex.org/W2944610084","https://openalex.org/W3165794509","https://openalex.org/W3176210798","https://openalex.org/W3216671499","https://openalex.org/W4234534407","https://openalex.org/W4288915034","https://openalex.org/W4310175885","https://openalex.org/W4310737912","https://openalex.org/W6727261476","https://openalex.org/W6912338617"],"related_works":["https://openalex.org/W3133849001","https://openalex.org/W2022056881","https://openalex.org/W2081066201","https://openalex.org/W3048556888","https://openalex.org/W1520302806","https://openalex.org/W4324086039","https://openalex.org/W3121974022","https://openalex.org/W2587710587","https://openalex.org/W2100425112","https://openalex.org/W3037673319"],"abstract_inverted_index":{"Heat":[0],"pumps":[1,54,147],"are":[2,29,66],"an":[3],"important":[4,94],"asset":[5],"to":[6,48,59,74,93,99,144],"decarbonize":[7],"the":[8,23,76,85,88,105,110,129,136,145],"heating":[9],"sector.":[10],"To":[11],"maximize":[12],"their":[13,20],"economic":[14],"and":[15,18,69,125,149],"environmental":[16],"benefits":[17],"ease":[19],"integration":[21],"into":[22],"low-voltage":[24],"grid,":[25],"complex":[26],"optimization":[27,33],"problems":[28,34],"formulated.":[30],"Solving":[31],"these":[32,155],"can":[35],"require":[36],"very":[37],"high":[38],"computing":[39,61,95],"times.":[40,62,96],"In":[41],"this":[42],"work,":[43],"we":[44,82],"study":[45],"clustering":[46,64],"methods":[47],"select":[49],"representative":[50,111],"periods":[51],"for":[52,113],"heat":[53,146],"optimal":[55],"operation":[56,150],"in":[57],"order":[58],"reduce":[60],"Two":[63],"algorithms":[65,80],"considered:":[67],"k-means":[68,124,139],"k-medoids.":[70],"A":[71],"challenge":[72],"is":[73],"assess":[75],"quality":[77],"of":[78,104,131],"those":[79],"since":[81],"cannot":[83],"solve":[84,100],"problem":[86],"over":[87],"whole":[89],"time":[90],"horizon,":[91],"due":[92],"We":[97,108],"propose":[98],"a":[101,114,117],"relaxed":[102],"version":[103],"initial":[106],"problem.":[107],"compute":[109],"days":[112],"case":[115],"study:":[116],"rural":[118],"Belgian":[119],"district.":[120],"Results":[121],"indicate":[122],"that":[123],"k-medoids":[126],"approximate":[127],"well":[128],"values":[130],"grid":[132],"stability":[133],"indicators.":[134],"For":[135],"considered":[137],"case,":[138],"underestimates":[140],"life-cycle":[141],"costs":[142,156],"associated":[143],"purchase":[148],"by":[151,157],"0.9%.":[152],"K-medoids":[153],"overestimates":[154],"3.3%.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}