{"id":"https://openalex.org/W3084810768","doi":"https://doi.org/10.1007/s10288-020-00457-8","title":"Using the power of ideal solutions: simple proofs of some old and new results in location theory","display_name":"Using the power of ideal solutions: simple proofs of some old and new results in location theory","publication_year":2020,"publication_date":"2020-09-14","ids":{"openalex":"https://openalex.org/W3084810768","doi":"https://doi.org/10.1007/s10288-020-00457-8","mag":"3084810768"},"language":"en","primary_location":{"id":"doi:10.1007/s10288-020-00457-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-020-00457-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"is_oa":false,"is_in_doaj":false,"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":"4OR","raw_type":"journal-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/A5018804295","display_name":"Frank Plastria","orcid":null},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Frank Plastria","raw_affiliation_strings":["Prof.Em. BUTO, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Prof.Em. BUTO, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018804295"],"corresponding_institution_ids":["https://openalex.org/I13469542"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8866,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72007409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"19","issue":"3","first_page":"449","last_page":"467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.8691800236701965},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.8452494144439697},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.820685863494873},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6842526197433472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5925521850585938},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4491380453109741},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4444948434829712},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4382178783416748},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3926483690738678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35096365213394165},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08253094553947449},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07553914189338684},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05351260304450989}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8691800236701965},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.8452494144439697},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.820685863494873},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6842526197433472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5925521850585938},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4491380453109741},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4444948434829712},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4382178783416748},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3926483690738678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35096365213394165},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08253094553947449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07553914189338684},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05351260304450989},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10288-020-00457-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-020-00457-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"is_oa":false,"is_in_doaj":false,"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":"4OR","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:aqjoor:v:19:y:2021:i:3:d:10.1007_s10288-020-00457-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10288-020-00457-8","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:vubissmart:VUBISSMART:2000:159109","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/using-the-power-of-ideal-solutions-simple-proofs-of-some-old-and-new-results-in-location-theory(bd75e1d6-fb73-4ed7-8477-ae48ce111ae6).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W134642456","https://openalex.org/W775848880","https://openalex.org/W1602684539","https://openalex.org/W1969118897","https://openalex.org/W2000133896","https://openalex.org/W2002347485","https://openalex.org/W2002575600","https://openalex.org/W2008499862","https://openalex.org/W2013461866","https://openalex.org/W2019218765","https://openalex.org/W2044268810","https://openalex.org/W2060223209","https://openalex.org/W2063617362","https://openalex.org/W2067018671","https://openalex.org/W2094339118","https://openalex.org/W2109181422","https://openalex.org/W2131143389","https://openalex.org/W2346151200","https://openalex.org/W2491360013","https://openalex.org/W2615258659","https://openalex.org/W4302557773","https://openalex.org/W6960179979"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W2184046398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2025-10-10T00:00:00"}
