{"id":"https://openalex.org/W2773717755","doi":"https://doi.org/10.1007/s10878-017-0240-z","title":"Critical objective function values in linear sum assignment problems","display_name":"Critical objective function values in linear sum assignment problems","publication_year":2017,"publication_date":"2017-12-16","ids":{"openalex":"https://openalex.org/W2773717755","doi":"https://doi.org/10.1007/s10878-017-0240-z","mag":"2773717755"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-017-0240-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-017-0240-z","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","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/A5069458098","display_name":"Ivan Belik","orcid":"https://orcid.org/0000-0003-4346-0704"},"institutions":[{"id":"https://openalex.org/I931913249","display_name":"Norwegian School of Economics","ror":"https://ror.org/04v53s997","country_code":"NO","type":"education","lineage":["https://openalex.org/I931913249"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Ivan Belik","raw_affiliation_strings":["Norwegian School of Economics, Helleveien 30, 5045, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Norwegian School of Economics, Helleveien 30, 5045, Bergen, Norway","institution_ids":["https://openalex.org/I931913249"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073826576","display_name":"Kurt J\u00f6rnsten","orcid":"https://orcid.org/0000-0001-9370-5285"},"institutions":[{"id":"https://openalex.org/I931913249","display_name":"Norwegian School of Economics","ror":"https://ror.org/04v53s997","country_code":"NO","type":"education","lineage":["https://openalex.org/I931913249"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Kurt Jornsten","raw_affiliation_strings":["Norwegian School of Economics, Helleveien 30, 5045, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Norwegian School of Economics, Helleveien 30, 5045, Bergen, Norway","institution_ids":["https://openalex.org/I931913249"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069458098"],"corresponding_institution_ids":["https://openalex.org/I931913249"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24714386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"35","issue":"3","first_page":"842","last_page":"852"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12176","display_name":"Optimization and Packing Problems","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.9577046632766724},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.8083083629608154},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.76146399974823},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7198704481124878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7001749277114868},{"id":"https://openalex.org/keywords/linear-bottleneck-assignment-problem","display_name":"Linear bottleneck assignment problem","score":0.6208773255348206},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.5976307988166809},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5893076658248901},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5884351134300232},{"id":"https://openalex.org/keywords/weapon-target-assignment-problem","display_name":"Weapon target assignment problem","score":0.5804272890090942},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5618809461593628},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5421735644340515},{"id":"https://openalex.org/keywords/assignment-problem","display_name":"Assignment problem","score":0.5267017483711243},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5134537816047668},{"id":"https://openalex.org/keywords/generalized-assignment-problem","display_name":"Generalized assignment problem","score":0.3810186982154846},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3756892681121826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2221672236919403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20600876212120056}],"concepts":[{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.9577046632766724},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.8083083629608154},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.76146399974823},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7198704481124878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7001749277114868},{"id":"https://openalex.org/C165810428","wikidata":"https://www.wikidata.org/wiki/Q6553416","display_name":"Linear bottleneck assignment problem","level":5,"score":0.6208773255348206},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.5976307988166809},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5893076658248901},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5884351134300232},{"id":"https://openalex.org/C30202268","wikidata":"https://www.wikidata.org/wiki/Q7978065","display_name":"Weapon target assignment problem","level":4,"score":0.5804272890090942},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5618809461593628},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5421735644340515},{"id":"https://openalex.org/C85044808","wikidata":"https://www.wikidata.org/wiki/Q620614","display_name":"Assignment problem","level":2,"score":0.5267017483711243},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5134537816047668},{"id":"https://openalex.org/C194146004","wikidata":"https://www.wikidata.org/wiki/Q5532462","display_name":"Generalized assignment problem","level":3,"score":0.3810186982154846},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3756892681121826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2221672236919403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20600876212120056},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-017-0240-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-017-0240-z","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:35:y:2018:i:3:d:10.1007_s10878-017-0240-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-017-0240-z","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W59018666","https://openalex.org/W831571386","https://openalex.org/W1510850782","https://openalex.org/W1517759690","https://openalex.org/W1525459536","https://openalex.org/W1980675521","https://openalex.org/W2009070933","https://openalex.org/W2041670460","https://openalex.org/W2048590231","https://openalex.org/W2055453466","https://openalex.org/W2056178482","https://openalex.org/W2061670230","https://openalex.org/W2080088442","https://openalex.org/W2095169634","https://openalex.org/W2097431444","https://openalex.org/W2109574129","https://openalex.org/W2114619716","https://openalex.org/W2117157235","https://openalex.org/W2127470768","https://openalex.org/W2135132740","https://openalex.org/W2137695402","https://openalex.org/W2139559590","https://openalex.org/W2140331394","https://openalex.org/W2141461755","https://openalex.org/W2149342630","https://openalex.org/W2163318198","https://openalex.org/W2222512263","https://openalex.org/W2467020497","https://openalex.org/W2491954325","https://openalex.org/W2592843051","https://openalex.org/W2791312180","https://openalex.org/W3121235808","https://openalex.org/W4239749705","https://openalex.org/W4301216918"],"related_works":["https://openalex.org/W2937059810","https://openalex.org/W2113934189","https://openalex.org/W2011647332","https://openalex.org/W1586515950","https://openalex.org/W3149825000","https://openalex.org/W4287244800","https://openalex.org/W2760584304","https://openalex.org/W2382974548","https://openalex.org/W2311097448","https://openalex.org/W4212780071"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}
