{"id":"https://openalex.org/W2025806871","doi":"https://doi.org/10.1007/bf01593800","title":"An algebraic approach to assignment problems","display_name":"An algebraic approach to assignment problems","publication_year":1977,"publication_date":"1977-12-01","ids":{"openalex":"https://openalex.org/W2025806871","doi":"https://doi.org/10.1007/bf01593800","mag":"2025806871"},"language":"en","primary_location":{"id":"doi:10.1007/bf01593800","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01593800","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5044307799","display_name":"Rainer E. Burkard","orcid":null},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rainer E. Burkard","raw_affiliation_strings":["University of Cologne, Cologne, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cologne, Cologne, Germany","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052110014","display_name":"Willi Hahn","orcid":null},"institutions":[{"id":"https://openalex.org/I143910747","display_name":"TH Bingen University of Applied Sciences","ror":"https://ror.org/01pxkj057","country_code":"DE","type":"education","lineage":["https://openalex.org/I143910747"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Willi Hahn","raw_affiliation_strings":["Fachhochschule des Landes Rheinland Pfalz, Bingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachhochschule des Landes Rheinland Pfalz, Bingen, Germany","institution_ids":["https://openalex.org/I143910747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039879204","display_name":"U. Zimmermann","orcid":"https://orcid.org/0000-0002-1353-8411"},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe Zimmermann","raw_affiliation_strings":["University of Cologne, Cologne, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cologne, Cologne, Germany","institution_ids":["https://openalex.org/I180923762"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":7.9604,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.98142415,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":"1","first_page":"318","last_page":"327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.16699999570846558,"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":0.16699999570846558,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.16009999811649323,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.13300000131130219,"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/mathematics","display_name":"Mathematics","score":0.8208641409873962},{"id":"https://openalex.org/keywords/linear-bottleneck-assignment-problem","display_name":"Linear bottleneck assignment problem","score":0.6962201595306396},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.6013345718383789},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5276744961738586},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.49289369583129883},{"id":"https://openalex.org/keywords/generalized-assignment-problem","display_name":"Generalized assignment problem","score":0.48033133149147034},{"id":"https://openalex.org/keywords/weapon-target-assignment-problem","display_name":"Weapon target assignment problem","score":0.4506238102912903},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44039687514305115},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4190680980682373},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4150477349758148},{"id":"https://openalex.org/keywords/assignment-problem","display_name":"Assignment problem","score":0.40734076499938965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3914363980293274},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3767904043197632},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2870771884918213},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15228915214538574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1037551760673523}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8208641409873962},{"id":"https://openalex.org/C165810428","wikidata":"https://www.wikidata.org/wiki/Q6553416","display_name":"Linear bottleneck assignment problem","level":5,"score":0.6962201595306396},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.6013345718383789},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5276744961738586},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.49289369583129883},{"id":"https://openalex.org/C194146004","wikidata":"https://www.wikidata.org/wiki/Q5532462","display_name":"Generalized assignment problem","level":3,"score":0.48033133149147034},{"id":"https://openalex.org/C30202268","wikidata":"https://www.wikidata.org/wiki/Q7978065","display_name":"Weapon target assignment problem","level":4,"score":0.4506238102912903},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44039687514305115},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4190680980682373},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4150477349758148},{"id":"https://openalex.org/C85044808","wikidata":"https://www.wikidata.org/wiki/Q620614","display_name":"Assignment problem","level":2,"score":0.40734076499938965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3914363980293274},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3767904043197632},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2870771884918213},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15228915214538574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1037551760673523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":1,"locations":[{"id":"doi:10.1007/bf01593800","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01593800","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1964119857","https://openalex.org/W2089608799","https://openalex.org/W2153938748"],"related_works":["https://openalex.org/W2937059810","https://openalex.org/W2113934189","https://openalex.org/W1586515950","https://openalex.org/W1560792291","https://openalex.org/W3149825000","https://openalex.org/W4212780071","https://openalex.org/W4287244800","https://openalex.org/W2760584304","https://openalex.org/W2382974548","https://openalex.org/W2311097448"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}