{"id":"https://openalex.org/W2008285373","doi":"https://doi.org/10.1023/a:1008669120497","title":"A New Lagrangian Relaxation Based Algorithm for a Class of Multidimensional Assignment Problems","display_name":"A New Lagrangian Relaxation Based Algorithm for a Class of Multidimensional Assignment Problems","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W2008285373","doi":"https://doi.org/10.1023/a:1008669120497","mag":"2008285373"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008669120497","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008669120497","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5039701370","display_name":"Aubrey B. Poore","orcid":null},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aubrey B. Poore","raw_affiliation_strings":["Department of Mathematics, Colorado State University, Fort Collins, CO, 80523","Department of Mathematics, Colorado State University, Fort Collins, CO 80523.  E-mail: poore@math.colostate.edu"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, CO, 80523","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, CO 80523.  E-mail: poore@math.colostate.edu","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052559800","display_name":"Alexander J. Robertson","orcid":"https://orcid.org/0000-0003-4607-4470"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander J. Robertson III","raw_affiliation_strings":["BDM Federal, Inc., 3375 Mitchell Lane, Boulder, CO, 80301","BDM Federal, Inc., 3375 Mitchell Lane, Boulder, CO 80301. E-mail: aroberts@bdm.com#TAB#"],"affiliations":[{"raw_affiliation_string":"BDM Federal, Inc., 3375 Mitchell Lane, Boulder, CO, 80301","institution_ids":[]},{"raw_affiliation_string":"BDM Federal, Inc., 3375 Mitchell Lane, Boulder, CO 80301. E-mail: aroberts@bdm.com#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039701370"],"corresponding_institution_ids":["https://openalex.org/I92446798"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0469,"has_fulltext":false,"cited_by_count":141,"citation_normalized_percentile":{"value":0.91410059,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"8","issue":"2","first_page":"129","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9901000261306763,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9901000261306763,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.989300012588501,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9868000149726868,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.7111584544181824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.654232919216156},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6213062405586243},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5684471726417542},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.553842306137085},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.47813475131988525},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4708670675754547},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4452393054962158},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4334689676761627},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4259258508682251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3143826723098755},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.27036792039871216},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15020161867141724}],"concepts":[{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.7111584544181824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.654232919216156},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6213062405586243},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5684471726417542},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.553842306137085},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.47813475131988525},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4708670675754547},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4452393054962158},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4334689676761627},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4259258508682251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3143826723098755},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27036792039871216},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15020161867141724},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008669120497","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008669120497","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W19016451","https://openalex.org/W45102394","https://openalex.org/W124548777","https://openalex.org/W173123626","https://openalex.org/W1547430405","https://openalex.org/W1553702074","https://openalex.org/W1559215823","https://openalex.org/W1572355494","https://openalex.org/W1595806655","https://openalex.org/W1646038686","https://openalex.org/W1979743058","https://openalex.org/W1981908713","https://openalex.org/W1990546837","https://openalex.org/W2002091899","https://openalex.org/W2006743657","https://openalex.org/W2008164266","https://openalex.org/W2008571296","https://openalex.org/W2011039300","https://openalex.org/W2015263936","https://openalex.org/W2041928877","https://openalex.org/W2053616907","https://openalex.org/W2053913299","https://openalex.org/W2054393359","https://openalex.org/W2065841482","https://openalex.org/W2079688774","https://openalex.org/W2117942072","https://openalex.org/W2128123518","https://openalex.org/W2164939636","https://openalex.org/W2398849219","https://openalex.org/W2399468332","https://openalex.org/W4211092921","https://openalex.org/W4212912562"],"related_works":["https://openalex.org/W4237964977","https://openalex.org/W2002102264","https://openalex.org/W2155100848","https://openalex.org/W2075228635","https://openalex.org/W3097196196","https://openalex.org/W3149469165","https://openalex.org/W4313484281","https://openalex.org/W181997498","https://openalex.org/W2027845496","https://openalex.org/W2616198151"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}