{"id":"https://openalex.org/W2050216598","doi":"https://doi.org/10.1016/0305-0548(78)90018-7","title":"On obtaining the \u2018best\u2019 multipliers for a lagrangean relaxation for integer programming","display_name":"On obtaining the \u2018best\u2019 multipliers for a lagrangean relaxation for integer programming","publication_year":1978,"publication_date":"1978-01-01","ids":{"openalex":"https://openalex.org/W2050216598","doi":"https://doi.org/10.1016/0305-0548(78)90018-7","mag":"2050216598"},"language":"en","primary_location":{"id":"doi:10.1016/0305-0548(78)90018-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(78)90018-7","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","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/A5025923476","display_name":"Bezalel Gavish","orcid":null},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bezalel Gavish","raw_affiliation_strings":["Graduate School of Management, University of Rochester, Rochester, New York 14627, U.S.A","Graduate School of Management, University of Rochester, Rochester, New York 14627 U.S.A"],"affiliations":[{"raw_affiliation_string":"Graduate School of Management, University of Rochester, Rochester, New York 14627, U.S.A","institution_ids":["https://openalex.org/I5388228"]},{"raw_affiliation_string":"Graduate School of Management, University of Rochester, Rochester, New York 14627 U.S.A","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025923476"],"corresponding_institution_ids":["https://openalex.org/I5388228"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":null,"fwci":1.0784,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.73529412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":"1","first_page":"55","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"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":0.9988999962806702,"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/T12288","display_name":"Optimization and Search Problems","score":0.9923999905586243,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9911999702453613,"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/integer-programming","display_name":"Integer programming","score":0.7522232532501221},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.7519684433937073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.660401463508606},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6343371868133545},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5531062483787537},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.5328114032745361},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5252777338027954},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5203463435173035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5075162649154663},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.49957871437072754},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.4294102191925049},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.42712903022766113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4253464937210083},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.416778564453125}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7522232532501221},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.7519684433937073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.660401463508606},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6343371868133545},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5531062483787537},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.5328114032745361},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5252777338027954},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5203463435173035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5075162649154663},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.49957871437072754},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.4294102191925049},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.42712903022766113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4253464937210083},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.416778564453125},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0305-0548(78)90018-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(78)90018-7","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","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":25,"referenced_works":["https://openalex.org/W33191036","https://openalex.org/W137915142","https://openalex.org/W1979519690","https://openalex.org/W1979872043","https://openalex.org/W1989322847","https://openalex.org/W2004796401","https://openalex.org/W2008109496","https://openalex.org/W2017697298","https://openalex.org/W2018638861","https://openalex.org/W2020030076","https://openalex.org/W2045638801","https://openalex.org/W2058324360","https://openalex.org/W2069277547","https://openalex.org/W2070390512","https://openalex.org/W2080279906","https://openalex.org/W2091914899","https://openalex.org/W2094232889","https://openalex.org/W2139211712","https://openalex.org/W2143291407","https://openalex.org/W2324735073","https://openalex.org/W4242130683","https://openalex.org/W4250535541","https://openalex.org/W4256012320","https://openalex.org/W6601341106","https://openalex.org/W6635049128"],"related_works":["https://openalex.org/W2009796757","https://openalex.org/W2769220156","https://openalex.org/W2024753861","https://openalex.org/W2568448495","https://openalex.org/W2081493497","https://openalex.org/W2218893665","https://openalex.org/W2084009144","https://openalex.org/W4210268737","https://openalex.org/W192166791","https://openalex.org/W2366969645"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}