{"id":"https://openalex.org/W4298332316","doi":"https://doi.org/10.1007/978-0-387-74759-0_114","title":"Decomposition Techniques for MILP: Lagrangian Relaxation","display_name":"Decomposition Techniques for MILP: Lagrangian Relaxation","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W4298332316","doi":"https://doi.org/10.1007/978-0-387-74759-0_114"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_114","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_114","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"},"type":"book-chapter","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/A5073971578","display_name":"V. Visweswaran","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142445","display_name":"SA Technologies (United States)","ror":"https://ror.org/046qmva50","country_code":"US","type":"company","lineage":["https://openalex.org/I4210142445"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Viswanathan Visweswaran","raw_affiliation_strings":["SCA Technologies LLC, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"SCA Technologies LLC, Pittsburgh, USA","institution_ids":["https://openalex.org/I4210142445"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073971578"],"corresponding_institution_ids":["https://openalex.org/I4210142445"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68705799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"632","last_page":"638"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9975000023841858,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9975000023841858,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9782000184059143,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9717000126838684,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.7655062079429626},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.7575124502182007},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7238222360610962},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5294085741043091},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4237549304962158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3378673791885376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.331332266330719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27851104736328125},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.12044143676757812},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.04519781470298767},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.03648954629898071}],"concepts":[{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.7655062079429626},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.7575124502182007},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7238222360610962},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5294085741043091},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4237549304962158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3378673791885376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.331332266330719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27851104736328125},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.12044143676757812},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.04519781470298767},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.03648954629898071}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_114","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_114","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","score":0.550000011920929,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1989023497","https://openalex.org/W2001912652","https://openalex.org/W2147771379","https://openalex.org/W2468321705","https://openalex.org/W4236384091","https://openalex.org/W4242130683"],"related_works":["https://openalex.org/W2002102264","https://openalex.org/W2010909841","https://openalex.org/W2019088453","https://openalex.org/W2161027819","https://openalex.org/W2391863331","https://openalex.org/W2053733287","https://openalex.org/W2084322099","https://openalex.org/W2522347103","https://openalex.org/W2001614877","https://openalex.org/W2014650781"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
