{"id":"https://openalex.org/W2102838459","doi":"https://doi.org/10.1007/978-3-540-25960-2_18","title":"Separable Concave Optimization Approximately Equals Piecewise Linear Optimization","display_name":"Separable Concave Optimization Approximately Equals Piecewise Linear Optimization","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2102838459","doi":"https://doi.org/10.1007/978-3-540-25960-2_18","mag":"2102838459"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-25960-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-25960-2_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5023919615","display_name":"Thomas L. Magnanti","orcid":"https://orcid.org/0000-0002-0771-3850"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas L. Magnanti","raw_affiliation_strings":["School of Engineering and Sloan School of Management, Massachusetts Institute of Technology, Room 1-206, 77 Massachusetts Avenue, Cambridge, MA, 02139-4307, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and Sloan School of Management, Massachusetts Institute of Technology, Room 1-206, 77 Massachusetts Avenue, Cambridge, MA, 02139-4307, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009607480","display_name":"Dan Stratila","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dan Stratila","raw_affiliation_strings":["Operations Research Center, Massachusetts Institute of Technology, Room E40-130,77 Massachusetts Avenue, Cambridge, MA, 02139-1309, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Research Center, Massachusetts Institute of Technology, Room E40-130,77 Massachusetts Avenue, Cambridge, MA, 02139-1309, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.1905,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.92134831,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"234","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"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":0.9983000159263611,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9929999709129333,"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/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/separable-space","display_name":"Separable space","score":0.7236305475234985},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7060154676437378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5567102432250977},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5501105785369873},{"id":"https://openalex.org/keywords/concave-function","display_name":"Concave function","score":0.510239839553833},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5002303123474121},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3546246886253357},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3296945095062256},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22815364599227905},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13728320598602295},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.05018419027328491}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7236305475234985},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7060154676437378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5567102432250977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5501105785369873},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.510239839553833},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5002303123474121},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3546246886253357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3296945095062256},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22815364599227905},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13728320598602295},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.05018419027328491}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-25960-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-25960-2_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.761.5910","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.761.5910","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1201.3148.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W125968421","https://openalex.org/W1515029502","https://openalex.org/W1524359657","https://openalex.org/W1544515183","https://openalex.org/W1559577696","https://openalex.org/W1592788572","https://openalex.org/W1803694112","https://openalex.org/W1968119063","https://openalex.org/W1973529814","https://openalex.org/W1975789655","https://openalex.org/W1977545325","https://openalex.org/W1990313671","https://openalex.org/W1992288715","https://openalex.org/W2003159902","https://openalex.org/W2006135876","https://openalex.org/W2023054591","https://openalex.org/W2023753054","https://openalex.org/W2028827726","https://openalex.org/W2033249500","https://openalex.org/W2041463837","https://openalex.org/W2046554800","https://openalex.org/W2049097512","https://openalex.org/W2052494364","https://openalex.org/W2053352956","https://openalex.org/W2057593340","https://openalex.org/W2059149798","https://openalex.org/W2060676537","https://openalex.org/W2061211758","https://openalex.org/W2070664846","https://openalex.org/W2075910004","https://openalex.org/W2076746184","https://openalex.org/W2100440346","https://openalex.org/W2101240310","https://openalex.org/W2101622070","https://openalex.org/W2104039799","https://openalex.org/W2107857629","https://openalex.org/W2107863746","https://openalex.org/W2108303241","https://openalex.org/W2123550810","https://openalex.org/W2125401464","https://openalex.org/W2127470768","https://openalex.org/W2142758253","https://openalex.org/W2148352980","https://openalex.org/W2156060532","https://openalex.org/W2168300772","https://openalex.org/W2169143327","https://openalex.org/W2338905098","https://openalex.org/W2998757566","https://openalex.org/W4246550553","https://openalex.org/W4285719527","https://openalex.org/W4293860921","https://openalex.org/W4297399141"],"related_works":["https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218","https://openalex.org/W1794849345","https://openalex.org/W217463380"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}