{"id":"https://openalex.org/W1988418743","doi":"https://doi.org/10.1016/s0166-218x(00)00216-x","title":"Polyhedral methods for piecewise-linear functions I: the lambda method","display_name":"Polyhedral methods for piecewise-linear functions I: the lambda method","publication_year":2001,"publication_date":"2001-03-01","ids":{"openalex":"https://openalex.org/W1988418743","doi":"https://doi.org/10.1016/s0166-218x(00)00216-x","mag":"1988418743"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(00)00216-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(00)00216-x","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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/A5031373908","display_name":"Jon Lee","orcid":"https://orcid.org/0000-0002-8190-1091"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jon Lee","raw_affiliation_strings":["Department of Mathematics, 715 Patterson Office Tower, University of Kentucky, Lexington, Kentucky 40506-0027, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, 715 Patterson Office Tower, University of Kentucky, Lexington, Kentucky 40506-0027, USA","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068991461","display_name":"Dan Wilson","orcid":null},"institutions":[{"id":"https://openalex.org/I4210123843","display_name":"Advanced Technologies Group (United States)","ror":"https://ror.org/0359sgh16","country_code":"US","type":"company","lineage":["https://openalex.org/I4210123843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dan Wilson","raw_affiliation_strings":["U. S. West Advanced Technologies, 4001 Discovery Drive, Boulder, Colorado 80303, USA"],"affiliations":[{"raw_affiliation_string":"U. S. West Advanced Technologies, 4001 Discovery Drive, Boulder, Colorado 80303, USA","institution_ids":["https://openalex.org/I4210123843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031373908"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.4636,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.64266072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"108","issue":"3","first_page":"269","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.8443906307220459},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.7192283868789673},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7031588554382324},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6416645050048828},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.629799485206604},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5940543413162231},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5575220584869385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5047529935836792},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4301910698413849},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.42942798137664795},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3489378094673157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14497488737106323}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8443906307220459},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.7192283868789673},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7031588554382324},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6416645050048828},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.629799485206604},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5940543413162231},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5575220584869385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5047529935836792},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4301910698413849},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.42942798137664795},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3489378094673157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14497488737106323},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0166-218x(00)00216-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(00)00216-x","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:cor:louvrp:-1493","is_oa":false,"landing_page_url":"http://doi.org/10.1016/S0166-218X(00)00216-X","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W25288802","https://openalex.org/W39785869","https://openalex.org/W1968143987","https://openalex.org/W2073181581","https://openalex.org/W2078992232","https://openalex.org/W3043060850"],"related_works":["https://openalex.org/W2092519139","https://openalex.org/W2161116097","https://openalex.org/W2137477972","https://openalex.org/W3122327683","https://openalex.org/W2124847400","https://openalex.org/W2090395152","https://openalex.org/W1501720063","https://openalex.org/W1975333294","https://openalex.org/W2029521690","https://openalex.org/W2125401464"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}