{"id":"https://openalex.org/W2020282424","doi":"https://doi.org/10.1016/s0377-2217(02)00071-1","title":"Solving integer programs over monotone inequalities in three variables: A framework for half integrality and good approximations","display_name":"Solving integer programs over monotone inequalities in three variables: A framework for half integrality and good approximations","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2020282424","doi":"https://doi.org/10.1016/s0377-2217(02)00071-1","mag":"2020282424"},"language":"en","primary_location":{"id":"doi:10.1016/s0377-2217(02)00071-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(02)00071-1","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"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":"European Journal of Operational 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/A5085640376","display_name":"Dorit S. Hochbaum","orcid":"https://orcid.org/0000-0002-2498-0512"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dorit S. Hochbaum","raw_affiliation_strings":["Industrial Engineering & Operations Research, and Walter A. Haas School of Business, University of California, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering & Operations Research, and Walter A. Haas School of Business, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085640376"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":5.4565,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.96267496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"140","issue":"2","first_page":"291","last_page":"321"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"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":0.9973999857902527,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9968000054359436,"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/mathematics","display_name":"Mathematics","score":0.7571978569030762},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.6956155300140381},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6531988382339478},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6145772337913513},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5711367130279541},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5044804811477661},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4838889539241791},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.45847371220588684},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45407047867774963},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4443530738353729},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4331516623497009},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.42961937189102173},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.41111087799072266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13900205492973328}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7571978569030762},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.6956155300140381},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6531988382339478},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6145772337913513},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5711367130279541},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5044804811477661},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4838889539241791},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.45847371220588684},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45407047867774963},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4443530738353729},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4331516623497009},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.42961937189102173},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.41111087799072266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13900205492973328},{"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0377-2217(02)00071-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(02)00071-1","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"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":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:ejores:v:140:y:2002:i:2:p:291-321","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0377-2217(02)00071-1","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":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W64690233","https://openalex.org/W70664822","https://openalex.org/W168093571","https://openalex.org/W226144781","https://openalex.org/W1485007464","https://openalex.org/W1523006294","https://openalex.org/W1546059569","https://openalex.org/W1562915588","https://openalex.org/W1985123706","https://openalex.org/W1986135089","https://openalex.org/W1989262026","https://openalex.org/W1990313671","https://openalex.org/W1992370758","https://openalex.org/W1992520677","https://openalex.org/W1999032440","https://openalex.org/W2000472767","https://openalex.org/W2013347084","https://openalex.org/W2013469283","https://openalex.org/W2019062750","https://openalex.org/W2030702117","https://openalex.org/W2035652501","https://openalex.org/W2036285035","https://openalex.org/W2044343300","https://openalex.org/W2048441979","https://openalex.org/W2051006653","https://openalex.org/W2059401572","https://openalex.org/W2061872629","https://openalex.org/W2077783414","https://openalex.org/W2081254453","https://openalex.org/W2088188524","https://openalex.org/W2090359754","https://openalex.org/W2093128520","https://openalex.org/W2095284441","https://openalex.org/W2103985627","https://openalex.org/W2121204510","https://openalex.org/W2125690626","https://openalex.org/W2128208761","https://openalex.org/W2150529683","https://openalex.org/W2156036190","https://openalex.org/W2494026964","https://openalex.org/W2913222977","https://openalex.org/W2913458281","https://openalex.org/W6602658620","https://openalex.org/W6606840743","https://openalex.org/W6628965327","https://openalex.org/W6631388351","https://openalex.org/W6632572839","https://openalex.org/W6633534934","https://openalex.org/W6678895451"],"related_works":["https://openalex.org/W2009796757","https://openalex.org/W4252122881","https://openalex.org/W2769220156","https://openalex.org/W134055995","https://openalex.org/W4302819359","https://openalex.org/W4210880521","https://openalex.org/W1981350060","https://openalex.org/W58208513","https://openalex.org/W2769538987","https://openalex.org/W4300803591"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"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":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}