{"id":"https://openalex.org/W2030906952","doi":"https://doi.org/10.1007/s10479-015-2024-0","title":"Relaxations of mixed integer sets from lattice-free polyhedra","display_name":"Relaxations of mixed integer sets from lattice-free polyhedra","publication_year":2015,"publication_date":"2015-09-18","ids":{"openalex":"https://openalex.org/W2030906952","doi":"https://doi.org/10.1007/s10479-015-2024-0","mag":"2030906952"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-015-2024-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-015-2024-0","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.11850/51191","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041262148","display_name":"Alberto Del Pia","orcid":"https://orcid.org/0000-0001-8428-3914"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alberto Del Pia","raw_affiliation_strings":["Department of Industrial and Systems Engineering and Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","University of Wisconsin, Madison"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering and Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]},{"raw_affiliation_string":"University of Wisconsin, Madison","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029637448","display_name":"Robert Weismantel","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Robert Weismantel","raw_affiliation_strings":["Department of Mathematics, Institute for Operations Research, ETH Z\u00fcrich, Zurich, Switzerland","[ETH, Zurich]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Operations Research, ETH Z\u00fcrich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"[ETH, Zurich]","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041262148"],"corresponding_institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.0258,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8069961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"240","issue":"1","first_page":"95","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9944999814033508,"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":0.9944999814033508,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9944000244140625,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.9244781732559204},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.7490074634552002},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7069826722145081},{"id":"https://openalex.org/keywords/integer-lattice","display_name":"Integer lattice","score":0.6587340235710144},{"id":"https://openalex.org/keywords/integer-points-in-convex-polyhedra","display_name":"Integer points in convex polyhedra","score":0.5731896758079529},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5355128645896912},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.496315062046051},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.49452707171440125},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.47358614206314087},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42844077944755554},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42809075117111206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3622872233390808},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3230922222137451},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2678366005420685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.173721045255661},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.10729542374610901},{"id":"https://openalex.org/keywords/half-integer","display_name":"Half-integer","score":0.07478126883506775}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.9244781732559204},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7490074634552002},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7069826722145081},{"id":"https://openalex.org/C142885752","wikidata":"https://www.wikidata.org/wiki/Q1252145","display_name":"Integer lattice","level":3,"score":0.6587340235710144},{"id":"https://openalex.org/C147700949","wikidata":"https://www.wikidata.org/wiki/Q6042594","display_name":"Integer points in convex polyhedra","level":4,"score":0.5731896758079529},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5355128645896912},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.496315062046051},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.49452707171440125},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.47358614206314087},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42844077944755554},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42809075117111206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3622872233390808},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3230922222137451},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2678366005420685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.173721045255661},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.10729542374610901},{"id":"https://openalex.org/C56863137","wikidata":"https://www.wikidata.org/wiki/Q743139","display_name":"Half-integer","level":2,"score":0.07478126883506775},{"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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10479-015-2024-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-015-2024-0","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:240:y:2016:i:1:d:10.1007_s10479-015-2024-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-015-2024-0","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"},{"id":"pmh:oai:doc.rero.ch:310042","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/51191","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/51191","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"4OR, 10 (3)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3929/ethz-b-000051191","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000051191","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","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":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/51191","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/51191","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"4OR, 10 (3)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":88,"referenced_works":["https://openalex.org/W72849363","https://openalex.org/W107540463","https://openalex.org/W186788842","https://openalex.org/W1500604508","https://openalex.org/W1523191918","https://openalex.org/W1572542781","https://openalex.org/W1619401716","https://openalex.org/W1624770133","https://openalex.org/W1764047695","https://openalex.org/W1816539071","https://openalex.org/W1963547452","https://openalex.org/W1970193303","https://openalex.org/W1972997295","https://openalex.org/W1976553218","https://openalex.org/W1985421194","https://openalex.org/W1992399294","https://openalex.org/W1993493269","https://openalex.org/W1993746545","https://openalex.org/W2009683816","https://openalex.org/W2009866245","https://openalex.org/W2010730730","https://openalex.org/W2021043398","https://openalex.org/W2021079478","https://openalex.org/W2021567595","https://openalex.org/W2021659530","https://openalex.org/W2033040247","https://openalex.org/W2034266713","https://openalex.org/W2035117007","https://openalex.org/W2040348759","https://openalex.org/W2046076510","https://openalex.org/W2065803772","https://openalex.org/W2069740814","https://openalex.org/W2070134421","https://openalex.org/W2071996748","https://openalex.org/W2082154838","https://openalex.org/W2083016760","https://openalex.org/W2083625505","https://openalex.org/W2094271602","https://openalex.org/W2095702501","https://openalex.org/W2100782434","https://openalex.org/W2101620967","https://openalex.org/W2104477931","https://openalex.org/W2109075404","https://openalex.org/W2111574881","https://openalex.org/W2113011069","https://openalex.org/W2114379709","https://openalex.org/W2114522888","https://openalex.org/W2125211008","https://openalex.org/W2128560640","https://openalex.org/W2129569234","https://openalex.org/W2131137303","https://openalex.org/W2133520778","https://openalex.org/W2137155296","https://openalex.org/W2145243417","https://openalex.org/W2147382371","https://openalex.org/W2148159997","https://openalex.org/W2150339943","https://openalex.org/W2151308681","https://openalex.org/W2154900771","https://openalex.org/W2155708792","https://openalex.org/W2157274017","https://openalex.org/W2157487045","https://openalex.org/W2161406995","https://openalex.org/W2164706866","https://openalex.org/W2165208624","https://openalex.org/W2168004511","https://openalex.org/W2169739053","https://openalex.org/W2171238021","https://openalex.org/W2325571527","https://openalex.org/W2326888094","https://openalex.org/W2553825886","https://openalex.org/W2748173301","https://openalex.org/W2962949660","https://openalex.org/W3099297138","https://openalex.org/W3100131142","https://openalex.org/W3104546908","https://openalex.org/W3104899575","https://openalex.org/W3122332902","https://openalex.org/W3124498598","https://openalex.org/W3136354049","https://openalex.org/W4239881334","https://openalex.org/W4249667877","https://openalex.org/W4250915400","https://openalex.org/W4253741566","https://openalex.org/W4301808069","https://openalex.org/W6655913904","https://openalex.org/W6679252842","https://openalex.org/W6996888795"],"related_works":["https://openalex.org/W2065803772","https://openalex.org/W3091857200","https://openalex.org/W1536211921","https://openalex.org/W2198935113","https://openalex.org/W29260458","https://openalex.org/W2095207331","https://openalex.org/W4298518812","https://openalex.org/W2952161372","https://openalex.org/W2169582012","https://openalex.org/W2157274017"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}