{"id":"https://openalex.org/W1917568570","doi":"https://doi.org/10.1002/9780470400531.eorms0437","title":"Presolving Mixed\u2013Integer Linear Programs","display_name":"Presolving Mixed\u2013Integer Linear Programs","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1917568570","doi":"https://doi.org/10.1002/9780470400531.eorms0437","mag":"1917568570"},"language":"en","primary_location":{"id":"doi:10.1002/9780470400531.eorms0437","doi":"https://doi.org/10.1002/9780470400531.eorms0437","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9780470400531.eorms0437","pdf_url":null,"source":{"id":"https://openalex.org/S4306464293","display_name":"Wiley eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wiley Encyclopedia of Operations Research and Management Science","raw_type":"other"},"volume":{"id":"https://openalex.org/W1481170590","display_name":"Wiley Encyclopedia of Operations Research and Management Science"},"type":"reference-entry","is_traditional":false,"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/A5030659270","display_name":"Ashutosh Mahajan","orcid":"https://orcid.org/0000-0002-4602-7431","observed_orcids":["https://orcid.org/0000-0002-4602-7431"]},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ashutosh Mahajan","raw_affiliation_strings":["Argonne National Laboratory, Mathematics and Computer Science Division, Argonne, Illinois"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Argonne National Laboratory, Mathematics and Computer Science Division, Argonne, Illinois","institution_ids":["https://openalex.org/I1282105669"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030659270"],"corresponding_institution_ids":["https://openalex.org/I1282105669"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9955999851226807,"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":0.9955999851226807,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.002099999925121665,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mixed-integer-linear-programming","display_name":"mixed-integer linear programming","score":0.9670000076293945},{"id":"https://openalex.org/keywords/problem-simplification","display_name":"problem simplification","score":0.6840000152587891},{"id":"https://openalex.org/keywords/instance-reduction","display_name":"instance reduction","score":0.34599998593330383}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7962771654129028},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7233161330223083},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6435697078704834},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.587883710861206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5026876926422119},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36875706911087036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3528938293457031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30632317066192627},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1192452609539032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/9780470400531.eorms0437","doi":"https://doi.org/10.1002/9780470400531.eorms0437","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9780470400531.eorms0437","pdf_url":null,"source":{"id":"https://openalex.org/S4306464293","display_name":"Wiley eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wiley Encyclopedia of Operations Research and Management Science","raw_type":"other"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1594264634","https://openalex.org/W1594623453","https://openalex.org/W1964166152","https://openalex.org/W1965772065","https://openalex.org/W1971772321","https://openalex.org/W1977000744","https://openalex.org/W2001341021","https://openalex.org/W2009683816","https://openalex.org/W2014328192","https://openalex.org/W2025061866","https://openalex.org/W2026106837","https://openalex.org/W2027814833","https://openalex.org/W2028498002","https://openalex.org/W2031216525","https://openalex.org/W2041754841","https://openalex.org/W2052256717","https://openalex.org/W2063558363","https://openalex.org/W2064927288","https://openalex.org/W2074134927","https://openalex.org/W2087947577","https://openalex.org/W2092128803","https://openalex.org/W2106106289","https://openalex.org/W2167539320","https://openalex.org/W2222122796","https://openalex.org/W2808512824"],"related_works":["https://openalex.org/W2125506391","https://openalex.org/W2016761488","https://openalex.org/W2587095554","https://openalex.org/W3051851235","https://openalex.org/W1891809741","https://openalex.org/W3081419633","https://openalex.org/W4380367680","https://openalex.org/W4393179791","https://openalex.org/W2018254539","https://openalex.org/W6984744333"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"survey":[2],"the":[3],"techniques":[4],"used":[5,24],"for":[6,25,30,38,46],"presolving":[7],"mixed\u2010integer":[8],"linear":[9],"programs":[10],"(MILPs).":[11],"Presolving":[12],"is":[13,23],"an":[14,48],"important":[15],"component":[16],"of":[17],"all":[18],"modern":[19],"MILP":[20],"solvers.":[21],"It":[22],"simplifying":[26],"a":[27],"given":[28],"instance,":[29],"detecting":[31],"any":[32],"obvious":[33],"problems":[34],"or":[35],"errors,":[36],"and":[37,41],"identifying":[39],"structures":[40],"characteristics":[42],"that":[43],"are":[44],"useful":[45],"solving":[47],"instance.":[49]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}