{"id":"https://openalex.org/W1593376002","doi":"https://doi.org/10.1007/3-540-45586-8_1","title":"General Mixed Integer Programming: Computational Issues for Branch-and-Cut Algorithms","display_name":"General Mixed Integer Programming: Computational Issues for Branch-and-Cut Algorithms","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1593376002","doi":"https://doi.org/10.1007/3-540-45586-8_1","mag":"1593376002"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45586-8_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45586-8_1","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":"book-chapter","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/A5006197528","display_name":"Alexander Mart\u00edn","orcid":"https://orcid.org/0000-0001-7602-3653"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alexander Martin","raw_affiliation_strings":["Department of Mathematics, Darmstadt University of Technology, Schlossgartenstr. 7, D-64289, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Darmstadt University of Technology, Schlossgartenstr. 7, D-64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006197528"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.8691,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.95948683,"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":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9997000098228455,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9997000098228455,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9994999766349792,"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":0.9980999827384949,"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/branch-and-cut","display_name":"Branch and cut","score":0.8631842136383057},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.8168755769729614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7317504286766052},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.7251837849617004},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.6558773517608643},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.6508489847183228},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.6363723278045654},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5347235798835754},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5201488137245178},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4750647246837616},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3558877110481262},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16627058386802673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1560761034488678},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09160676598548889}],"concepts":[{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.8631842136383057},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.8168755769729614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7317504286766052},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.7251837849617004},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.6558773517608643},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.6508489847183228},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.6363723278045654},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5347235798835754},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5201488137245178},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4750647246837616},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3558877110481262},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16627058386802673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1560761034488678},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09160676598548889},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45586-8_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45586-8_1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":79,"referenced_works":["https://openalex.org/W30880036","https://openalex.org/W149430354","https://openalex.org/W180443138","https://openalex.org/W195014378","https://openalex.org/W1481126596","https://openalex.org/W1576434005","https://openalex.org/W1583961104","https://openalex.org/W1594264634","https://openalex.org/W1600578371","https://openalex.org/W1661542135","https://openalex.org/W1964024778","https://openalex.org/W1965772065","https://openalex.org/W1967535666","https://openalex.org/W1970193303","https://openalex.org/W1971724331","https://openalex.org/W1971772321","https://openalex.org/W1975365958","https://openalex.org/W1985990685","https://openalex.org/W1990585107","https://openalex.org/W1991247020","https://openalex.org/W1999049191","https://openalex.org/W2001472819","https://openalex.org/W2001619061","https://openalex.org/W2004084436","https://openalex.org/W2006934540","https://openalex.org/W2007126271","https://openalex.org/W2009683816","https://openalex.org/W2012329067","https://openalex.org/W2021043398","https://openalex.org/W2022398556","https://openalex.org/W2027814833","https://openalex.org/W2028498002","https://openalex.org/W2031595762","https://openalex.org/W2038195012","https://openalex.org/W2039648193","https://openalex.org/W2044453435","https://openalex.org/W2045734922","https://openalex.org/W2046300504","https://openalex.org/W2047480744","https://openalex.org/W2047773548","https://openalex.org/W2063558363","https://openalex.org/W2064366623","https://openalex.org/W2084616826","https://openalex.org/W2087947577","https://openalex.org/W2092128803","https://openalex.org/W2100440346","https://openalex.org/W2103254960","https://openalex.org/W2107764602","https://openalex.org/W2111175290","https://openalex.org/W2111606357","https://openalex.org/W2112502194","https://openalex.org/W2113011069","https://openalex.org/W2120803616","https://openalex.org/W2124452917","https://openalex.org/W2134656724","https://openalex.org/W2137021253","https://openalex.org/W2145243417","https://openalex.org/W2155239253","https://openalex.org/W2163013568","https://openalex.org/W2167539320","https://openalex.org/W2249755937","https://openalex.org/W2404248656","https://openalex.org/W2808512824","https://openalex.org/W3122954081","https://openalex.org/W3123274922","https://openalex.org/W4206734951","https://openalex.org/W4210953350","https://openalex.org/W4212907853","https://openalex.org/W4238671349","https://openalex.org/W4241686419","https://openalex.org/W4243368091","https://openalex.org/W4250915400","https://openalex.org/W6634515948","https://openalex.org/W6648115406","https://openalex.org/W6666546854","https://openalex.org/W6674941284","https://openalex.org/W7036981993","https://openalex.org/W7042337339","https://openalex.org/W7064556648"],"related_works":["https://openalex.org/W2009796757","https://openalex.org/W3006617646","https://openalex.org/W4210880521","https://openalex.org/W2084616826","https://openalex.org/W1971357083","https://openalex.org/W1968202374","https://openalex.org/W4230854124","https://openalex.org/W2008600006","https://openalex.org/W2263874601","https://openalex.org/W2158503982"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}