乐胖代购免代理版

{"id":"https://openalex.org/W2168332770","doi":"https://doi.org/10.1007/978-3-540-72792-7_18","title":"On the Exact Separation of Mixed Integer Knapsack Cuts","display_name":"On the Exact Separation of Mixed Integer Knapsack Cuts","publication_year":2007,"publication_date":"2007-06-25","ids":{"openalex":"https://openalex.org/W2168332770","doi":"https://doi.org/10.1007/978-3-540-72792-7_18","mag":"2168332770"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72792-7_18","pdf_url":null,"source":{"id":"https://openalex.org/S4306418923","display_name":"Integer Programming and Combinatorial Optimization","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"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/A5040209225","display_name":"Ricardo Fukasawa","orcid":"https://orcid.org/0000-0001-8785-5906"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo Fukasawa","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology,"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology,","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060437104","display_name":"Marcos Goycoolea","orcid":"https://orcid.org/0000-0003-1904-7215"},"institutions":[{"id":"https://openalex.org/I21067949","display_name":"Adolfo Ib\u00e1\u00f1ez University","ror":"https://ror.org/0326knt82","country_code":"CL","type":"education","lineage":["https://openalex.org/I21067949"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Marcos Goycoolea","raw_affiliation_strings":["School of Business, Universidad Adolfo Iba\u00f1ez,"],"affiliations":[{"raw_affiliation_string":"School of Business, Universidad Adolfo Iba\u00f1ez,","institution_ids":["https://openalex.org/I21067949"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.297,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":83,"max":84},"biblio":{"volume":null,"issue":null,"first_page":"225","last_page":"239"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9998,"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":0.9998,"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":0.9905,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9904,"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/cutting-plane-method","display_name":"Cutting-plane method","score":0.7701874},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.6924793},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.48572022},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.46579564}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.88269764},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.7701874},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.6924793},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6633745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.655428},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5740473},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.51981103},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.48572022},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.46579564},{"id":"https://openalex.org/C147700949","wikidata":"https://www.wikidata.org/wiki/Q6042594","display_name":"Integer points in convex polyhedra","level":4,"score":0.4628211},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4503903},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4237377},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3653565},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33318788},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30891377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24651438},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.14078668},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72792-7_18","pdf_url":null,"source":{"id":"https://openalex.org/S4306418923","display_name":"Integer Programming and Combinatorial Optimization","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":48,"referenced_works":["https://openalex.org/W1481126596","https://openalex.org/W1523191918","https://openalex.org/W1549174816","https://openalex.org/W1586016561","https://openalex.org/W180443138","https://openalex.org/W1963547452","https://openalex.org/W1965681691","https://openalex.org/W1967634210","https://openalex.org/W2003264207","https://openalex.org/W2010730730","https://openalex.org/W2017548615","https://openalex.org/W2021043398","https://openalex.org/W2022398556","https://openalex.org/W2022884742","https://openalex.org/W2033597899","https://openalex.org/W2034266713","https://openalex.org/W2037426997","https://openalex.org/W2042886174","https://openalex.org/W2045492613","https://openalex.org/W2050468587","https://openalex.org/W2052281387","https://openalex.org/W2054299720","https://openalex.org/W2060322444","https://openalex.org/W2066671865","https://openalex.org/W2081595120","https://openalex.org/W2083625505","https://openalex.org/W2087203776","https://openalex.org/W2106106289","https://openalex.org/W2109742527","https://openalex.org/W2112960677","https://openalex.org/W2117522563","https://openalex.org/W2137056666","https://openalex.org/W2148159997","https://openalex.org/W2149454052","https://openalex.org/W2155708792","https://openalex.org/W2158515702","https://openalex.org/W2160294322","https://openalex.org/W2167539320","https://openalex.org/W2341171179","https://openalex.org/W2413249014","https://openalex.org/W2490340839","https://openalex.org/W254944847","https://openalex.org/W2596285494","https://openalex.org/W3122954081","https://openalex.org/W3124498598","https://openalex.org/W4210953350","https://openalex.org/W4236127247","https://openalex.org/W4243368091"],"related_works":["https://openalex.org/W4206971021","https://openalex.org/W3093749629","https://openalex.org/W2979455991","https://openalex.org/W2962907004","https://openalex.org/W2157274017","https://openalex.org/W2072927730","https://openalex.org/W2026222212","https://openalex.org/W1985130235","https://openalex.org/W1969866417","https://openalex.org/W134055995"],"abstract_inverted_index":{"During":[0],"the":[1,31,73,77,100,113,143],"last":[2],"decades,":[3],"much":[4,27],"research":[5],"has":[6,24],"been":[7],"conducted":[8],"deriving":[9],"classes":[10,130],"of":[11,80,91,116,131,145],"valid":[12],"inequalities":[13],"for":[14,40,98],"single-row":[15,66,117],"mixed":[16,42,67],"integer":[17,43,68],"programming":[18,44],"polyhedrons.":[19],"However,":[20],"no":[21],"such":[22],"class":[23],"had":[25],"as":[26,30,60],"practical":[28],"success":[29],"MIR":[32,146],"inequality":[33],"when":[34],"used":[35],"in":[36,76,151],"cutting":[37],"plane":[38],"algorithms":[39],"general":[41],"problems.":[45],"In":[46],"this":[47,51,92],"work":[48],"we":[49,141],"analyze":[50,142],"empirical":[52],"observation":[53],"by":[54,125],"developing":[55],"an":[56],"algorithm":[57,93],"which":[58,105,126],"takes":[59],"input":[61],"a":[62,65,85,95],"point":[63,74],"and":[64,70,108],"polyhedron,":[69,82],"either":[71],"proves":[72],"is":[75,94],"convex":[78],"hull":[79],"said":[81],"or":[83],"finds":[84],"separating":[86],"hyperplane.":[87],"The":[88],"main":[89],"feature":[90],"specialized":[96],"subroutine":[97],"solving":[99],"Mixed":[101],"Integer":[102],"Knapsack":[103],"Problem":[104],"exploits":[106],"cost":[107],"lexicographic":[109],"dominance.":[110],"Separating":[111],"over":[112],"entire":[114],"closure":[115],"systems":[118],"allows":[119],"us":[120],"to":[121,127],"establish":[122],"natural":[123],"benchmarks":[124,136],"evaluate":[128],"specific":[129],"knapsack":[132],"cuts.":[133],"Using":[134],"these":[135],"on":[137],"Miplib":[138],"3.0":[139],"instances":[140],"performance":[144],"inequalities.":[147],"Computations":[148],"are":[149],"performed":[150],"exact":[152],"arithmetic.":[153]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2168332770","counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2024-12-29T19:06:41.630874","created_date":"2016-06-24"}