{“id”:“https://openalex.org/W1990900182“,”doi“:”https://doi.org/10.1287/moor.2013.0608“,”title“:”2-配对,旅行推销员问题和次要LP:Boyd-Carr猜想的证明“,”display_name“:”2-配对,旅行推销员问题和次要LP:Boyd-Carr猜想的证明“,”publication_year“:2014,”publication_date“:”2014-05-01“,”ids“:{”openalex“:”https://openalex.org/W1990900182“,”doi“:”https://doi.org/10.1287/摩尔.2013.0608“,”mag“:”1990900182“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1287/moor.2013.0608“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S55826652“,”display_name“:”运筹学数学“,”issn_l“:”0364-765X“,”isn“:[”0364~765X“,“1526-5471”],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310315699“,”“host_organization_name”:“运筹学与管理科学研究所”,“host_ordanization_lineage”:[“https://openalex.org/P4310315699“],”host_organization_lineage_names“:[”运筹学与管理科学研究所“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“joural-article”,“indexed_in”:[”crossref“]oa_url“:null,”any_repository_has_fulltext“:false},”作者身份“:[{”作者位置“:”第一个“,”作者“:{”id“:”https://openalex.org/A5014510870“,”display_name“:”Frans Schalekamp“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I16285277“,”display_name“:”William&Mary“,”ror“:”https://ror.org/03hsf0573“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I16285277“]},{”id“:”https://openalex.org/I267592682“,”display_name“:”Williams(美国)“,”ror“:”https://ror.org/007zhvp17“,”country_code“:”US“,”type“:“company”,”lineage“:[”https://openalex.org/I267592682“]}],”countries“:[”US“],”is_corresponding“:false,”raw_author_name“:”Frans Schalekamp“,”raw _affiliation_strings“:【”弗吉尼亚州威廉斯堡威廉与玛丽学院数学系,23185“】,”affiliations“:[{”raw _affiliation_string“:”弗吉尼亚州威廉与玛丽大学数学系,威廉斯堡23185”,“institution_ids”:【”https://openalex.org/I16285277","https://openalex.org/I267592682“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5043667154“,”display_name“:”David P.Williamson“,”orcid“:”https://orcid.org/0000-0002-2884-0058},“机构”:[{“id”:https://openalex.org/I205783295“,”display_name“:”康奈尔大学“,”ror“:”https://ror.org/05bnh6r87“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I205783295“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”David P.Williamson“,”raw _ afiliation_strings“:[“康奈尔大学运营研究与信息工程学院,伊萨卡,纽约14853”],”affiliations“:[{”raw _affiliation_strong“:”康奈尔大学运营研究与信息工程学院,伊萨卡,纽约14853“,”institution_ids“:[”https://openalex.org/I205783295“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5078740101“,”display_name“:”Anke van Zuylen“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I16285277“,”display_name“:”William&Mary“,”ror“:”https://ror.org/03hsf0573“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I16285277“]},{”id“:”https://openalex.org/I267592682“,”display_name“:”Williams(美国)“,”ror“:”https://ror.org/007zhvp17“,”country_code“:”US“,”type“:“company”,”lineage“:[”https://openalex.org/I267592682“]}],”countries“:[”US“],”is_corresponding“:false,”raw_author_name“:”Anke van Zuylen“,”raw _affiliation_strings“:【”弗吉尼亚州威廉斯堡威廉与玛丽学院数学系,23185“】,”affiliations“:[{”raw _affiliation_string“:”弗吉尼亚州威廉与玛丽大学数学系,威廉斯堡23185”,“institution_ids”:【”https://openalex.org/I16285277","https://openalex.org/I267592682“]}]}],”countries_destict_count“:1,”institutions_disict_count“:3,”corresponding_author_ids“:[],”corresponding_institution_ids“:[],”apc_list“:null,”apc_payed“:null,”fwci“:2.755,”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:23,”cited_by_percentle_year“:{”min“:92,”max“:93},”biblio“:{”volume“:”39“,“issue”:“2”,“first_page”:“403”,“last_page“:”417“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10567“,”display_name“:”车辆路线问题和变体“,”score“:0.9986,”subfield“:{”id“:”https://openalex.org/subfields/2209“,”display_name“:”工业和制造工程“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10567“,”display_name“:”车辆路线问题和变体“,”score“:0.9986,”subfield“:{”id“:”https://openalex.org/subfields/2209“,”display_name“:”工业和制造工程“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10374“,”display_name“:”图论与算法“,”score“:0.9908,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12176“,”“display_name”:“切割和包装问题的优化”,“score”:0.9893,“subfield”:{“id”:“https://openalex.org/subfields/2209“,”display_name“:”工业和制造工程“},”字段“:{”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/constraint-satisfaction-problems“,”display_name“:”约束满足问题“,”score“:0.578223},{”id“:”https://openalex.org/keywords/large-scale-optimization网站“,”display_name“:”大型优化“,”score“:0.52937},{”id“:”https://openalex.org/keywords/近似算法“,”display_name“:”近似算法“,”score“:0.516077},{”id“:”https://openalex.org/keywords/parameterized-complexity网站“,”display_name“:”参数化复杂性“,”score“:0.505983}],”concepts“:[{”id“:”https://openalex.org/C175859090,“wikidata”:https://www.wikidata.org/wiki/Q322212“,”display_name“:”旅行推销员问题“,”level“:2,”score“:0.78192604},{”id“:”https://openalex.org/C2780990831,“wikidata”:https://www.wikidata.org/wiki/Q319141“,”display_name“:”推测“,”级别“:2,”分数“:0.7683009},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.7350836},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.7249996},{”id“:”https://openalex.org/C165064840,“wikidata”:https://www.wikidata.org/wiki/Q1321061“,”display_name“:”Matching(statistics)“,”level“:2,”score“:0.6363087},{”id“:”https://openalex.org/C25360446,“wikidata”:https://www.wikidata.org/wiki/Q1512771“,”display_name“:”线性规划松弛“,”level“:3,”score“:0.6130556},{”id“:”https://openalex.org/C77553402,“wikidata”:https://www.wikidata.org/wiki/Q13222579“,”display_name“:”上下限“,”level“:2,”score“:0.43857408},{”id“:”https://openalex.org/C2776029896,“wikidata”:https://www.wikidata.org/wiki/Q3935810“,”display_name“:”放松(心理学)“,”等级“:2,”分数“:0.412095},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.38077447},{”id“:”https://openalex.org/C41045048,“wikidata”:https://www.wikidata.org/wiki/Q202843“,”display_name“:”线性规划“,”level“:2,”score“:0.3576433},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.30324396},{”id“:”https://openalex.org/C105795698,“wikidata”:https://www.wikidata.org/wiki/Q12483“,”display_name“:”Statistics“,”level“:1,”score“:0.10398054},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.0839929},{”id“:”https://openalex.org/C15744967,“wikidata”:https://www.wikidata.org/wiki/Q9418(网址:https://www.wikidata.org/wiki/Q9418)“,”display_name“:”心理学“,”等级“:0,”分数“:0.0},{”id“:”https://openalex.org/C77805123,“wikidata”:https://www.wikidata.org/wiki/Q161272“,”display_name“:”社会心理学“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1287/moor.2013.0608“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S55826652“,”display_name“:”运筹学数学“,”issn_l“:”0364-765X“,”isn“:[”0364~765X“,“1526-5471”],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310315699“,”“host_organization_name”:“运筹学与管理科学研究所”,“host_ordanization_lineage”:[“https://openalex.org/P4310315699“],”host_organization_lineage_names“:[”运筹学与管理科学研究所“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:nully,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[{“id”:”https://metadata.un.org/sdg/1“,”display_name“:”无贫困“,”score“:0.41}],”grants“:[],”datasets“:【】,”versions“:【],”referenced_works_count“:21,”referrenced_works“:[”https://openalex.org/W1582969422","https://openalex.org/W1714357736","https://openalex.org/W1983002996","https://openalex.org/W1992428442","https://openalex.org/W1993298089网址","https://openalex.org/W2014294736","https://openalex.org/W2020163691","https://openalex.org/W2021659530","https://openalex.org/W2032495288","https://openalex.org/W2052855790","https://openalex.org/W2063836932","https://openalex.org/W2068748054","https://openalex.org/W2136400551","https://openalex.org/W2327315803","https://openalex.org/W2399100674","https://openalex.org/W2747774057","https://openalex.org/W2953010396","https://openalex.org/W2988480584","https://openalex.org/W4229642423","https://openalex.org/W4246185962","https://openalex.org/W4327970398“],”related_works“:[”https://openalex.org/W4286901599","https://openalex.org/W3207412727","https://openalex.org/W3183820686","https://openalex.org/W2515987778","https://openalex.org/W2185409389","https://openalex.org/W2184834902","https://openalex.org/W2183435071","https://openalex.org/W2109445739","https://openalex.org/W1990400455","https://openalex.org/W1969256273“],”ngrams_url“:”https://api.openalex.org/works/W1990900182/ngrams网站“,”“abstract_inverted_index”:{“确定”:[0],“the”:[1,6,13,30,78,83,86,90,95106110113137140],“precise”:[2],“integrity”:[3],“gap”:[4],“for”:[5],“subtour”:[7,58,91],“linear”:[8],“programming”:[9],“(LP)”:[10],“relaxion”:[11],“of”:[12,33,85115139],“traveling”:[14],“:[15],”问题“:[16],”是“:[17,97],”a“:[18116],”重要“:[19],“open”:[20],“question”:[21],“with”:[22],“little”:-23],“progress”:[24],“made”:[25],“in”:[26,29],“terty”:[27],“years”:[28],“general”:[31],“case”:[32111],“symmetrical”:[34],“costs”:[35],“that”:[36,72112127],“obile”:[37],“triangle”:[38],“不等式”:[39],“Boyd“:[40],”和“:[41,52],”卡尔“:[42,45],”博伊德“:[43],”S“:[44],”R“:[46],”(2011)“:[47],“查找”:[48],“低”:[49],“成本”:[50132138],“TSP”:[51],“2-匹配”:[53,88118130],“解决方案”:[54],“使用”:[55],“确定”:[56],“半整数”:[57],“顶点”:[59],“离散”:[60],“最佳”:[61],“8:525\u2013539。”:[62],“先前”:[63],“版本”:[64],“访问”:[65],“六月“:[66],“27,”:[67],“2011,”:【68】,“网址:http://www.site.uottawa.ca/~sylvia/recentpapers/halftri.pdf“:[69],”.]“:[70],“观察”:[71],“我们”:[73104123],“做”:[74],“不”:[75],“偶数”:[76],“知道”:[77],“最坏情况”:[79],“上限”:[80],“界限”:[81],“on”:[82],“比率”:[84,96],“最佳”:[87129],“to”:[89],“LP;“:[92],“他们”:[93],“猜想”:[94],“at”:[98133],“most”:[99134],“10/9.”:[100],“In”:[10109],“this”:[102],“论文”:[103],“证明”:[105126],“Boyd-Carr”:[107],“猜测”。“:[108],”支持“:[114],”分数“:[117141],”有“:[119131],”否“:[120],”切割“:[121],”边缘“:[122],”可以“:[124],”进一步“:[125],”an“:[128],”10/9“:[135],”次数“:[136],”2-匹配。“:[142]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W1990900182”,“counts_by_year”:[{“year”:2024,“cited_by_count”:1},{“year”:2023,“cited_by_count”:2},{“year”:2022,“cited_by_count”:3},{“year”:2021,“cited_by_count”:6},{“year”:2020,“cited_by_count”:3},{“year”:2019,“cited_by_count”:3},{“year”:2018,“cited_by_count”:1},{“year”:2017,“cited_by_count”by_count“:3},{”年份“:2014,”引用by_count“:1}],”更新日期“:”2024-06-21T01:05:37.586051“,”创建日期“:”2016-06-24“}