{"title":"旅行比武问题的一个新下界","authors":"S. Urrutia, C. Ribeiro, Rafael A. Melo","doi":"10.1109/SCIS.2007.367664","DOIUrl":null,"url":null,"abstract":"Optimization in sports is a field of increasing interest. The traveling tournament problem abstracts certain characteristics of sports scheduling problems. We propose a new method for determining a lower bound to this problem. The new bound improves upon the previously best known lower bound. Numerical results on benchmark instances showed reductions as large as 38.6% in the gaps between lower and upper bounds.","PeriodicalId":184726,"journal":{"name":"2007 IEEE Symposium on Computational Intelligence in Scheduling","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":"{\"title\":\"A New Lower Bound to the Traveling Tournament Problem\",\"authors\":\"S. Urrutia, C. Ribeiro, Rafael A. Melo\",\"doi\":\"10.1109/SCIS.2007.367664\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Optimization in sports is a field of increasing interest. The traveling tournament problem abstracts certain characteristics of sports scheduling problems. We propose a new method for determining a lower bound to this problem. The new bound improves upon the previously best known lower bound. Numerical results on benchmark instances showed reductions as large as 38.6% in the gaps between lower and upper bounds.\",\"PeriodicalId\":184726,\"journal\":{\"name\":\"2007 IEEE Symposium on Computational Intelligence in Scheduling\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"20\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 IEEE Symposium on Computational Intelligence in Scheduling\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCIS.2007.367664\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE Symposium on Computational Intelligence in Scheduling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCIS.2007.367664","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Lower Bound to the Traveling Tournament Problem
Optimization in sports is a field of increasing interest. The traveling tournament problem abstracts certain characteristics of sports scheduling problems. We propose a new method for determining a lower bound to this problem. The new bound improves upon the previously best known lower bound. Numerical results on benchmark instances showed reductions as large as 38.6% in the gaps between lower and upper bounds.