{"title":"拆解比例公平关系","authors":"M. Köppen, Kaori Yoshida, M. Tsuru","doi":"10.1109/INCoS.2011.159","DOIUrl":null,"url":null,"abstract":"Typical problems related to the application of proportional fairness are sparsity of the relation with increasing dimension, and the operator confusion problem. Here, we propose a new fairness relation derived from proportional fairness to handle these problems. The design principle behind this relation is relational unsorting: if there is a relation x(R)y between elements x and y from n-dimensional Euclidian space, the unsorted relation x(uR)y holds whenever there is a permutation x* of the elements of x for which x*(R)y holds. We apply this concept to proportional fairness, study the properties of the new relation, contrast with another relation based on over-sorting proportional fairness, and provide simulations to demonstrate the ease of ordered proportional fairness for meta-heuristic search.","PeriodicalId":235301,"journal":{"name":"2011 Third International Conference on Intelligent Networking and Collaborative Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Unsorting the Proportional Fairness Relation\",\"authors\":\"M. Köppen, Kaori Yoshida, M. Tsuru\",\"doi\":\"10.1109/INCoS.2011.159\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Typical problems related to the application of proportional fairness are sparsity of the relation with increasing dimension, and the operator confusion problem. Here, we propose a new fairness relation derived from proportional fairness to handle these problems. The design principle behind this relation is relational unsorting: if there is a relation x(R)y between elements x and y from n-dimensional Euclidian space, the unsorted relation x(uR)y holds whenever there is a permutation x* of the elements of x for which x*(R)y holds. We apply this concept to proportional fairness, study the properties of the new relation, contrast with another relation based on over-sorting proportional fairness, and provide simulations to demonstrate the ease of ordered proportional fairness for meta-heuristic search.\",\"PeriodicalId\":235301,\"journal\":{\"name\":\"2011 Third International Conference on Intelligent Networking and Collaborative Systems\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Third International Conference on Intelligent Networking and Collaborative Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INCoS.2011.159\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Third International Conference on Intelligent Networking and Collaborative Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INCoS.2011.159","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Typical problems related to the application of proportional fairness are sparsity of the relation with increasing dimension, and the operator confusion problem. Here, we propose a new fairness relation derived from proportional fairness to handle these problems. The design principle behind this relation is relational unsorting: if there is a relation x(R)y between elements x and y from n-dimensional Euclidian space, the unsorted relation x(uR)y holds whenever there is a permutation x* of the elements of x for which x*(R)y holds. We apply this concept to proportional fairness, study the properties of the new relation, contrast with another relation based on over-sorting proportional fairness, and provide simulations to demonstrate the ease of ordered proportional fairness for meta-heuristic search.