mk:eidwt11
Summary
Fuzzy Approaches to Proportional Fairness. Mario Köppen, Kaori Yoshida and Masato Tsuru. In Emerging Intelligent Data and Web Technologies (EIDWT), 2011 International Conference on, pages 72-77, Tirana, Albania, September 2011.
Abstract
Proportional fairness has been shown to maximize the aggregate utility of rate control for elastic traffic in a resource sharing communication network, and has been applied to a broad range of resource allocation problems. For a refined analysis, however, the representation of proportional fairness as a relation between vectors with positive components will often not provide the level of detail that is needed. Therefore, we study the representation as a fuzzy relation, and propose several ways to specify a measure function to allocate a degree of (proportional) relatedness. The approaches are based on combinatorial aspects, especially size and number of related subvectors, and geometric aspects, especially the minimum effort to change a vector to become related. A case study demonstrates that the introduced fuzzy fairness relations can be used to numerically evaluate the suitability of the maxmin fair state to represent the proportional fair state in a resource sharing network problem with maximum link capacities.
Bibtex entry
@INPROCEEDINGS { mk:eidwt11,
ABSTRACT = { Proportional fairness has been shown to maximize the aggregate utility of rate control for elastic traffic in a resource sharing communication network, and has been applied to a broad range of resource allocation problems. For a refined analysis, however, the representation of proportional fairness as a relation between vectors with positive components will often not provide the level of detail that is needed. Therefore, we study the representation as a fuzzy relation, and propose several ways to specify a measure function to allocate a degree of (proportional) relatedness. The approaches are based on combinatorial aspects, especially size and number of related subvectors, and geometric aspects, especially the minimum effort to change a vector to become related. A case study demonstrates that the introduced fuzzy fairness relations can be used to numerically evaluate the suitability of the maxmin fair state to represent the proportional fair state in a resource sharing network problem with maximum link capacities. },
ADDRESS = { Tirana, Albania },
AUTHOR = { Mario Köppen and Kaori Yoshida and Masato Tsuru },
BOOKTITLE = { Emerging Intelligent Data and Web Technologies (EIDWT), 2011 International Conference on },
ADDED = { 2011-07-05 22:45:49 +0900 },
MODIFIED = { 2011-12-14 14:09:40 +0900 },
MONTH = { September },
PAGES = { 72-77 },
PDF = { eidwt11.pdf },
TITLE = { Fuzzy Approaches to Proportional Fairness },
YEAR = { 2011 },
}