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Full-Text Articles in Applied Mathematics
A Modified Resource Distribution Fairness Measure, Zhenmin Chen
A Modified Resource Distribution Fairness Measure, Zhenmin Chen
Department of Mathematics and Statistics
An important issue of resource distribution is the fairness of the distribution. For example, computer network management wishes to distribute network resource fairly to its users. To describe the fairness of the resource distribution, a quantitative fairness score function was proposed in 1984 by Jain et al. The purpose of this paper is to propose a modified network sharing fairness function so that the users can be treated differently according to their priority levels. The mathematical properties are discussed. The proposed fairness score function keeps all the nice properties of and provides better performance when the network users have different …
Fibrations And Contact Structures, Hamidou Dathe, Philippe Rukimbira
Fibrations And Contact Structures, Hamidou Dathe, Philippe Rukimbira
Department of Mathematics and Statistics
We prove that a closed 3-dimensional manifold is a torus bundle over the circle if and only if it carries a closed nonsingular 1-form which is linearly deformable into contact forms.