A stochastic analysis of resource sharing with logarithmic weights

A Stochastic Analysis of Resource Sharing with Logarithmic Weights

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has x requests to transmit, then it receives a fraction of the capacity proportional to log(1+x), the logarithm of its current load. A detailed fluid scaling analysis of such a network with two nodes is presented. It is shown that the interaction of several ti...

On the Fluid Limits of a Resource Sharing Algorithm with Logarithmic Weights

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has x requests to transmit, then it receives a fraction of the capacity proportional to log(1+x), the logarithm of its current load. A fluid scaling analysis of such a network is presented. It is shown that the interaction of several time scales plays an impor...

A Scaling Analysis of a Star Network with Logarithmic Weights

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has x requests to transmit, then it receives a fraction of the capacity proportional to log(1+L), the logarithm of its current load L. A stochastic model of such an algorithm is investigated in the case of the star network, in which J nodes can transmit simult...

Logarithmic Conformal Field Theories with Continuous Weights

We study the logarithmic conformal field theories in which conformal weights are continuous subset of real numbers. A general relation between the correlators consisting of logarithmic fields and those consisting of ordinary conformal fields is investigated. As an example the correlators of the Coulomb-gas model are explicitly studied.

Stochastic Comparison for Resource Sharing Models