Abstract
Relative differentiation in distributed resource sharing can be implemented using heterogeneous linear controls with binary feedback and this method can provide efficient and weighted max–min fair resource allocations. We prove this using a discrete-time model of a single resource, shared among a number of users with heterogeneous Additive Increase Multiplicative Decrease (AIMD) controls. AIMD has been implemented in the congestion avoidance mechanism of Internet's Transmission Control Protocol (TCP) and beyond its simplicity it has been proved extremely efficient and robust. We show how AIMD can be parametrized in order to allow the scaling of user allocations according to a given set of weights. We also analyze the effects of different parameter choices on the performance and the oscillating behaviour of the system. Our analysis is supported by simulations and the results provide useful insights to the performance and the properties of distributed resource sharing.
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