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Randomised Load Balancing For Networks

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If you have a question about this talk, please contact David Greaves.

We consider the problem of balancing load items (tokens) on networks. Starting with an arbitrary load distribution, we allow in each round nodes to exchange tokens with their neighbours. The goal is to obtain a load distribution where all nodes have the same number of tokens. For the continuous case where tokens are arbitrarily divisible, most load balancing schemes correspond to Markov chains whose convergence is fairly well-understood.

However, in many applications load items cannot be divided arbitrarily often and we need to deal with the discrete case where load is composed of indivisible tokens. In this talk we investigate a natural randomised protocol and demonstrate that there is almost no difference between the discrete and continuous case. Specifically we show that for any regular network all nodes have the same number of tokens up to an additive constant in the same number of rounds as in the continuous case.

This talk is part of the Computer Laboratory Wednesday Seminars series.

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