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Distributed Resource Allocation on Dynamic Networks in Quadratic Time

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arxiv 1507.07850 v4 pith:KKOZPCUR submitted 2015-07-28 math.OC

Distributed Resource Allocation on Dynamic Networks in Quadratic Time

classification math.OC
keywords resourceamountdistributednodesproblemtimeallocatedallocating
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We consider the problem of allocating a fixed amount of resource among nodes in a network when each node suffers a cost which is a convex function of the amount of resource allocated to it. We propose a new deterministic and distributed protocol for this problem. Our main result is that the associated convergence time for the global objective scales quadratically in the number of nodes on any sequence of time-varying undirected graphs satisfying a long-term connectivity condition.

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