Several schedule and assignment tasks can be modeled as a bipartite graph matching optimization, aiming to retrieve an optimal set of pairs connecting elements from two distinct sets. In this paper we investigate how to compute a weighted bipartite graph matching on Graphics Processing Units (GPUs) inspired by its low cost and increasing parallel processing power. We propose a data-parallel approach to be computed using GPUs processing kernels based on The Auction Algorithm, and data structures that allow it to be applied to problems modeled over complete bipartite graphs and also over huge bipartite graphs with connections across the neighborhood systems from two sets of ID, 2D or 3D data grids.
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