Abstract
We consider the problem of configuring a mirrored storage system in a way which optimizes the concurrency of reading data. The problem is translated into the problem of constructing families of regular graphs with few cycles of any given size. We compute a lower bound on the number of possible cycle. We then show two constructions, one explicit coming from number theory and the other randomized which achieve the bound and hence are optimal.
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Bachmat, E. (2014). Mirrored Configurations. In: Mathematical Adventures in Performance Analysis. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-09513-4_4
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DOI: https://doi.org/10.1007/978-3-319-09513-4_4
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