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Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In this paper, we develop a new approach to construction of simple (5, 3) MDS codes. With judiciously block-designed generator matrices, we show that the proposed MDS codes have a minimum stripe size α = 2 and can be constructed over a small (Galois)...
In data storage systems, data are typically stored in redundant storage nodes to ensure storage reliability. When storage nodes fail, with the help of the redundant nodes, the lost data can be restored in new storage nodes. Such a regeneration process may be aborted, since storage nodes may fail during the process. Therefore, reducing the time of regeneration process is a well-known challenge to improve...
This paper devotes to studying reliability of a bicycle repairable model with step-by-step maintenance policy by C0-semigroup theory. Firstly, we get that the system has a unique nonnegative time-dependent solution. Moreover, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfunction corresponding to the simple eigenvalue 0...
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