Reliability of Erasure-Coded Storage Systems with Latent Errors

Abstract

Large-scale storage systems employ erasure-coding redundancy schemes to protect against device failures. The adverse effect of latent sector errors on the Mean Time to Data Loss (MTTDL) and the Expected Annual Fraction of Data Loss (EAFDL) reliability metrics is evaluated. A theoretical model capturing the effect of latent errors and device failures is developed, and closed-form expressions for the metrics of interest are derived. The MTTDL and EAFDL of erasure-coded systems are obtained analytically for (i) the entire range of bit error rates, (ii) the symmetric, clustered, and declustered data placement schemes, and (iii) arbitrary device failure and rebuild time distributions under network rebuild bandwidth constraints. For realistic values of sector error rates, the results obtained demonstrate that MTTDL degrades whereas, for moderate erasure codes, EAFDL remains practically unaffected. It is demonstrated that, in the range of typical sector error rates and for very powerful erasure codes, EAFDL degrades as well. It is also shown that the declustered data placement scheme offers superior reliability.