Reliable diagnosis and repair in constant-degree multiprocessor systems

Abstract

The problem of diagnosis and repair has been studied under a probabilistic fault model that allows permanent or intermittent faults and perfect or imperfect spares. For all of these fault scenarios, it has been shown that correct diagnosis and repair can be achieved with high probability in a large class of constant-degree systems, including rings, grids, meshes, and tori. The total number of tests that must be conducted in the worst case in order to accomplish this diagnosis was shown to increase from O(n) in the case in which faults are permanent and spares are perfect to O(n log/sup 2/n) when faults are intermittent and spares are imperfect.<>