Abstract
The analysis of fault-tolerant multiprocessor systems that use concurrent error detection (CED) schemes is much more difficult than the analysis of conventional fault-tolerant architectures. Various analytical techniques have been proposed to evaluate CED schemes deterministically. However these approaches are based on the worst-case assumptions related to the failure of system components. Often the evaluation results are not good measures for comparing the fault tolerance capabilities of a system. In this paper we develop a probabilistic approach to evaluate and compare fault-tolerant multiprocessor systems. Various probabilities associated with CED schemes are identified and used in the framework of the matrix-based model which we had proposed previously. Based on these probabilistic matrices we analytically derive estimates for the fault tolerance capabilities of various systems.
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