Abstract
In this paper we derive new closed-form solutions for the reliability, performability and computational availability in the case of closed and homogeneous gracefully degrading processor arrays. Permanent, intermittent and transient faults are covered, taking into account their weight. In order to separately deal both with the fault/error handling and fault occurrence and repair processes, we use the behavioral decomposition technique. Both kinds of process are described by discrete-state, continuous-time homogeneous Markov models. Finally, we analyze the reliability and performance-reliability measures of a gracefully degrading processor array. The effect of transient faults is especially underlined. The results prove the usefulness of the proposed closed-form solutions for the design of this class of fault-tolerant computer systems.
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