Abstract

Stochastic Reward Models (SRMs) are commonly used for evaluating combined performance and dependability of fault-tolerant systems. An SRM is composed of a stochastic process, describing the evolution of the system, and a superimposed reward structure, reflecting different performance levels of the system. Evaluating combined transient performance/dependability measures using SRMs leads either to differential or integral equations. This paper discusses the use of SRMs for modelling performance/dependability of fault-tolerant systems and proposes an approach for the numerical solution of integral equations which commonly arise. A bound for the error due to the numerical approximation is obtained. As an example, an n-unit parallel system is analysed numerically in transient state.

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