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A unified framework for the performability evaluation of fault-tolerant computer systems

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3 Author(s)
Pattipati, K.R. ; Dept. of Electr. & Syst. Eng., Univ. of Connecticut Storrs, CT, USA ; Li, Y. ; Blom, H.A.P.

The problem of evaluating the performability density and distribution of degradable computer systems is considered. A generalized model of performability is considered, wherein the dynamics of configuration modes are modeled as a nonhomogeneous Markov process, and the performance rate in each configuration mode can be time dependent. The key to the development of a unifying mathematical framework is the introduction of two related performability processes: the forward performability process over the interval [0,t], and the performability-to-go process over the interval [t,T], where T is the mission time. Stochastic differential equations techniques show that the joint density of the forward performability and configuration states satisfies a linear, hyperbolic partial differential equation (PDE) with time-dependent coefficients that runs forward in time, while the performability-to-go process satisfies an adjoint PDE running reverse in time. A numerical method for solving the PDEs is presented and is illustrated with examples

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Computers, IEEE Transactions on  (Volume:42 ,  Issue: 3 )