Details

Autor(en) / Beteiligte

• Pattipati, K.R.
• Li, Y.
• Blom, H.A.P.

Titel

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

Ist Teil von

• IEEE transactions on computers, 1993-03, Vol.42 (3), p.312-326

Ort / Verlag

New York, NY: IEEE

Erscheinungsjahr

1993

Quelle

IEEE Electronic Library (IEL)

Beschreibungen/Notizen

• 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.< >