Publication 2002 Issue No. 3 - March Abstract - Computationally Efficient and Numerically Stable Reliability Bounds for Repairable Fault-Tolerant Systems
Computationally Efficient and Numerically Stable Reliability Bounds for Repairable Fault-Tolerant Systems
March 2002 (vol. 51 no. 3)
pp. 254-268
 ASCII Text x J.A. Carrasco, "Computationally Efficient and Numerically Stable Reliability Bounds for Repairable Fault-Tolerant Systems," IEEE Transactions on Computers, vol. 51, no. 3, pp. 254-268, March, 2002.
 BibTex x @article{ 10.1109/12.990125,author = {J.A. Carrasco},title = {Computationally Efficient and Numerically Stable Reliability Bounds for Repairable Fault-Tolerant Systems},journal ={IEEE Transactions on Computers},volume = {51},number = {3},issn = {0018-9340},year = {2002},pages = {254-268},doi = {http://doi.ieeecomputersociety.org/10.1109/12.990125},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on ComputersTI - Computationally Efficient and Numerically Stable Reliability Bounds for Repairable Fault-Tolerant SystemsIS - 3SN - 0018-9340SP254EP268EPD - 254-268A1 - J.A. Carrasco, PY - 2002KW - fault-tolerant systemsKW - repairable systemsKW - reliabilityKW - continuous time Markov modelsKW - boundsKW - randomizationVL - 51JA - IEEE Transactions on ComputersER -

The transient analysis of large continuous time Markov reliability models of repairable fault-tolerant systems is computationally expensive due to model stiffness. In this paper, we develop and analyze a method to compute bounds for a measure defined on a particular, but quite wide, class of continuous time Markov models, encompassing both exact and bounding continuous time Markov reliability models of fault-tolerant systems. The method is numerically stable and computes the bounds with well-controlled and specifiable-in-advance error. Computational effort can be traded off with bounds accuracy. For a class of continuous time Markov models, class $\rm C^{\prime\prime}$, including typical failure/repair reliability models with exponential failure and repair time distributions and repair in every state with failed components, the method can yield reasonably tight bounds at a very small computational cost. The method builds upon a recently proposed numerical method for the transient analysis of continuous time Markov models called regenerative randomization.

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Index Terms:
fault-tolerant systems, repairable systems, reliability, continuous time Markov models, bounds, randomization
Citation:
J.A. Carrasco, "Computationally Efficient and Numerically Stable Reliability Bounds for Repairable Fault-Tolerant Systems," IEEE Transactions on Computers, vol. 51, no. 3, pp. 254-268, March 2002, doi:10.1109/12.990125