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On Reliability Modeling of Closed Fault-Tolerant Computer Systems
April 1990 (vol. 39 no. 4)
pp. 571-575
ASCII Text
x 
 
M. Balakrishnan, C.S. Raghavendra, "On Reliability Modeling of Closed Fault-Tolerant Computer Systems," IEEE Transactions on Computers, vol. 39, no. 4, pp. 571-575, April, 1990.
 
 
BibTex
x
 
@article{ 10.1109/12.54852,
author = {M. Balakrishnan and C.S. Raghavendra},
title = {On Reliability Modeling of Closed Fault-Tolerant Computer Systems},
journal ={IEEE Transactions on Computers},
volume = {39},
number = {4},
issn = {0018-9340},
year = {1990},
pages = {571-575},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.54852},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - On Reliability Modeling of Closed Fault-Tolerant Computer Systems
IS - 4
SN - 0018-9340
SP571
EP575
EPD - 571-575
A1 - M. Balakrishnan,
A1 - C.S. Raghavendra,
PY - 1990
KW - reliability modeling; closed fault-tolerant computer systems; continuous-time Markov model; ARIES model; eigenvalues; Lagrange-Sylvester interpolation formula; rate matrix; fault tolerant computing; Markov processes; modelling.
VL - 39
JA - IEEE Transactions on Computers
ER -
 

It is observed that a large number of closed fault-tolerant systems modeled by a continuous-time Markov model referred to as the ARIES model have repeated eigenvalues. It is proven that the rate matrix representing the system is diagonalizable for every closed fault tolerant system modeled by ARIES. Consequently, the Lagrange-Sylvester interpolation formula is applicable to all closed fault-tolerant systems which ARIES models. Since the proof guarantees that the rate matrix is diagonalizable, general methods for solving arbitrary Markov chains can be tailored to solve the ARIES model for the closed systems directly.

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Index Terms:
reliability modeling; closed fault-tolerant computer systems; continuous-time Markov model; ARIES model; eigenvalues; Lagrange-Sylvester interpolation formula; rate matrix; fault tolerant computing; Markov processes; modelling.
Citation:
M. Balakrishnan, C.S. Raghavendra, "On Reliability Modeling of Closed Fault-Tolerant Computer Systems," IEEE Transactions on Computers, vol. 39, no. 4, pp. 571-575, Apr. 1990, doi:10.1109/12.54852
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