Kumar and Billinton have presented a new technique for obtaining the steady-state probabilities from a flow graph based on Markov model. By examining the graph and choosing suitable input and output nodes, the steady-state probabilities can be obtained directly by using the flow graph. In this paper this graphical technique is applied for a k-out-of-n: G repairable system. Consequently a new derivation way of the formulae for the steady-state availability and MTBF is obtained.
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Ikuo ARIZONO, Akihiro KANAGAWA, "Graphical Analysis for k-out-of-n: G Repairable System and Its Application" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 9, pp. 1560-1563, September 1994, doi: .
Abstract: Kumar and Billinton have presented a new technique for obtaining the steady-state probabilities from a flow graph based on Markov model. By examining the graph and choosing suitable input and output nodes, the steady-state probabilities can be obtained directly by using the flow graph. In this paper this graphical technique is applied for a k-out-of-n: G repairable system. Consequently a new derivation way of the formulae for the steady-state availability and MTBF is obtained.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_9_1560/_p
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@ARTICLE{e77-a_9_1560,
author={Ikuo ARIZONO, Akihiro KANAGAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Graphical Analysis for k-out-of-n: G Repairable System and Its Application},
year={1994},
volume={E77-A},
number={9},
pages={1560-1563},
abstract={Kumar and Billinton have presented a new technique for obtaining the steady-state probabilities from a flow graph based on Markov model. By examining the graph and choosing suitable input and output nodes, the steady-state probabilities can be obtained directly by using the flow graph. In this paper this graphical technique is applied for a k-out-of-n: G repairable system. Consequently a new derivation way of the formulae for the steady-state availability and MTBF is obtained.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Graphical Analysis for k-out-of-n: G Repairable System and Its Application
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1560
EP - 1563
AU - Ikuo ARIZONO
AU - Akihiro KANAGAWA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1994
AB - Kumar and Billinton have presented a new technique for obtaining the steady-state probabilities from a flow graph based on Markov model. By examining the graph and choosing suitable input and output nodes, the steady-state probabilities can be obtained directly by using the flow graph. In this paper this graphical technique is applied for a k-out-of-n: G repairable system. Consequently a new derivation way of the formulae for the steady-state availability and MTBF is obtained.
ER -