Abstract
The present paper deals with some simple finite population queueing systems which are used to describe the cold redundancy systems. The systems are assumed to be in a complete failure state as soon as all of the units are failed. For such models the time dependent state probabilities and reliability function are analyzed. It is shown that the reliability function have a weak sensitivity to the shape of the life and repair time distributions and this sensitivity vanishes upon the probability of the complete failure state decreases.
This work was funded by the COMET K2 Center ”Austrian Center of Competence in Mechatronics (ACCM)”, funded by the Austrian federal government, the federal state Upper Austria, and the scientific partners of the ACCM.
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Efrosinin, D., Rykov, V. (2014). Sensitivity Analysis of Reliability Characteristics to the Shape of the Life and Repair Time Distributions. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds) Information Technologies and Mathematical Modelling. ITMM 2014. Communications in Computer and Information Science, vol 487. Springer, Cham. https://doi.org/10.1007/978-3-319-13671-4_13
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DOI: https://doi.org/10.1007/978-3-319-13671-4_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13670-7
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