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March 2014 On the deterioration of nonrepairable multistate strongly coherent systems
Bent Natvig
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J. Appl. Probab. 51(1): 69-81 (March 2014). DOI: 10.1239/jap/1395771414

Abstract

In the present paper, results given in Natvig (1990) are generalized to a multistate, strongly coherent, nonrepairable system of independent components by considering the reduction in remaining system time above a certain state due to a jump downwards of a component. This reduction also equals the increase in remaining system time above a certain state due to a minimal repair of the component at its time of jump downwards. The expected value of the sum of such reductions/increases for the different possible jumps downwards of the component is the building block of the Natvig measure of the importance of the component in the multistate case. Hence, the whole distributions of these reductions/increases are arrived at, not only the expectations, throwing more light on the consequences for the system of the deterioration of the components.

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Bent Natvig. "On the deterioration of nonrepairable multistate strongly coherent systems." J. Appl. Probab. 51 (1) 69 - 81, March 2014. https://doi.org/10.1239/jap/1395771414

Information

Published: March 2014
First available in Project Euclid: 25 March 2014

zbMATH: 06295042
MathSciNet: MR3189442
Digital Object Identifier: 10.1239/jap/1395771414

Subjects:
Primary: 62N05, 90B25

Rights: Copyright © 2014 Applied Probability Trust

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Vol.51 • No. 1 • March 2014
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