Journal of Applied Probability

On the deterioration of nonrepairable multistate strongly coherent systems

Bent Natvig

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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.

Article information

J. Appl. Probab., Volume 51, Number 1 (2014), 69-81.

First available in Project Euclid: 25 March 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62N05: Reliability and life testing [See also 90B25] 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]

Dynamic reliability Natvig importance of a system component multistate strongly coherent system nonrepairable system


Natvig, Bent. On the deterioration of nonrepairable multistate strongly coherent systems. J. Appl. Probab. 51 (2014), no. 1, 69--81. doi:10.1239/jap/1395771414.

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