Journal of Applied Probability

On the deterioration of nonrepairable multistate strongly coherent systems

Bent Natvig

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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.

Article information

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

Dates
First available in Project Euclid: 25 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jap/1395771414

Digital Object Identifier
doi:10.1239/jap/1395771414

Mathematical Reviews number (MathSciNet)
MR3189442

Zentralblatt MATH identifier
06295042

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

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

Citation

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. https://projecteuclid.org/euclid.jap/1395771414


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