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Replacement problem of a parallel system in random environment

Published online by Cambridge University Press:  14 July 2016

T. Nakagawa
T. Nakagawa*
Affiliation:
Meijō University
*
∗Postal address; Meijō University, Department of Mathematics, Tenpaku-cho, Tenpaku-ku, Nagoya 468, Japan.
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Abstract

Råde considered a parallel system with n components in a random environment. The shocks cause the components to fail with certain probabilities. This paper considers the replacement policy for the above system in which it is exchanged before failure if the total number of failed components is more than k, and it is replaced if all of n components have failed. An optimum number of k which will minimize the expected cost is obtained. A numerical example is finally presented.

Keywords

PARALLEL SYSTEMRANDOM ENVIRONMENTEXPECTED COSTREPLACEMENT PROBLEMOPTIMIZATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 16 , Issue 1 , March 1979 , pp. 203 - 205
Copyright
Copyright © Applied Probability Trust 1979 

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References

[1] Nakagawa, T. (1976) On a replacement problem of a cumulative damage model. Opns Res. Quart. 27, 895–900.CrossRefGoogle Scholar
[2] Råde, L. (1976) Reliability systems in random environment. J. Appl. Prob. 13, 407–410.CrossRefGoogle Scholar