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Optimal number of units for a parallel system

Published online by Cambridge University Press:  14 July 2016

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

This paper considers a problem of determining the optimal number of units for a parallel redundant system. The optimal number N∗ to minimize the expected cost is given by a unique solution of equations. When the system is replaced before failure at time T, the optimal N∗ and T∗ are discussed, and a computing procedure for obtaining these values is specified.

Keywords

PARALLEL SYSTEMNUMBER OF UNITSEXPECTED COSTREPLACEMENT TIMEOPTIMIZATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 21 , Issue 2 , June 1984 , pp. 431 - 436
Copyright
Copyright © Applied Probability Trust 1984 

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References

[1] Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
[2] Nakagawa, T. (1979) Replacement problem of a parallel system in random environment. J. Appl. Prob. 16, 203–205.Google Scholar
[3] Råde, L. (1976) Reliability systems in random environment. J. Appl. Prob. 13, 407–410.Google Scholar