Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-20T01:35:12.071Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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