Open Access
December, 1960 The Life Distribution and Reliability of a System with Spare Components
Donald F. Morrison, H. A. David
Ann. Math. Statist. 31(4): 1084-1094 (December, 1960). DOI: 10.1214/aoms/1177705680


The distribution of the operating life of a series system of like elements supplied with a set of spare components has been obtained for the situation when failed elements are in turn replaced by spares. This distribution has been evaluated for some common types of component life densities, and tables of expected total system life have been constructed. These expectations have been compared with those of systems with no spares as a measure of the efficacy of the additional spare components. The reliability of systems with spares has also been studied.


Download Citation

Donald F. Morrison. H. A. David. "The Life Distribution and Reliability of a System with Spare Components." Ann. Math. Statist. 31 (4) 1084 - 1094, December, 1960.


Published: December, 1960
First available in Project Euclid: 27 April 2007

zbMATH: 0113.34602
MathSciNet: MR121938
Digital Object Identifier: 10.1214/aoms/1177705680

Rights: Copyright © 1960 Institute of Mathematical Statistics

Vol.31 • No. 4 • December, 1960
Back to Top