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Mean life of series and parallel systems

Published online by Cambridge University Press:  14 July 2016

Albert W. Marshall  and
Frank Proschan
Albert W. Marshall
Affiliation:
Boeing Scientific Research Laboratories, Seattle, Washington
Frank Proschan
Affiliation:
Boeing Scientific Research Laboratories, Seattle, Washington
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Abstract

Some inequalities are obtained which yield bounds for the mean life of series and of parallel systems in the case where component life distributions have properties such as a monotone failure rate, monotone failure rate average, or decreasing density. These bounds are based on comparisons with systems of exponential or uniform components. Similar comparisons are obtained when components have Weibull or Gamma distributions with different shape parameters. Some inequalities are also obtained for convolutions of life distributions helpful in the study of replacement policies.

Type
Research Papers
Information
Journal of Applied Probability , Volume 7 , Issue 1 , April 1970 , pp. 165 - 174
Copyright
Copyright © Applied Probability Trust 

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