Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-18T05:34:12.276Z Has data issue: false hasContentIssue false
  • English
  • Français

Maximization of a survival probability and its application

Part of: Special processes Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

Jie Mi
Jie Mi*
Affiliation:
Florida International University
Get access Rights & Permissions [Opens in a new window]

Abstract

When a mission is assigned, it often is the case that the component used to perform the task is required to work properly during the period of the mission time. In other words, the probability of the event that this component does not fail within the allowable mission time should be as large as possible. This problem is considered for the case when the lifetime of a component has a bathtub-shaped failure rate function, and it is found that burn-in procedure is beneficial. An application of this result to the problem of minimizing the mean number of failures in a given period of mission time is also considered.

Keywords

BURN-INBATHTUB-SHAPED FAILURE RATECOMPLETE REPAIRRENEWAL PROCESSOPTIMAL BURN-IN TIME

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62N05: Reliability and life testing
Type
Research Article
Information
Journal of Applied Probability , Volume 31 , Issue 4 , December 1994 , pp. 1026 - 1033
Copyright
Copyright © Applied Probability Trust 1994 

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

Block, H. W., Borges, W. S. and Savits, T. H. (1985) Age-dependent minimal repair. J. Appl. Prob. 22, 765–772.CrossRefGoogle Scholar
Jensen, F. and Petersen, N. E. (1982) Burn-in. Wiley, New York.Google Scholar
Kuo, W. and Kuo, Y. (1983) Facing the headaches of early failures: a state-of-the-art review of burn-in decision. Proc. IEEE 71, 1257–1266.Google Scholar
Stoyan, D. (1983) Comparison Methods for Queues and Other Stochastic Models. Wiley, New York.Google Scholar