Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-29T05:49:45.420Z Has data issue: false hasContentIssue false
  • English
  • Français

Multivariate age replacement

Part of: Special processes Survival analysis and censored data Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Nader Ebrahimi
Nader Ebrahimi*
Affiliation:
Northern Illinois University
*
∗Postal address: Division of Statistics, Northern Illinois University, De Kalb, Illinois, USA.
Get access Rights & Permissions [Opens in a new window]

Abstract

Age replacement policy is commonly used in order to reduce the number of in-service failures. In this paper we define a multivariate version of this policy and develop some of its desirable properties. We also obtain an optimal age replacement policy.

Keywords

AGE REPLACEMENT POLICIESRELIABILITY THEORYCOUNTING PROCESSESRENEWAL PROCESSES

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.) 62N05: Reliability and life testing
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 4 , December 1997 , pp. 1032 - 1040
Copyright
Copyright © Applied Probability Trust 1997 

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

Barlow, R. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing. To Begin With, Silver Spring, MD.Google Scholar
Cleroux, R., Dubuc, S. and Tilquin, C. (1979) The age replacement problem with minimal repair and random repair cost. Operat. Res. 27, 1158–1167.Google Scholar
Gumbel, E. J. (1961) Multivariate exponential distributions. Bull. Int. Statist. Inst. 39, 469–475.Google Scholar
Lam, Y. (1988) A note on the optimal replacement problem. Adv. Appl. Prob. 20, 479–482.Google Scholar
Marshall, A. W. and Proschan, F. (1972) Classes of distributions applicable in replacement, with renewal theory implications. In Proc. 6th Berkeley Symp. on Mathematical Statistics and Probability. Vol. I. pp. 395–415.Google Scholar
Shaked, M. and Zhu, H. (1991) Some results on block replacement policies and renewal theory. Technical report. University of Arizona.Google Scholar