Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T15:52:46.607Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparisons of replacement policies

Published online by Cambridge University Press:  14 July 2016

Naftali A. Langberg
Naftali A. Langberg*
Affiliation:
University of Haifa
*
∗Postal address: Department of Statistics, University of Haifa, Mount Carmel 31999, Israel.
Get access Rights & Permissions [Opens in a new window]

Abstract

For independent random lifelengths of the units in use stochastic comparisons of the number of failures and removal in [0,s] under age and block replacement policies are performed. A new concept of NBU (NWU) in sequence is introduced.

Keywords

AGE AND BLOCK REPLACEMENT POLICIESSTOCHASTIC ORDERINGREMOVALSFAILURESNBU (NWU) IN SEQUENCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 4 , December 1988 , pp. 780 - 788
Copyright
Copyright © Applied Probability Trust 1988 

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.)

Footnotes

Research partly carried out at the University of Pittsburgh, supported by grant no. AF OSR-0113.

References

Barlow, R. E. and Proschan, F. (1962) In Studies in Applied Probability and Management Science , Stanford University Press, 63–87.Google Scholar
Barlow, R. E. and Proschan, F. (1964) Comparisons of replacement policies and renewal theory implications. Ann. Math. Statist. 35, 577–589.Google Scholar
Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing. Holt, Reinhart and Winston, New York.Google Scholar
Berg, M. (1980) A marginal cost analysis for preventive replacement policies. European J. Operat. Res. 4, 135–142.Google Scholar
Berg, M. and Cleroux, R. (1982a) A marginal cost analysis for an age replacement policy with minimal repair. INFOR 20, 258–263.Google Scholar
Berg, M. and Cleroux, R. (1982b) The block replacement problem with minimal repair and random repair costs. J. Statist. Comput. Simulation 15, 1–7.Google Scholar
Block, H. W., Borges, W. S. and Savits, T. H. (1985) Age-dependent minimal repair. J. Appl. Prob. 22, 370–385.Google Scholar
Cleroux, R. and Hanscom, M. (1974) Age replacement with adjustment and depreciation costs and interest charges. Technometrics 16, 235–239.Google Scholar
Cleroux, R., Dubic, S. and Tilquin, C. (1979) The age replacement problem with minimal repair and random repair costs. Operat. Res. 27, 1158–1167.Google Scholar
Drenick, R. F. (1960) Mathematical aspects of the reliability problem. J. Soc. Indust. Appl. Math. 8, 125–149.Google Scholar
Flehinger, B. J. (1962) A general model for the reliability analysis of systems under various preventive maintenance policies. Ann. Math. Statist 33, 137–156.Google Scholar
Kamae, T., Krengel, U., and O'Brien, G. L. (1977) Stochastic inequalities on partially ordered spaces. Ann. Prob. 5, 899–912.Google Scholar
Weiss, G. (1956) On the theory of replacement machinery with a random failure time. Naval Res. Log. Quart. 3, 279–293.CrossRefGoogle Scholar
Welker, E. L. (1959) Relationships between equipment reliability, preventive maintenance policy, and operating costs. Proc. Fifth Nat. Symp. on Reliability and Quality Control , 270.Google Scholar