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Optimal Age and Block Replacement for a General Maintenance Model

Published online by Cambridge University Press:  27 July 2009

C. S. Chen  and
Thomas H. Savits
C. S. Chen
Affiliation:
Department of Mathematics and Statistics University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Thomas H. Savits
Affiliation:
Department of Mathematics and Statistics University of Pittsburgh, Pittsburgh, Pennsylvania 15260
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Abstract

We continue the study of our general cost structure for a maintained system. Here we focus on the optimization questions for an age or block policy. The notion of a marginal cost function is rigorously formulated and its utility investigated. Various applications are considered, including a new model in which minimal repairs are performed as long as the total accumulated repair costs do not exceed a fixed amount.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 6 , Issue 1 , January 1992 , pp. 81 - 98
Copyright
Copyright © Cambridge University Press 1992

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References

Berg, M. (1980). A marginal cost analysis for preventive replacement policies. European Journal of Operations Research 4: 135–142.CrossRefGoogle Scholar
Berg, M., Bienvenu, M., & Cleroux, R. (1986). Age replacement policy with age-dependent minimal repair. Infor 24: 26–32.Google Scholar
Berg, M. & Cleroux, R. (1982). A marginal cost analysis for an age replacement policy with minimal repair. Infor 20: 258–263.Google Scholar
Block, H.W., Borges, W.S., & Savits, T.H. (1988). A general age replacement model with minimal repair. Naval Research Logistics 35: 365–372.3.0.CO;2-#>CrossRefGoogle Scholar
Chen, C.S. (1989). On the age and block replacement policies with or without discounting. Ph.D. thesis, Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA.Google Scholar
Chen, C.S. & Savits, T.H. (1988). A discounted cost relationship. Journal of Multivariate Analysis 27: 105–115.CrossRefGoogle Scholar
Feller, W. (1966). An introduction to probability theory and its applications, Vol. II. New York: Wiley.Google Scholar
Henderson, J.M. & Quandt, R.E. (1958). Microeconomic theory: A mathemaUcal approach. New York: McGraw-Hill.Google Scholar
Pun, P. & Singh, H. (1986). Optimum replacement of a system subject to shocks: A mathematical lemma. Operations Research 34: 782–789.Google Scholar
Savits, T.H. (1988). A cost relationship between age and block replacement policies. Journal of Applied Probability 25: 789–796.Google Scholar