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Optimal group preventive maintenance of a system with observable state parameter

Published online by Cambridge University Press:  01 July 2016

I. B. Gertsbakh
I. B. Gertsbakh*
Affiliation:
Ben Gurion University of the Negev
*
∗Postal address: Department of Mathematics and Computer Science, Ben Gurion University of the Negev, P.O.B. 653, Beer Sheva 84 105, Israel.
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Abstract

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A group of n independent identical machines with exponential lifetimes is considered. Repair is made simultaneously for all failed machines. It is possible to observe the ‘state parameter', i.e. the number of operating machines. It is proved that for two types of critieria (minimal cost per time unit and maximal return per time unit) the optimal repair policy is of the following type: repair when the number of failed machines reaches some prescribed number .

Keywords

GROUP MAINTENANCE: CRITICAL LEVEL: STOPPING TIME
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 16 , Issue 4 , December 1984 , pp. 923 - 925
Copyright
Copyright © Applied Probability Trust 1984 

References

Aven, T. (1982) Optimal Replacement Times–a General Set-up. Statistical Research Report, Inst. of Statistics, Univ. of Oslo.Google Scholar
Gertsbakh, I. B. (1977) Models of Preventive Maintenance. North-Holland, Amsterdam.Google Scholar
Okumoto, K. and Elsayed, E. A. (1983) An optimum group maintenance policy. Naval Res. Logist. Quartz. 30, 667–674.CrossRefGoogle Scholar
Ross, S. M. (1971) Infinitesimal look-ahead stopping rules. Ann. Math. Statist. 42, 297–303.Google Scholar
Ross, S. M. (1983) Stochastic Processes. Wiley, New York.Google Scholar