Optimal strategies for some repair replacement models

@article{Stadje1990OptimalSF,
  title={Optimal strategies for some repair replacement models},
  author={Wolfgang Stadje and Dror Zuckerman},
  journal={Advances in Applied Probability},
  year={1990},
  volume={22},
  pages={641-656}
}
The problem of finding optimal replacement strategies for certain classes of failure systems is considered. These systems can be repaired upon failure, but are stochastically deteriorating, i.e., the lengths of the operating intervals decrease in some sense, whereas the durations of the repairs increase. For several models of this type optimal replacement strategies are derived under natural assumptions on the reward and the cost structure. This study deals with the problem of optimal… 
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A cold standby repairable system consisting of two nonidentical components and one repairman is studied and an optimal replacement policy N* is determined numerically so that the long-run average cost per unit time of the system is minimized.
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References

SHOWING 1-9 OF 9 REFERENCES
Optimal replacement under a minimal repair strategy—a general failure model
  • T. Aven
  • Mathematics
    Advances in Applied Probability
  • 1983
In this paper we generalize the minimal repair replacement model introduced by Barlow and Hunter (1960). We assume that there is available information about the underlying condition of the system,
A General Failure Model: Optimal Replacement with State Dependent Replacement and Failure Costs
TLDR
There exists an optimal replacement rule, and that it is a threshold rule for the process γt = dct/dt + Ktrt, which means that there exists a* < ∞, such that an optimal replacements rule is to replace at the time when the process rt assumed to be nondecreasing reaches the level a*, or if failure occurs before this, to replacement at failure.
A note on the optimal replacement problem
  • L. Yeh
  • Business
    Advances in Applied Probability
  • 1988
In this note, we study a new repair replacement model for a deteriorating system, in which the successive survival times of the system form a geometric process and are stochastically non-increasing,
SOME RESULTS FOR REPAIRABLE SYSTEMS WITH GENERAL REPAIR
In this paper, we develop general repair models for a repairable system by using the idea of the virtual age process of the system. If the system has the virtual age V, _ = y immediately after the (n
Age Dependent Minimal Repair.
Abstract : The failure process studied in this paper models the following maintained system setting. A piece of equipment is put in operation at time t=0. Each time it fails, a maintenance action is
Optimal replacement under a general failure model
  • B. Bergman
  • Economics
    Advances in Applied Probability
  • 1978
Replacement policies based on measurements of some increasing state variable, e.g. wear, accumulated damage or accumulated stress, are studied in this paper. It is assumed that the state measurements
Applied Probability Models with Optimization Applications
  • 1970