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Checking policy for deteriorating multistate systems

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  • Janusz Karpiński

Abstract

In this article a multistate system under some checking policy is considered. The system has n + 1 states: 0,1, …,n, and deteriorates gradually. State 0 is a normal (full capacity) state and states 1, …,n are considered unsatisfactory. Transition from state 0 to state 1 is considered a system failure. This failure can be detected only through checking, which entails a fixed cost c. The holding time in the undiscovered state i (i = 1, …,n) results in cost di per unit of time. For such a system, the algorithm of determining optimum checking times is given.

Suggested Citation

  • Janusz Karpiński, 1988. "Checking policy for deteriorating multistate systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 259-268, April.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:2:p:259-268
    DOI: 10.1002/1520-6750(198804)35:23.0.CO;2-5
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    References listed on IDEAS

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    1. Z. Kander, 1978. "Inspection policies for deteriorating equipment characterized by n quality levels," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(2), pages 243-255, June.
    2. Hanan Luss, 1983. "An Inspection Policy Model for Production Facilities," Management Science, INFORMS, vol. 29(9), pages 1102-1109, September.
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