Operations Research Transactions >
2025 , Vol. 29 >Issue 1: 55 - 62
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2025.01.005
The inspection and preventive maintenance policy for a δ-shock model which has two types of failures
Received date: 2021-05-26
Online published: 2025-03-08
Copyright
In this paper, the preventive maintenance policy for a δ-shock model is studied. The system is a geometric process degradation system. The failure of the system on the one hand is because of the lifetime of the system, on the other hand is because of the interval of two consecutive shocks less than a fixed value. The fault of the system can only be found by inspection. When the working time of the system reaches a certain value, the inspect will be carried out, and preventive maintenance will be carried out if there is no fault. Preventive maintenance will restore the system to the state after the last fault maintenance, and if the system fault, a fault repair will be carried out. Based on the two-dimensional policy composed of the interval of system detection and the failure times before replacement, the expression of the expected cost per unit time of system is obtained by using the renewal process and geometric process theory. Finally, numerical examples are given.
Key words： shock; inspection; preventive maintenance; geometric process; expected cost
Qiaoqiao GAO, Dequan YUE . The inspection and preventive maintenance policy for a δ-shock model which has two types of failures[J]. Operations Research Transactions, 2025 , 29(1) : 55 -62 . DOI: 10.15960/j.cnki.issn.1007-6093.2025.01.005
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