Condition-based maintenance for a system subject to multiple degradation processes with stochastic arrival intensity
Complex degradation processes
Proceso gamma
12 Matemáticas
Mantenimiento bajo condiciones
Gamma process
Heterogeneities
01 natural sciences
Heterogeneidades
Condition-based maintenance
0101 mathematics
Shot-noise Cox process
Proceso de Cox de ruido de disparo
Procesos de degradación complejos
1203 Ciencia de Los Ordenadores
Mathematics - Probability
DOI:
10.1016/j.ejor.2022.01.004
Publication Date:
2022-01-11T18:06:13Z
AUTHORS (3)
ABSTRACT
Comment: 30 pages, 10 figures<br/>In this work, a system subject to different deterioration processes is analysed. The arrival of the degradation processes to the system is modelled using a shot-noise Cox process. The degradation processes grow according to an homogeneous gamma process. The system fails when a degradation process exceeds a failure threshold. The combined process of initiation and growth of the degradation processes is modelled and the system reliability is obtained. Heterogeneities are also integrated in the model assuming that the inverse of the scale parameter follows a uniform distribution. A maintenance strategy is implemented in this system and the state of the system is checked in inspection times. If the system is working at inspection time, a preventive replacement is performed if the deterioration level of a degradation process exceeds a certain threshold. A corrective replacement is performed if the system is down at inspection time. Under this maintenance strategy, the expected cost rate is obtained. Sensitivity analysis on the main parameters of the gamma process is performed.<br/>
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