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
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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