Abstract
This paper introduces a collaborative optimization approach for maintenance and mission abortion policies in a system characterized by two competing degradation processes. A stochastic degradation model considering two thresholds (i.e. abort threshold for repair and abort threshold for replacement) is developed. A second degradation process occurs when the deterioration amount reaches the warning threshold. The two degradation processes are independent and follow the Gamma process with different parameters. If the degradation level surpasses the abort threshold for repair, the system is aborted and undergoes repairs. Similarly, when the degradation level reaches the abort threshold for replacement, the system is terminated and substituted with a new one. The system’s long-run average cost and steady-state availability are analyzed to establish the optimal abort thresholds. Finally, a numerical example is presented and interpreted, demonstrating the effectiveness and advantages of the suggested abort policies. For comparison, the effectiveness of the proposed model with abort policies and that of models without are analytically evaluated.
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