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A delay-time model to integrate the sequence of resumable jobs, inspection policy, and quality for a single-component system

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  • Sinisterra, Wilfrido Quiñones
  • Lima, Victor Hugo Resende
  • Cavalcante, Cristiano Alexandre Virginio
  • Aribisala, Adetoye Ayokunle

Abstract

This study proposes a model that integrates the schedule of a sequence of resumable jobs and inspection policy in a critical single-component system, following a deterioration process modeled with a delay-time concept. Thus, the system can be in a good, defective or failed state. When the system is in a defective state, it decreases in product quality, which leads to an increase in the proportion of non-conforming items and rework activities. If the system fails, a minimal repair is required to restore the system to an operational condition but in a defective state. Consequently, we established a limit of m consecutive minimal repairs to prevent the system from producing a substantial proportion of non-conforming items. So, we propose a mathematical framework and a simulation model to minimize the expected total costs. Also, we develop a Genetic Algorithm to tackle medium-size instances and analyze some special cases of the model. Therefore, we solved a numerical case and performed a sensitive analysis. We compare the Genetic Algorithm with a heuristic algorithm, and our model with its straight simplification. In this last comparison, in the worst case tested, the “ignorance cost†could reach 335%.

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  • Sinisterra, Wilfrido Quiñones & Lima, Victor Hugo Resende & Cavalcante, Cristiano Alexandre Virginio & Aribisala, Adetoye Ayokunle, 2023. "A delay-time model to integrate the sequence of resumable jobs, inspection policy, and quality for a single-component system," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    • Handle: RePEc:eee:reensy:v:230:y:2023:i:c:s0951832022005178
    DOI: 10.1016/j.ress.2022.108902
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