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Optimization of the dependability and performance measures of a generic model for multi-state deteriorating systems under maintenance

机译：维护中的多状态变质系统通用模型的可靠性和性能度量的优化

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摘要

In this paper, a general model for multi-state deteriorating systems with condition based preventive maintenance is introduced and analyzed extensively. The system experiences various levels of deterioration and at each stage, an inspection is carried out at constant time intervals in order to identify what kind of preventive maintenance, the system should undergo. When the system fails, despite preventive maintenance, a repair procedure is carried out and the system is restored to its initial fully operational state. The proposed model incorporates also imperfect maintenance, either minimal or major, failed maintenance and sudden failures that may occur mostly due to external factors at any deterioration state as well. Moreover, the sojourn times are assumed to be generally distributed. The main dependability and performance measures of the proposed model are computed while the corresponding transient measures are estimated using Monte Carlo simulation. Our endmost aim is to distinguish inspection and consequently maintenance policies that optimize multi-state deteriorating system's dependability and/or performance. Additionally, multi-objective optimization problems are formulated and solve in order to distinguish preventive maintenance policies that optimize simultaneously both the dependability and performance measures.
机译：在本文中，对基于状态的预防性维护的多状态恶化系统的通用模型进行了介绍和广泛分析。系统会经历各种程度的恶化，并且在每个阶段都以固定的时间间隔执行检查，以识别系统应进行哪种预防性维护。当系统发生故障时，尽管进行了预防性维护，仍将执行维修程序，并将系统恢复到其初始的完全运行状态。所提出的模型还包括不完善的维护，无论是最小维护还是大型维护，失败的维护以及突然出现的故障，这些故障可能主要是由于处于任何恶化状态的外部因素所导致的。此外，假定停留时间是大致分布的。计算了所提出模型的主要可靠性和性能指标，同时使用蒙特卡洛模拟估算了相应的瞬态指标。我们的最终目的是区分检查和维护策略，以优化多状态恶化系统的可靠性和/或性能。此外，还制定并解决了多目标优化问题，以区分同时优化可靠性和性能指标的预防性维护策略。

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