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Inspection interval optimization for a k-out-of-n load sharing system under a hybrid mixed redundancy strategy

机译:Hybrid混合冗余策略下K-OF-N负载共享系统的检查间隔优化

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In this paper, we optimize the periodic inspection interval for a k-out-of-n load sharing system with a mixed redundancy strategy in which the components are identical. The system is inspected at fixed intervals. If the system has any failed components, they will be detected at the end of the inspection interval. The components will be sent for repair at the beginning of the next inspection interval and will be available at the end of the interval. We assume the component's repair time is less than the inspection interval. Similarly, if the system fails to work during an inspection interval, it will be detected at the end of the interval. In the proposed hybrid mixed redundancy strategy, the system starts working with any number of components between k and n, depending on the number of the available components at the beginning of the inspection interval. We consider replacing the failed component with a new one from the standby queue using an imperfect discrete switch. Moreover, after a component's failure, its load will be shared among the remaining components, which causes an increase in their failure rates. The presented work aims to find the optimal total expected system cost per unit time by determining the number of working components at the beginning of each time interval and the inspection interval. The expected total system cost consists of the system's inspection cost, components' repair cost, system's downtime cost, and repair cost. The presented problem is solved with a full enumeration method and a new heuristic algorithm. The results show the superiority of the presented mixed redundancy strategy in comparison with the traditional strategies. Moreover, the proposed heuristic algorithm performs better in terms of computational time (up to one percent) compared to the full enumeration techniques.
机译:在本文中,我们优化了具有混合冗余策略的K-Out-N负载共享系统的定​​期检查间隔,其中组件是相同的。系统以固定间隔检查。如果系统具有任何故障组件,则会在检查间隔的末尾进行检测。将在下一个检查间隔的开头发送组件进行修复,并将在间隔结束时使用。我们假设组件的修复时间小于检验间隔。类似地,如果系统在检查间隔期间无法工作,则会在间隔结束时检测到。在提议的混合混合冗余策略中,系统开始使用K和N之间的任何数量的组件,具体取决于检查间隔开头的可用组件的数量。我们考虑使用不完美的离散开关将失败的组件用备用队列中的新增功能替换为替换失败的组件。此外,在组件的故障之后,其负载将在其余组件中共享,这导致其失败率的增加。通过确定每次间隔开头和检验间隔的工作组件的数量来确定每单位时间的最佳预期系统成本。预期的总系统成本包括系统的检查成本,组件的维修成本,系统的停机费用和维修费用。通过完整的枚举方法和新的启发式算法来解决所呈现的问题。结果表明,与传统策略相比,呈现的混合冗余策略的优势。此外,与完整的枚举技术相比,所提出的启发式算法在计算时间(最多一个百分比)方面更好地执行。

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