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A multi-state shock model with imitative failure patterns

机译：具有模拟故障模式的多状态冲击模型

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摘要

In this paper, to accommodate the known fact that a multi-state system is more likely to fail when its state gets worse, a multi-state shock model is proposed, in which the system failure patterns are mutative for different states. Shocks are classified into type I, type II and type III by magnitude. A type III shock has a destructive effect on the system and causes a complete failure whenever it occurs. A type II shock triggers the system down to a lower state. The system completely fails when the additive number of type II shocks exceeds a threshold. A type I shock has different effects for different system states. The system completely fails if the cumulative number of type I shocks exceeds a threshold which decreases as the system state gets lower. Distributions of the lasting time until the end of each system state, the lifetime and the residual lifetime of the system are derived when the interarrival times between successive shocks follow a common continuous phase-type distribution. Three different replacement policies are proposed to fit the characteristic of the new model, and corresponding optimization models are constructed to gain the optimal quantities.
机译：在本文中，为了适应多状态系统在状态恶化时更有可能发生故障的已知事实，提出了一种多状态冲击模型，其中系统故障模式对于不同状态是可变的。冲击按强度分为I型，II型和III型。 III型电击会对系统造成破坏性影响，并在发生时导致完全故障。 II型电击将系统降至较低状态。当II型电击的附加次数超过阈值时，系统将完全失败。 I型冲击对于不同的系统状态有不同的影响。如果I类电击的累积次数超过阈值（该阈值随系统状态变低而降低），则系统将完全失败。当连续冲击之间的到达时间遵循共同的连续相位类型分布时，可以得出直到每个系统状态结束的持续时间，系统的寿命和剩余寿命的分布。提出了三种不同的替换策略以适应新模型的特性，并构建了相应的优化模型以获得最佳数量。

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