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Approximate Reliability and Availability Models for High Availability and Fault-tolerant Systems with Repair

机译:具有修复功能的高可用性和容错系统的近似可靠性和可用性模型

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摘要

Systems designed for high availability and fault tolerance are often configured as a series combination of redundant subsystems. When a unit of a subsystem fails, the system remains operational while the failed unit is repaired; however, if too many units in a subsystem fail concurrently, the system fails. Under conditions usually met in practical situations, we show that the reliability and availability of such systems can be accurately modeled by representing each redundant subsystem with a constant, 'effective' failure rate equal to the inverse of the subsystem mean-time-to-failure (MTTF). The approximation model is surprisingly accurate, with an error on the order of the square of the ratio mean-time-to-repair to mean-time-to-failure (MTTR/MTTF), and it has wide applicability for commercial, high-availability and fault-tolerant computer systems. The effective subsystem failure rates can be used to: (1) evaluate the system and subsystem reliability and availability; (2) estimate the system MTTF; and (3) provide a basis for the iterative analysis of large complex systems. Some observations from renewal theory suggest that the approximate models can be used even when the unit failure rates are not constant and when the redundant units are not homogeneous.
机译:为实现高可用性和容错能力而设计的系统通常被配置为冗余子系统的一系列组合。当子系统的某个单元发生故障时,在修复发生故障的单元时,系统仍可运行;但是,如果子系统中有太多单元同时发生故障,则系统将发生故障。在通常在实际情况下满足的条件下,我们表明,可以通过用恒定的“有效”故障率来表示每个冗余子系统,从而精确地建模此类系统的可靠性和可用性,该故障率等于子系统平均故障时间的倒数。 (MTTF)。近似模型出奇地准确,其平均修复时间与平均失效时间之比(MTTR / MTTF)的平方误差在数量级上,并且对于商业化,可用性和容错计算机系统。有效的子系统故障率可用于:(1)评估系统和子系统的可靠性和可用性; (2)估算系统MTTF; (3)为大型复杂系统的迭代分析提供了基础。更新理论的一些观察结果表明,即使单元故障率不是恒定且冗余单元不是同质的,也可以使用近似模型。

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