论文标题

在不完整的信息下,具有均匀组件的耐断层系统的近乎最佳设计

Near-Optimal Design for Fault-Tolerant Systems with Homogeneous Components under Incomplete Information

论文作者

Arabneydi, Jalal, Aghdam, Amir G.

论文摘要

在本文中,我们研究了由多个均质组件(例如并行处理机)组成的系统的容忍控制。与具有单个组件的系统相比,这种类型的系统通常更适合不确定性。每个组件的状态处于操作模式或故障。在任何时候,根据Bernoulli概率分布,每个组件可能会独立出现故障。如果组件有故障,则一直保持原状,直到固定为止。目的是通过顺序选择以下三个选项之一来设计容忍故障的系统:(a)不以零成本执行任何操作; b)以检查成本检测有故障组件的数量,c)以修复故障组件的成本来修复系统。开发了一个钟声方程来确定问题的近乎最佳解决方案。通过数值模拟验证了所提出的解决方案的功效。

In this paper, we study a fault-tolerant control for systems consisting of multiple homogeneous components such as parallel processing machines. This type of system is often more robust to uncertainty compared to those with a single component. The state of each component is either in the operating mode or faulty. At any time instant, each component may independently become faulty according to a Bernoulli probability distribution. If a component is faulty, it remains so until it is fixed. The objective is to design a fault-tolerant system by sequentially choosing one of the following three options: (a) do nothing at zero cost; b) detect the number of faulty components at the cost of inspection, and c) fix the system at the cost of repairing faulty components. A Bellman equation is developed to identify a near-optimal solution for the problem. The efficacy of the proposed solution is verified by numerical simulations.

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