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Availability and reliability of k-out-of-(M+N) : G warm standby systems

机译：（M + N）k开出的可用性和可靠性：G热备用系统

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摘要

Redundancy or standby is a technique that has been widely applied to improving system reliability and availability in system design. In most cases, components in standby system are assumed to be statistically identical and independent. However, in many practical applications, not all components in standby can be treated as identical because they have different failure and repair rates. In this paper, one kind of such systems with two categories of components is studied, which is named k-out-of-(M+N):G warm standby system. In the system, one category of the components is of type 1 and the other type 2. There are M type 1 components and N type 2 components. Components of type 1 have a lower failure rate and are preferably repaired if there is one failed. There are r repair facilities available. By using Markov model, the system state transition process can be clearly illustrated, and furthermore, the solutions of system availability and reliability are obtained based on this. An example representing a power-generator and transmission system is given to illustrate the solutions of the system availability and reliability.
机译：冗余或备用是一种广泛用于提高系统设计中系统可靠性和可用性的技术。在大多数情况下，备用系统中的组件被认为在统计上是相同且独立的。但是，在许多实际应用中，并非待机中的所有组件都一样，因为它们的故障和修复率不同。本文研究了一种由两类组件组成的系统，即k-out-of-（M + N）：G热备用系统。在系统中，一类组件是类型1，另一类是类型2。有M个1类组件和N个2类组件。类型1的组件的故障率较低，如果发生故障，则最好进行修复。有r处维修设施。通过使用马尔可夫模型，可以清楚地说明系统状态转换过程，并据此获得系统可用性和可靠性的解决方案。给出了代表发电机和输电系统的示例，以说明系统可用性和可靠性的解决方案。

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