Computing systems reliability: models and analysis by Min Xie, Yuan-Shum Dai, and Kim-Leng Poh

By Min Xie, Yuan-Shum Dai, and Kim-Leng Poh

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The purpose of a network is to execute programs by connecting different sites that contain processing elements and resources. For simple network diagrams, computation is not complex and reliability block diagrams can alternatively be used. For example, Fig. 4 shows the network diagrams that are connected through series or parallel links. Fig. 4 can alternatively be represented by the reliability block diagrams if we view each link as a block, depicted by Fig. 1. The choice of reliability block diagram or network diagram depends on the convenience of their usage and description for certain specific problems.

3. Parameter estimation Usually, the mean value function m(t) contains some unknown parameters. The estimation of them is generally carried out by using the method of maximum likelihood or the method of least squares. 40 Basic Reliability Concepts Denote by where the number of faults detected in the time interval and is the running time since the beginning. The likelihood function for the NHPP model with mean value function m(t) is The parameters in m(t) can then be estimated by maximizing this likelihood function.

6. As the fault tree shows, the top-event of the system fails if both module 1 and 2 fail, or module 3 fails, or both module 4 and 5 fail. 18 Basic Reliability Concepts A fault tree diagram can describe the fault propagation in a system. However, complex systems may exhibit much more complex failure behavior, including multiple failure modes and dependent failure modes. These failures will have different effects on the mission outcome. The basic fault tree analysis does not support this type of modeling.

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