By Min Xie, Yuan-Shum Dai, and Kim-Leng Poh
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Additional resources for Computing systems reliability: models and analysis
Let be the time instants of successive events to occur. The sequence of non-negative independent and identically distributed random variables, renewal process. is a 30 Basic Reliability Concepts The idea of having the times depend on a state which can be generalized. We can assume that there is a set of states of as the set 0, 1,…, as before. The state at which can be thought is given by The chain now forms a process on its own. In particular, they may form a DTMC. The points are called Markov regeneration epochs, or Markov renewal moments.
The fault tree diagram represents the logical relationships of ‘AND’ and ‘OR’ among diverse failure events. Various shapes represent different meanings. In general, four basic shapes corresponding to four relationships are depicted by Fig. 5. Since any logical relationships can be transformed into the combinations of ‘AND’ and ‘OR’ relationships, the status of output/top event can be derived by the status of input events and the connections of the logical gates. 6. 4 is shown by Fig. 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.
3. 17 Fault tree analysis Fault tree analysis is a common tool in system safety analysis. It has been adapted in a range of reliability applications. A fault tree diagram is the underlying graphical model in fault tree analysis. Whereas the reliability block diagram is mission success oriented, the fault tree shows which combinations of the component failures will result in a system failure. The fault tree diagram represents the logical relationships of ‘AND’ and ‘OR’ among diverse failure events.