Abstract
A system with more than two states is called a multistate system (MSS), and such systems have already become a general trend in the arena of complex industrial products and/or systems. Fault-tolerant technology often plays a very important role in improving the reliability of an MSS. However, the existence of imperfect coverage failure (ICF) in a work-sharing group (WSG) decreases the reliability of MSS. A method is proposed to assess the reliability and sensitivity of an MSS with ICF. The components in a WSG can cooperate so as to improve overall efficiency by increasing performance levels. Using the technique of the universal generating function (UGF), a component’s UGF expression with ICF can be incorporated in two steps. During the computation of the system’s UGF, an algorithm based on matrix (ABM) is developed to reduce the computational complexity. Consequently, indices of reliability can be easily calculated based on the UGF expression of an MSS. Sensitivity analysis can help engineers judge which WSG should be eliminated first under various resource limitations. Examples illustrate and validate this method.
Highlights
At is to say, even if sufficient redundancy exists, if the system cannot adequately detect, locate, and recover from internal faults and/or errors that have occurred, the entire system or one of its subsystems can fail [2]. e degree of fault tolerance is determined by the proportion of faults from which a system automatically recovers, and these faults are said to be covered by the recovery strategy [3]. erefore, the reliability analysis of such systems must take into account the process by which faults and errors are detected and recovered from, as well as the complex system structure
A complex framework based on integrated direct partial logic derivative (DPLD), whose computational complexity correlates with the number of system components and does not dependent on the structural complexity of multistate system (MSS), is developed for qualitative and quantitative analysis focusing on component criticality [19]
A reliability and sensitivity analysis approach is proposed for an MSS with imperfect coverage failure (ICF)
Summary
If C1 fails but the DEMS cannot discover it and continues to assign data transmission to C1, C1 will be in a state of exit s, namely, single point failure. Any element i in MSS can have mi + 1 different states corresponding to the performance levels that can be represented by the set ai ai0, ai1, . We can see that the model of an MSS includes two parts: PMF of performance levels for all system components and the structure function of the system. For an MSS whose performance level is defined as task completion time, its reliability can be expressed as the probability that the system satisfies the maximum allowed completion time of δ.
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