An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure

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.

Automated summary

Multistate systems have become a general trend in complex industrial products and systems, with fault-tolerant technology playing a key role in improving reliability. Imperfect coverage failure in a work-sharing group can reduce reliability, but a method using universal generating function and matrix-based algorithm can assess and enhance the reliability of multistate systems. Sensitivity analysis helps identify which work-sharing group should be prioritized for elimination under resource limitations.