Importance and sensitivity analysis of multi-state systems using the universal generating function method

1999 ◽  
Vol 65 (3) ◽  
pp. 271-282 ◽  
Author(s):  
G. Levitin ◽  
A. Lisnianski
Keyword(s):  
Sensitivity Analysis ◽  
Generating Function ◽  
Function Method ◽  
Universal Generating Function

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

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Zheng Li ◽  
Jinlei Qin
Keyword(s):  
Sensitivity Analysis ◽  
Generating Function ◽  
Fault Tolerant ◽  
General Trend ◽  
Work Sharing ◽  
Resource Limitations ◽  
Multistate System ◽  
Overall Efficiency ◽  
Imperfect Coverage ◽  
Universal Generating Function

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.

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