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 ex...

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Main Authors: Zheng Li, Jinlei Qin
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5560555
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author Zheng Li
Jinlei Qin
author_facet Zheng Li
Jinlei Qin
author_sort Zheng Li
collection DOAJ
description 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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spelling doaj-art-33ea50b5cf5d4b5ea70ce243b8f59bd02025-08-20T03:55:12ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55605555560555An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage FailureZheng Li0Jinlei Qin1Department of Computer, North China Electric Power University, Baoding, ChinaDepartment of Computer, North China Electric Power University, Baoding, ChinaA 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.http://dx.doi.org/10.1155/2021/5560555
spellingShingle Zheng Li
Jinlei Qin
An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure
Complexity
title An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure
title_full An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure
title_fullStr An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure
title_full_unstemmed An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure
title_short An Efficient Universal Generating Function-Based Analyzing Approach for Multistate System with Imperfect Coverage Failure
title_sort efficient universal generating function based analyzing approach for multistate system with imperfect coverage failure
url http://dx.doi.org/10.1155/2021/5560555
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