Simulated Method for Reliability Evaluation of Multi-State Coherent System

Aiming at the reliability evaluation and prediction of multi-state monotone coherent system, a simulated algorithm has been put forward in this paper. First, the multi-state coherent system has been formulated by generalizing the traditional binary reliability theories. Second, generating a random n...

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Bibliographic Details
Published inIranian journal of science and technology. Transaction A, Science Vol. 42; no. 3; pp. 1363 - 1371
Main Authors Qin, Jin-Lei, Li, Zheng, Niu, Yu-Guang, Meng, Gao-Qing
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.09.2018
Springer Nature B.V
Subjects
Algorithms
Chemistry/Food Science
Coherence
Component reliability
Computer simulation
Decision making
Decision theory
Earth Sciences
Engineering
Evaluation
Life Sciences
Markov chains
Materials Science
Physics
Random numbers
Reliability analysis
Research Paper
Structure-function relationships
Markov chain
Indices prediction
Multi-state monotone coherent system
Reliability simulated algorithm
Reliability evaluation
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Summary:Aiming at the reliability evaluation and prediction of multi-state monotone coherent system, a simulated algorithm has been put forward in this paper. First, the multi-state coherent system has been formulated by generalizing the traditional binary reliability theories. Second, generating a random number to the every component and then the system state can be ascertained using minimal path set or minimal cut set. Finally, the proportion of occurring number of each state to the total simulated times can be adopted as the probability that the system is in the specified state. In addition, the prediction of reliability indices for multi-state component has been formulated using Markov chain theory in order to make decision for engineer, such as, the probability that the component will not fail until a specified time or fail before a specified time, the state changing probability from one state to another at certain time, etc. Several examples illustrate the validity of the simulated algorithm and the prediction of reliability indices. Comparing with a k-out-of-n system, the suggested method is of higher precision. These results conclude that the simulated algorithm can be employed as a new substitute for system structure function to accomplish the reliability evaluating of multi-state coherent system.
ISSN:1028-6276
2364-1819
DOI:10.1007/s40995-017-0225-x