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Symmetry
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Advances and Applications of Uncertainty Theory in Reliability and Systems...
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Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 31 August 2024 | Viewed by 6439

Special Issue Editors

Dr. Meilin Wen

E-Mail Website
Guest Editor
School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China
Interests: belief reliability theory; reliability optimization; uncertainty theory; uncertain programming; data envelopment analysis
Prof. Dr. Xiaoyang Li

E-Mail Website
Guest Editor
School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China
Interests: belief reliability theory; reliability experiment theory; reliability and resilience modeling; accelerated degradation testing theory
Special Issues, Collections and Topics in MDPI journals
Dr. Qingyuan Zhang

E-Mail Website
Guest Editor
School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
Interests: belief reliability theory; uncertainty quantification and analysis; reliability modeling; function-oriented reliability design
Dr. Tianpei Zu

E-Mail Website
Guest Editor
School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
Interests: belief reliability theory; reliability evaluation; uncertainty quantification method

Special Issue Information

Dear Colleagues,

Reliability and system engineering, as important approaches used to fight against product failure and risk, have been challenged by various problems, especially the epistemic uncertainty of information and data caused by the increase in complexity. In recent years, uncertainty theory has been widely used to cope with uncertainty issues in reliability and systems engineering, including the epistemic uncertainty quantification of the failure process, reliability and resilience modelling, risk assessment, reliability-based design optimization, and degradation testing modelling.

This planned Special Issue in Symmetry aims to provide a platform for researchers and industrial engineers to exchange the latest research results on the application of uncertainty theory in reliability and system engineering. The papers accepted in this Special Issue are expected to employ symmetry or asymmetry concepts in their methods to cope with uncertainty quantification, modelling, and analysis regarding system failure and reliability. Topics of interest for submission include, but are not limited to, the following:

  • Uncertainty quantification in reliability and systems engineering;
  • Reliability optimization with uncertainty;
  • Reliability evaluation method with limited information;
  • Reliability and resilience for complex systems with uncertainty;
  • Prognostics and health management using uncertainty theory;
  • Uncertain decision making in reliability and systems engineering.

When submitting your paper, please select the Journal “Symmetry” and the Special Issue “Advances in and Applications of Uncertainty Theory in Reliability and Systems Engineering” via MDPI’s submission system. Our papers will be published on a rolling basis. We look forward to receiving your submissions.

Dr. Meilin Wen
Prof. Dr. Xiaoyang Li
Dr. Qingyuan Zhang
Dr. Tianpei Zu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • reliability and systems engineering
  • uncertainty theory
  • reliability optimization with uncertainty
  • reliability evaluation with limited information
  • reliability and resilience for complex systems with uncertainty
  • uncertain decision making

Published Papers (7 papers)

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Research

17 pages, 2412 KiB  
Article
Cascading Failure Modeling for Circuit Systems Considering Continuous Degradation and Random Shocks Using an Impedance Network
by Yi Jin and Qingyuan Zhang
Symmetry 2024, 16(4), 488; https://doi.org/10.3390/sym16040488 - 17 Apr 2024
Viewed by 226
Abstract
The reliability of circuit systems is primarily affected by cascading failures due to their complex structural and functional coupling. Causes of cascading failure during circuit operation include the continuous degradation process of components and external random shocks. Circuit systems can exhibit asymmetric structural [...] Read more.
The reliability of circuit systems is primarily affected by cascading failures due to their complex structural and functional coupling. Causes of cascading failure during circuit operation include the continuous degradation process of components and external random shocks. Circuit systems can exhibit asymmetric structural changes and functional loss during cascading failure propagation due to the coupling of degradation and shock and their uncertainty effects. To tackle this issue, this paper abstracts the circuit into an impedance network and constructs a component failure behavior model that considers the correlation between degradation and shock. The interactions between soft and hard failure processes among different components are discussed. Two types of cascading failure propagation processes are described: slow propagation associated with continuous degradation and damage shock, and fast propagation due to fatal shock. Based on this, a cascading failure simulation algorithm is developed. This article presents a case study to demonstrate the proposed models and to analyze the reliability of a typical circuit system. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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23 pages, 1354 KiB  
Article
Based Copula Reliability Estimation with Stress-Strength Model for Bivariate Stress under Progressive Type II Censoring
by Junrui Wang and Rongfang Yan
Symmetry 2024, 16(3), 265; https://doi.org/10.3390/sym16030265 - 21 Feb 2024
Viewed by 1050
Abstract
This study investigates the dependence between stress and component strength in a stress–strength model with bivariate stresses by incorporating a specialized Archimedean copula, specifically the 3-dimensional Clayton copula. Diverging from prior research, we consider a scenario where two stresses simultaneously influence the component [...] Read more.
This study investigates the dependence between stress and component strength in a stress–strength model with bivariate stresses by incorporating a specialized Archimedean copula, specifically the 3-dimensional Clayton copula. Diverging from prior research, we consider a scenario where two stresses simultaneously influence the component strength, enhancing the realism of our model. Initially, dependent parameter estimates were obtained through moment estimation. Subsequently, maximum likelihood estimation and Bayesian estimation were employed to acquire point and interval estimates for the model parameters. Finally, numerical simulations and real-world data analysis were conducted to validate the accuracy and practicality of our proposed model. This research establishes a foundation for further exploration of general dependence structures and multi-component stress–strength correlation issues. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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16 pages, 1976 KiB  
Article
Uncertainly Analysis of Prior Distribution in Accelerated Degradation Testing Bayesian Evaluation Method Based on Deviance Information Criterion
by Tianji Zou, Kai Liu, Wenbo Wu, Ke Wang and Congmin Lv
Symmetry 2024, 16(2), 160; https://doi.org/10.3390/sym16020160 - 30 Jan 2024
Viewed by 625
Abstract
The accelerated degradation testing (ADT) Bayesian evaluation method comprehensively utilizes product degradation data under accelerated stress levels collected over a short period of time and multiple sources of prior information, such as historical information, similar product information, simulation information, etc., to conduct life [...] Read more.
The accelerated degradation testing (ADT) Bayesian evaluation method comprehensively utilizes product degradation data under accelerated stress levels collected over a short period of time and multiple sources of prior information, such as historical information, similar product information, simulation information, etc., to conduct life and reliability evaluation. Through the prior distribution, prior information affects the ADT Bayesian evaluation results ultimately. However, different evaluators may obtain different prior distributions based on the same prior information due to varying experiences or rules, which may lead to differences in the ADT Bayesian evaluation results. Therefore, it is necessary to analyze and study the impact of prior distribution uncertainty on the ADT Bayesian evaluation results while also finding criteria to judge the quality of prior distributions. This paper focuses on the ADT Bayesian evaluation method based on the Wiener process and the Arrhenius relation, studying the influence of different prior distributions on the robustness of ADT Bayesian evaluation results. Additionally, based on the deviance information criterion (DIC), a criterion for selecting prior distributions in the ADT Bayesian evaluation method is proposed. Through carrying out uncertainty analysis of prior distribution in the ADT Bayesian evaluation method, a theoretical system and framework for analyzing prior uncertainty in ADT Bayesian evaluation based on DIC are established, providing a better foundation for the practical application of the ADT Bayesian evaluation method in engineering. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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12 pages, 3114 KiB  
Article
Reliability-Centered Preventive Maintenance Optimization for a Single-Component Mechanical Equipment
by Yaojun Liu, Yuhua Tang, Ping Wang, Xiaolin Song and Meilin Wen
Symmetry 2024, 16(1), 16; https://doi.org/10.3390/sym16010016 - 21 Dec 2023
Viewed by 859
Abstract
Due to the high failure rates of mechanical equipment with complex structures and numerous moving parts, devising an effective preventive maintenance (PM) plan and avoiding the influence brought by failure is crucial. However, some PM efforts are disorganized, unpractical, and unscientific, leading to [...] Read more.
Due to the high failure rates of mechanical equipment with complex structures and numerous moving parts, devising an effective preventive maintenance (PM) plan and avoiding the influence brought by failure is crucial. However, some PM efforts are disorganized, unpractical, and unscientific, leading to prolonged downtime and significant cost losses. The challenge in creating PM plans is exacerbated by the asymmetry between maintenance and failure data. Therefore, focusing on single-unit mechanical equipment, the reliability-centered maintenance (RCM) idea is put forward to find out the key parts to implement preventive maintenance, and PM models are built to draw up a more reasonable PM plan. Such strategies aim to lower maintenance costs and enhance economic performance. Data on past maintenance and failures are analyzed to determine the life distribution and maintenance effect functions, helping to quantify the uncertainty caused by data asymmetry. Two PM optimization models considering time-varying failure rates are proposed: one focuses on minimizing costs, while the other aims to maximize availability. A PM plan example is demonstrated using a component from a tire-building machine including six parts, which proves the validity of the models. The availability results of two parts corresponding to the maintenance strategy obtained by the availability maximization model are above 0.99, and the results of total costs per unit time of the remaining four parts obtained by the cost minimization model are under 5.69. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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15 pages, 330 KiB  
Article
Rényi Entropy for Past Lifetime Distributions with Application in Inactive Coherent Systems
by Mohamed Kayid and Mansour Shrahili
Symmetry 2023, 15(7), 1310; https://doi.org/10.3390/sym15071310 - 26 Jun 2023
Cited by 2 | Viewed by 773
Abstract
In parallel with the concept of Rényi entropy for residual lifetime distributions, the Rényi entropy of inactivity time of lifetime distributions belonging to asymmetric distributions is a useful measure of independent interest. For a system that turns out to be inactive in time [...] Read more.
In parallel with the concept of Rényi entropy for residual lifetime distributions, the Rényi entropy of inactivity time of lifetime distributions belonging to asymmetric distributions is a useful measure of independent interest. For a system that turns out to be inactive in time t, the past entropy is considered as an uncertainty measure for the past lifetime distribution. In this study, we consider a coherent system that includes n components and has the property that all the components of the system have failed at time t. To assess the predictability of the coherent system’s lifetime, we use the system’s signature to determine the Rényi entropy of its past lifetime. We study several analytical results, including expressions, bounds, and order properties for this measure. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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14 pages, 6046 KiB  
Article
Fault Diagnosis for China Space Station Circulating Pumps: Prototypical Network with Uncertainty Theory
by Wenbo Wu, Tianji Zou, Dong Guo, Lu Zhang, Ke Wang and Xuzhi Li
Symmetry 2023, 15(4), 903; https://doi.org/10.3390/sym15040903 - 13 Apr 2023
Cited by 1 | Viewed by 959
Abstract
Methods for fault diagnosis based on metric learning, in which a query sample is classified by picking the closest prototype from the support set based on their feature similarities, have been the subject of many studies. In real-world applications of in-orbit products, such [...] Read more.
Methods for fault diagnosis based on metric learning, in which a query sample is classified by picking the closest prototype from the support set based on their feature similarities, have been the subject of many studies. In real-world applications of in-orbit products, such as circulating pumps, the computation of similarity between different pairs is prone to different degrees of inaccuracy, especially epistemic uncertainty. Knowing and considering the uncertainty of similarity may improve fault detection accuracy. This article provides a unique approach to fault diagnosis based on Prototypical Network (Pro-Net) and Uncertainty Theory. In particular, we use epistemic uncertainty by altering the representation of prototypes from a deterministic scalar to an uncertain representation. To assess the similarity between a query and the prototypes in a support set, we calculate the uncertain distance between the pairs using cross-entropy. Experiments with symmetrical structures reveal that our proposed method significantly enhances classification precision and achieves state-of-the-art performance. It improves the reliability of fault diagnosis and reduces the risk of making erroneous judgments in safety-critical systems, decreasing the possibility of adverse consequences. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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14 pages, 2832 KiB  
Article
A Novel Safe Life Extension Method for Aircraft Main Landing Gear Based on Statistical Inference of Test Life Data and Outfield Life Data
by Yueshuai Fu, Huimin Fu and Sheng Zhang
Symmetry 2023, 15(4), 880; https://doi.org/10.3390/sym15040880 - 07 Apr 2023
Cited by 2 | Viewed by 1241
Abstract
Safe life extension work is demanded on an aircraft’s main landing gear (MLG) when the outfield MLG reaches the predetermined safe life. Traditional methods generally require costly and time-consuming fatigue tests, whereas they ignore the outfield data containing abundant life information. Thus, this [...] Read more.
Safe life extension work is demanded on an aircraft’s main landing gear (MLG) when the outfield MLG reaches the predetermined safe life. Traditional methods generally require costly and time-consuming fatigue tests, whereas they ignore the outfield data containing abundant life information. Thus, this paper proposes a novel life extension method based on statistical inference of test and outfield life data. In this method, the MLG’s fatigue life is assumed to follow a right-skewed lognormal distribution with an asymmetric probability density function. In addition, the MLG’s new safe life can be inferred through the Bayesian approach in which the test life data and outfield life data are used for prior information acquisition and Bayesian update, respectively. The results indicated that the MLG’s safe life was significantly extended, illustrating the effectiveness of the proposed method. Numerous simulations also demonstrated that the extended safe life can meet the requirements of reliability and confidence and thus is applicable in engineering practice. Full article
(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
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