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Singularity of Some Software Reliability Models and Parameter Estimation Method 被引量:1
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作者 XU Ren-zuo ZHOU Rui YANG Xiao-qing (State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China) 《Wuhan University Journal of Natural Sciences》 EI CAS 2000年第1期35-40,共6页
According to the principle, “The failure data is the basis of software reliability analysis”, we built a software reliability expert system (SRES) by adopting the artificial intelligence technology. By reasoning out... According to the principle, “The failure data is the basis of software reliability analysis”, we built a software reliability expert system (SRES) by adopting the artificial intelligence technology. By reasoning out the conclusion from the fitting results of failure data of a software project, the SRES can recommend users “the most suitable model” as a software reliability measurement model. We believe that the SRES can overcome the inconsistency in applications of software reliability models well. We report investigation results of singularity and parameter estimation methods of experimental models in SRES. 展开更多
关键词 software reliability measurement models software reliability expert system SINGULARITY parameter estimation method path following method maximum likelihood ML-fitting algorithm
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Singularity of Software Reliability Models LVLM and LVQM
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作者 XU Ren zuo ZHOU Rui YANG Xiao qing 《Wuhan University Journal of Natural Sciences》 EI CAS 2000年第2期150-154,共5页
According to the principle, “The failure data is the basis of software reliabilityanalysis”, we built a software reliability expert system (SRES) by adopting the artificialtechnology. By reasoning out the conclusion... According to the principle, “The failure data is the basis of software reliabilityanalysis”, we built a software reliability expert system (SRES) by adopting the artificialtechnology. By reasoning out the conclusion from the fitting results of failure data of asoftware project, the SRES can recommend users “the most suitable model” as a softwarereliability measurement model. We believe that the SRES can overcome the inconsistency inapplications of software reliability models well. We report investigation results of singularity and parameter estimation methods of models, LVLM and LVQM. 展开更多
关键词 software reliability measurement models software reliability expert system SINGULARITY parameter estimation method LVLM LVQM
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Using PoF models to predict system reliability considering failure collaboration 被引量:8
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作者 Zeng Zhiguo Kang Rui Chen Yunxia 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2016年第5期1294-1301,共8页
Existing Physics-of-Failure-based(PoF-based)system reliability prediction methods are grounded on the independence assumption,which overlooks the dependency among the compo-nents.In this paper,a new type of dependency... Existing Physics-of-Failure-based(PoF-based)system reliability prediction methods are grounded on the independence assumption,which overlooks the dependency among the compo-nents.In this paper,a new type of dependency,referred to as failure collaboration,is introduced and considered in reliability predictions.A PoF-based model is developed to describe the failure behavior of systems subject to failure collaboration.Based on the developed model,the Bisection-based Reliability Analysis Method(BRAM)is exploited to calculate the system reliability.The developed methods are applied to predicting the reliability of a Hydraulic Servo Actuator(HSA).The results demonstrate that the developed methods outperform the traditional PoF-based reliability prediction methods when applied to systems subject to failure collaboration. 展开更多
关键词 DEPENDENCY Failure collaboration Physics-of-failure reliability modeling reliability prediction
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Belief reliability modeling and analysis for TPS considering physical principles,degradation mechanism and epistemic uncertainties
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作者 Dayu CHEN Yao LI +4 位作者 Yiyang SHANGGUAN Zhiqiang LI Zhenqiang WU Xiaoyang LI Rui KANG 《Chinese Journal of Aeronautics》 2025年第5期262-274,共13页
Thermal Protection System(TPS)with thick tiles,low thermal conductivity,and a short re-entry stage stands as a critical element within reusable aircraft,whose reliability is related to the function and changes with th... Thermal Protection System(TPS)with thick tiles,low thermal conductivity,and a short re-entry stage stands as a critical element within reusable aircraft,whose reliability is related to the function and changes with their physical properties,external conditions,and degradation.Meanwhile,due to the limitation of testing resources,epistemic uncertainties stemming from the small samples are present in TPS reliability modeling.However,current TPS reliability modeling methods face challenges in characterizing the relationships among reliability and physical properties,external conditions,degradation,and epistemic uncertainties.Therefore,under the framework of belief reliability theory,a TPS reliability model is constructed,which takes into account the physical principle,external conditions,performance degradation,and epistemic uncertainties.A reliability simulation algorithm is proposed to calculate TPS reliability.Through a case study and comparison analysis,the proposed method is validated as more effective than the existing method.Additionally,reliability sensitivity analysis is conducted to identify the sensitive factors of reliability under the condition of small samples,through which suggestions are provided for TPS functional design and improvement. 展开更多
关键词 Thermal protection system Physical principle Epistemic uncertainty Performance degradation Belief reliability modeling
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The Reliability Design of a Kind of Multioption Fuze
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作者 邓甲昊 施聚生 《Journal of Beijing Institute of Technology》 EI CAS 1996年第2期170+162-170,共10页
On the basis of analysing the reliability problems existing in the general design of a kind of multioption fuze. some problems such as the reliability model. the reliability distribution of the electronic part of the ... On the basis of analysing the reliability problems existing in the general design of a kind of multioption fuze. some problems such as the reliability model. the reliability distribution of the electronic part of the fuze are discussed. For a particular multioption fuze, then.according to three different setting ways. the calculating methods of its operating reliability in six different operating states are given. 展开更多
关键词 multioption fuze reliability design reliability calculation reliability modelling proximity fuze
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Transformer real-time reliability model based on operating conditions 被引量:10
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作者 HE Jian CHENG Lin SUN Yuan-zhang 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第3期378-383,共6页
Operational reliability evaluation theory reflects real-time reliability level of power system. The component failure rate varies with operating conditions. The impact of real-time operating conditions such as ambient... Operational reliability evaluation theory reflects real-time reliability level of power system. The component failure rate varies with operating conditions. The impact of real-time operating conditions such as ambient temperature and transformer MVA (megavolt-ampere) loading on transformer insulation life is studied in this paper. The formula of transformer failure rate based on the winding hottest-spot temperature (HST) is given. Thus the real-time reliability model of transformer based on oper- ating conditions is presented. The work is illustrated using the 1979 IEEE Reliability Test System. The changes of operating conditions are simulated by using hourly load curve and temperature curve, so the curves of real-time reliability indices are ob- tained by using operational reliability evaluation. 展开更多
关键词 Operational reliability Real-time reliability model TRANSFORMER Winding hottest-pot temperature (HST)
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A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model 被引量:8
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作者 Hao Wang Yi-Min Zhang Zhou Yang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2018年第6期128-136,共9页
The current research of reliability allocation of CNC lathes always treat CNC lathes as independent series systems. However, CNC lathes are complex systems in the actual situation. Failure correlation is rarely consid... The current research of reliability allocation of CNC lathes always treat CNC lathes as independent series systems. However, CNC lathes are complex systems in the actual situation. Failure correlation is rarely considered when reliabil?ity allocation is conducted. In this paper, drawbacks of reliability model based on failure independence assumption are illustrated, after which, reliability model of CNC lathes considering failure correlation of subsystems is established based on Copula theory, which is an improvement of traditional reliability model of series systems. As the failure time of CNC lathes often obeys Weibull or exponential distribution, Gumbel Copula is selected to build correlation model. After that, a reliability allocation method considering failure correlation is analyzed based on the model established before. Reliability goal is set first and then failure rates are allocated to subsystems according to the allocation vector through solving the correlation model. Reliability allocation is conducted for t = 1. A real case of a CNC lathe and a numerical case are presented together to illustrate the advantages of the reliability model established consider?ing failure correlation and the corresponding allocation method. It shows that the model accords to facts and real working condition more, and failure rates allocated to all the subsystems are increased to some extent. This research proposes a reliability allocation method which takes failure correlation among subsystems of CNC lathes into consid?eration, and costs for design and manufacture could be decreased. 展开更多
关键词 CNC lathe COPULA Failure correlation reliability model reliability allocation
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Discrete Stress-strength Interference Model of Reliability Analysis under Multi-operating Conditions 被引量:5
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作者 AN Zongwen HUANG Hongzhong +2 位作者 WANG Zhonglai ZHANG Xiaoling WANG Guibao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2010年第3期398-402,共5页
The conventional stress-strength interference(SSI) model is a basic model for reliability analysis of mechanical components. In this model, the component reliability is defined as the probability of the strength bei... The conventional stress-strength interference(SSI) model is a basic model for reliability analysis of mechanical components. In this model, the component reliability is defined as the probability of the strength being larger than the stress, where the component stress is generally represented by a single random variable(RV). But for a component under multi-operating conditions, its reliability can not be calculated directly by using the SSI model. The problem arises from that the stress on a component under multi-operating conditions can not be described by a single RV properly. Current research concerning the SSI model mainly focuses on the calculation of the static or dynamic reliability of the component under single operation condition. To evaluate the component reliability under multi-operating conditions, this paper uses multiple discrete RVs based on the actual stress range of the component firstly. These discrete RVs have identical possible values and different corresponding probability value, which are used to represent the multi-operating conditions of the component. Then the component reliability under each operating condition is calculated, respectively, by employing the discrete SSI model and the universal generating function technique, and from this the discrete SSI model under multi-operating conditions is proposed. Finally the proposed model is applied to evaluate the reliability of a transmission component of the decelerator installed in an aeroengine. The reliability of this component during taking-off, cruising and landing phases of an aircraft are calculated, respectively. With this model, a basic method for reliability analysis of the component under complex load condition is provided, and the application range of the conventional SSI model is extended. 展开更多
关键词 reliability model STRESS STRENGTH multi-operating conditions universal generating function
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Incorporating S-shaped testing-effort functions into NHPP software reliability model with imperfect debugging 被引量:8
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作者 Qiuying Li Haifeng Li Minyan Lu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第1期190-207,共18页
Testing-effort(TE) and imperfect debugging(ID) in the reliability modeling process may further improve the fitting and prediction results of software reliability growth models(SRGMs). For describing the S-shaped... Testing-effort(TE) and imperfect debugging(ID) in the reliability modeling process may further improve the fitting and prediction results of software reliability growth models(SRGMs). For describing the S-shaped varying trend of TE increasing rate more accurately, first, two S-shaped testing-effort functions(TEFs), i.e.,delayed S-shaped TEF(DS-TEF) and inflected S-shaped TEF(IS-TEF), are proposed. Then these two TEFs are incorporated into various types(exponential-type, delayed S-shaped and inflected S-shaped) of non-homogeneous Poisson process(NHPP)SRGMs with two forms of ID respectively for obtaining a series of new NHPP SRGMs which consider S-shaped TEFs as well as ID. Finally these new SRGMs and several comparison NHPP SRGMs are applied into four real failure data-sets respectively for investigating the fitting and prediction power of these new SRGMs.The experimental results show that:(i) the proposed IS-TEF is more suitable and flexible for describing the consumption of TE than the previous TEFs;(ii) incorporating TEFs into the inflected S-shaped NHPP SRGM may be more effective and appropriate compared with the exponential-type and the delayed S-shaped NHPP SRGMs;(iii) the inflected S-shaped NHPP SRGM considering both IS-TEF and ID yields the most accurate fitting and prediction results than the other comparison NHPP SRGMs. 展开更多
关键词 testing-effort(TE) imperfect debugging(ID) software reliability growth models(SRGMs) S-shaped non-homogeneous Poisson process(NHPP)
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A compositional method to model dependent failure behavior based on PoF models 被引量:4
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作者 Zhiguo ZENG Yunxia CHEN +1 位作者 Enrico ZIO Rui KANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2017年第5期1729-1739,共11页
In this paper, a new method is developed to model dependent failure behavior among failure mechanisms. Unlike the existing methods, the developed method models the root cause of the dependency explicitly, so that a de... In this paper, a new method is developed to model dependent failure behavior among failure mechanisms. Unlike the existing methods, the developed method models the root cause of the dependency explicitly, so that a deterministic model, rather than a probabilistic one, can be established. Three steps comprise the developed method. First, physics-of-failure(PoF) models are utilized to model each failure mechanism. Then, interactions among failure mechanisms are modeled as a combination of three basic relations, competition, superposition and coupling. This is the reason why the method is referred to as "compositional method". Finally, the PoF models and the interaction model are combined to develop a deterministic model of the dependent failure behavior. As a demonstration, the method is applied on an actual spool and the developed failure behavior model is validated by a wear test. The result demonstrates that the compositional method is an effective way to model dependent failure behavior. 展开更多
关键词 DEGRADATION Dependent failures Multiple dependent competing failure processes reliability modeling Shock
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Reliability modeling of hydraulic system of drum shearer machine 被引量:8
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作者 SEYED HADI Hoseinie MOHAMMAD Ataie +1 位作者 REZA Khalookakaei UDAY Kumar 《Journal of Coal Science & Engineering(China)》 2011年第4期450-456,共7页
The hydraulic system plays an important role in supplying power and its transition to other working parts of a coal shearer machine. In this paper, the reliability of the hydraulic system of a drum shearer was analyze... The hydraulic system plays an important role in supplying power and its transition to other working parts of a coal shearer machine. In this paper, the reliability of the hydraulic system of a drum shearer was analyzed. A case study was done in the Tabas Coal Mine in Iran for failure data collection. The results of the statistical analysis show that the time between failures (TBF) data of this system followed the 3-parameters Weibull distribution. There is about a 54% chance that the hydraulic system of the drum shearer will not fail for the first 50 h of operation. The developed model shows that the reliability of the hydraulic system reduces to a zero value after approximately 1 650 hours of operation. The failure rate of this system decreases when time increases. Therefore, corrective maintenance (run-to-t^ailure) was selected as the best maintenance strategy for it. 展开更多
关键词 reliability modeling hydraulic system drum shearer maintenance strategy
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Reliability model of organization management chain of South-to-North Water Diversion Project during construction period 被引量:3
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作者 Feng Jingchun Zhou Yang +2 位作者 Hong Yuzhen Zhao Shixin Ren Xiaoqiang 《Water Science and Engineering》 EI CAS 2008年第4期107-113,共7页
In order to analyze the indispensability of the organization management chain of the South-to-North Water Diversion Project (SNWDP), two basic forms (series connection state and mixed state of both series connectio... In order to analyze the indispensability of the organization management chain of the South-to-North Water Diversion Project (SNWDP), two basic forms (series connection state and mixed state of both series connection and parallel connection) of the organization management chain can be abstracted. The indispensability of each form has been studied and is described in this paper. Through analysis of the reliability of the two basic forms, reliability models of the organization management chain in the series connection state and the mixed state of both series connection and parallel connection have been set up. 展开更多
关键词 South-to-North Water Diversion Project reliability model management chain parallel connection series connection
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Reliability Copula Model for Wind Turbine Gearbox Based on Failure Correlation 被引量:3
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作者 安宗文 张宇 汪忠来 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第3期312-316,共5页
On the basis of each gear's failure correlation, the reliability Copula model of a wind turbine gearbox is established and a 1.5 MW wind turbine gearbox is taken as the research object. Firstly, based on the dynam... On the basis of each gear's failure correlation, the reliability Copula model of a wind turbine gearbox is established and a 1.5 MW wind turbine gearbox is taken as the research object. Firstly, based on the dynamic reliability model of mechanical parts, each gear's life distribution function of a wind turbine gearbox is obtained.The life distribution function can be used as the marginal distributions of the system's joint distribution. Secondly,Copula function is introduced to describe the failure correlation between parts, and the appropriate Copula function is selected according to the shape characters of Copula probability density function. Finally, the wind turbine gearbox system is divided into three parts according to the failure correlation of each gear. The Sklar theorem and the thought of step by step analysis are used to obtain the reliability Copula model for a wind turbine gearbox based on failure correlation. 展开更多
关键词 wind turbine gearbox GEAR failure correlation Copula function reliability model
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Discrete Software Reliability Growth Modeling for Errors of Different Severity Incorporating Change-point Concept 被引量:4
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作者 D.N.Goswami Sunil K.Khatri Reecha Kapur 《International Journal of Automation and computing》 EI 2007年第4期396-405,共10页
Several software reliability growth models (SRGM) have been developed to monitor the reliability growth during the testing phase of software development. In most of the existing research available in the literatures... Several software reliability growth models (SRGM) have been developed to monitor the reliability growth during the testing phase of software development. In most of the existing research available in the literatures, it is considered that a similar testing effort is required on each debugging effort. However, in practice, different types of faults may require different amounts of testing efforts for their detection and removal. Consequently, faults are classified into three categories on the basis of severity: simple, hard and complex. This categorization may be extended to r type of faults on the basis of severity. Although some existing research in the literatures has incorporated this concept that fault removal rate (FRR) is different for different types of faults, they assume that the FRR remains constant during the overall testing period. On the contrary, it has been observed that as testing progresses, FRR changes due to changing testing strategy, skill, environment and personnel resources. In this paper, a general discrete SRGM is proposed for errors of different severity in software systems using the change-point concept. Then, the models are formulated for two particular environments. The models were validated on two real-life data sets. The results show better fit and wider applicability of the proposed models as to different types of failure datasets. 展开更多
关键词 Discrete software reliability growth model non-homogeneous Poisson process fault severity change point probability generating function.
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Bayesian zero-failure reliability modeling and assessment method for multiple numerical control(NC) machine tools 被引量:2
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作者 阚英男 杨兆军 +3 位作者 李国发 何佳龙 王彦鹍 李洪洲 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第11期2858-2866,共9页
A new problem that classical statistical methods are incapable of solving is reliability modeling and assessment when multiple numerical control machine tools(NCMTs) reveal zero failures after a reliability test. Thus... A new problem that classical statistical methods are incapable of solving is reliability modeling and assessment when multiple numerical control machine tools(NCMTs) reveal zero failures after a reliability test. Thus, the zero-failure data form and corresponding Bayesian model are developed to solve the zero-failure problem of NCMTs, for which no previous suitable statistical model has been developed. An expert-judgment process that incorporates prior information is presented to solve the difficulty in obtaining reliable prior distributions of Weibull parameters. The equations for the posterior distribution of the parameter vector and the Markov chain Monte Carlo(MCMC) algorithm are derived to solve the difficulty of calculating high-dimensional integration and to obtain parameter estimators. The proposed method is applied to a real case; a corresponding programming code and trick are developed to implement an MCMC simulation in Win BUGS, and a mean time between failures(MTBF) of 1057.9 h is obtained. Given its ability to combine expert judgment, prior information, and data, the proposed reliability modeling and assessment method under the zero failure of NCMTs is validated. 展开更多
关键词 Weibull distribution reliability modeling BAYES zero failure numerical control(NC) machine tools Markov chain Monte Carlo(MCMC) algorithm
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Grey-based approach for estimating software reliability under nonhomogeneous Poisson process 被引量:2
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作者 LIU Xiaomei XIE Naiming 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第2期360-369,共10页
Due to the randomness and time dependence of the factors affecting software reliability, most software reliability models are treated as stochastic processes, and the non-homogeneous Poisson process(NHPP) is the most ... Due to the randomness and time dependence of the factors affecting software reliability, most software reliability models are treated as stochastic processes, and the non-homogeneous Poisson process(NHPP) is the most used one.However, the failure behavior of software does not follow the NHPP in a statistically rigorous manner, and the pure random method might be not enough to describe the software failure behavior. To solve these problems, this paper proposes a new integrated approach that combines stochastic process and grey system theory to describe the failure behavior of software. A grey NHPP software reliability model is put forward in a discrete form, and a grey-based approach for estimating software reliability under the NHPP is proposed as a nonlinear multi-objective programming problem. Finally, four grey NHPP software reliability models are applied to four real datasets, the dynamic R-square and predictive relative error are calculated. Comparing with the original single NHPP software reliability model, it is found that the modeling using the integrated approach has a higher prediction accuracy of software reliability. Therefore, there is the characteristics of grey uncertain information in the NHPP software reliability models, and exploiting the latent grey uncertain information might lead to more accurate software reliability estimation. 展开更多
关键词 software reliability model stochastic process uncertainty system non-homogeneous Poisson process grey system theory
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Binary Logic State Transition Oriented Formal General Reliability Model 被引量:2
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作者 周一舟 任羿 +2 位作者 刘林林 马政 王自力 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第4期482-488,共7页
There were various conventional modeling techniques with varied semantics for system reliability assessment, such as fault trees(FT), Markov process(MP), and Petri nets. However, it is strenuous to construct and to ma... There were various conventional modeling techniques with varied semantics for system reliability assessment, such as fault trees(FT), Markov process(MP), and Petri nets. However, it is strenuous to construct and to maintain models utilizing these formalisms throughout the life cycle of system under development. This paper proposes a unified formal modeling language to build a general reliability model. The method eliminates the gap between the actual system and reliability model and shows details of the system clearly. Furthermore,the model could be transformed into FT and MP through specific rules defined by a formal language to assess system-level reliability. 展开更多
关键词 reliability formal modeling method fault trees(FT) Markov process(MP) general reliability model(GRM)
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Quantitative Metal Magnetic Memory Reliability Modeling for Welded Joints 被引量:6
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作者 XING Haiyan DANG Yongbin +1 位作者 WANG Ben LENG Jiancheng 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2016年第2期372-377,共6页
Metal magnetic memory(MMM) testing has been widely used to detect welded joints. However, load levels, environmental magnetic field, and measurement noises make the MMM data dispersive and bring difficulty to quanti... Metal magnetic memory(MMM) testing has been widely used to detect welded joints. However, load levels, environmental magnetic field, and measurement noises make the MMM data dispersive and bring difficulty to quantitative evaluation. In order to promote the development of quantitative MMM reliability assessment, a new MMM model is presented for welded joints. Steel Q235 welded specimens are tested along the longitudinal and horizontal lines by TSC-2M-8 instrument in the tensile fatigue experiments. The X-ray testing is carried out synchronously to verify the MMM results. It is found that MMM testing can detect the hidden crack earlier than X-ray testing. Moreover, the MMM gradient vector sum K_(vs) is sensitive to the damage degree, especially at early and hidden damage stages. Considering the dispersion of MMM data, the K_(vs) statistical law is investigated, which shows that K_(vs) obeys Gaussian distribution. So K_(vs) is the suitable MMM parameter to establish reliability model of welded joints. At last, the original quantitative MMM reliability model is first presented based on the improved stress strength interference theory. It is shown that the reliability degree R gradually decreases with the decreasing of the residual life ratio T, and the maximal error between prediction reliability degree R_1 and verification reliability degree R_2 is 9.15%. This presented method provides a novel tool of reliability testing and evaluating in practical engineering for welded joints. 展开更多
关键词 metal magnetic memory quantitative reliability modeling welded joints
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SOFTWARE RELIABILITY MODEL FOR COMPONENT INTERACTION MODE 被引量:2
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作者 Wang Qiang Lu Yang +1 位作者 Xu Zijun Han Jianghong 《Journal of Electronics(China)》 2011年第4期632-642,共11页
With the rapid progress of component technology,the software development methodology of gathering a large number of components for designing complex software systems has matured.But,how to assess the application relia... With the rapid progress of component technology,the software development methodology of gathering a large number of components for designing complex software systems has matured.But,how to assess the application reliability accurately with the information of system architecture and the components reliabilities together has become a knotty problem.In this paper,the defects in formal description of software architecture and the limitations in existed model assumptions are both analyzed.Moreover,a new software reliability model called Component Interaction Mode(CIM) is proposed.With this model,the problem for existed component-based software reliability analysis models that cannot deal with the cases of component interaction with non-failure independent and non-random control transition is resolved.At last,the practice examples are presented to illustrate the effectiveness of this model. 展开更多
关键词 COMPONENT CONNECTOR Software architecture reliability model
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STOCHASTIC OBJECT-ORIENTED PETRI NETS (SOPNS) AND ITS APPLICATION IN MODELING OF MANUFACTURING SYSTEM RELIABILITY 被引量:7
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作者 JiangZhibin HeJunming 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2003年第3期272-276,284,共6页
Object-oriented Petri nets (OPNs) is extended into stochastic object-oriented Petri nets (SOPNs) by associating the OPN of an object with stochastic transitions and introducing stochastic places. The stochastic transi... Object-oriented Petri nets (OPNs) is extended into stochastic object-oriented Petri nets (SOPNs) by associating the OPN of an object with stochastic transitions and introducing stochastic places. The stochastic transition of the SOPNs of a production resources can be used to model its reliability, while the SOPN of a production resource can describe its performance with reliability considered. The SOPN model of a case production system is built to illustrate the relationship between the system's performances and the failures of individual production resources. 展开更多
关键词 Stochastic object-oriented Petri nets Modeling reliability Manufacturing system
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