Fuzzy universal generating functions for multi-state system reliability assessment

Ding, Yi; Lisnianski, Anatoly

doi:10.1016/j.fss.2007.06.004

Cited by 155 publications

(111 citation statements)

References 31 publications

(40 reference statements)

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“…Based on the property of z L -transform [28] and the general fuzzy composition operator Ω  φ [12], we can find the fuzzy z L -transform of the discrete-state discrete-time fuzzy stochastic process  ( ) G k , which is a fuzzy single-valued function of n independent discretestate discrete-time fuzzy Markov chains  ( )…”

Section: Fuzzy Dynamic Availability Assessment For Dtrmssmentioning

confidence: 99%

“…More recently, fuzzy reliability research has focused on reliability/availability evaluation of fuzzy multi-state system according to various analysis methods. Ding and Lisnianski [12] firstly provided the basic definition of the fuzzy multi-state system model, and then investigated the system reliability based on the proposed fuzzy universal generating function technique. The concepts of relevancy, coherency, equivalence, and performance evaluation algorithms for the fuzzy multi-state systems were given by Ding, Zuo, Lisnianski and Tian [13].…”

Section: Introductionmentioning

confidence: 99%

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Fuzzy Availability Assessment for Discrete Time Multi-State System under Minor Failures and Repairs by Using Fuzzy Lz-transform.

Zhang

et al. 2017

EiN

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Article citation info:on a continuous scale. In such situations, the lifetimes and repair times can be expressed in terms of the number of working and repairing periods (cycles), respectively. Thus, it is essential to construct discrete time reliability models for repairable multi-state systems.The discrete time reliability has drawn continuous attention in both model analysis and problem solution. Bracquemond and Gaudoin [5] presented a good overview of discrete probability distributions used in reliability for modeling discrete lifetimes of non-repairable systems. The discrete time reliability modeling for general binary systems can be found in [4,22,34]. Eryilmaz [14], Guerry [16] and Sadek and Limnios [35], presented the discrete time reliability models for Markov multi-state systems. The discrete time reliability models for semi-Markov multi-state systems were investigated in [1,4,10]. However, most of the reported works mainly focus on the issues of IntroductionThe availability, as a performance measure, is one of the most important indicators for characterizing a repairable system and its components. For repairable multi-state systems with various performance levels, the availability is more meaningful than reliability to measure the effectiveness of the system to satisfy consumer demand.In the past few years, a variety of methods are available in the literature for analyzing the availability of repairable multi-state systems. Some of them are Monte Carlo simulation [41,42], stochastic Petri nets [19,21], universal generating function [24,32], Markov models [6,37] and the combinations of the above methods [9]. However, conventional availability analysis methods for repairable multi-state systems are based on the continuous time models. In some engineering circumstances, it is sometimes impossible or inconvenient to measure the lifetimes and repair times length of some systems (components) HU L, SU P, PENG R, ZHANG Z. Fuzzy Availability Assessment for Discrete Time Multi-State System under Minor Failures and Repairs by Using Fuzzy L z -transform. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2017; 19 (2): 179-190 discrete time systems with the exact reliability data. As stated in Garg [15], the complicated system has the massive fuzzy uncertainty due to which it is difficult to get the exact probability of the events. Thus, it is of large practical value to investigate the availability assessment for discrete time repairable system with fuzzy uncertainty. fuzzy discrete time Markov model with fuzzy transition probability matrix is proposed to analyze the fuzzy state probability of each component at any discrete time. The fuzzy L z -transform of the discrete-state discrete-time fuzzy Markov chain is developed to extend the L z -transform of the discrete-state continuous-time Markov model with crisp sets. Based on the α-cut approach and the fuzzy L z -transform, the dynamic fuzzy availability of the system is computed by using parametric programming technique. To illustrate the proposed method,...

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Section: Fuzzy Dynamic Availability Assessment For Dtrmssmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fuzzy Availability Assessment for Discrete Time Multi-State System under Minor Failures and Repairs by Using Fuzzy Lz-transform.

Zhang

et al. 2017

EiN

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“…A novel algorithm based on this technology had been developed for the reliability evaluation of an acyclic multi-state-node network system in [39]. It has also been extended in various fields such as the applications of fuzzy set theory, reliability redundancy optimal problem, maintenance decision-making etc resorting to its straightforward properties [10,26,28,21]. The MSS performance distribution can be determined by the using of UGF method.…”

Section: Science and Technologymentioning

confidence: 99%

A combined method for reliability analysis of multi-state system of minor-repairable components

Qin

Niu

Liu

2016

EiN

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“…The UGF technique is proved to be very convenient for numerical realization and requires small computational resources [9][10][11] for performance and reliability evaluation of engineering systems [9]. Therefore, the UGF technique is used to evaluate the expected energy production of the PV system.…”

Section: Reliability Models For Solar Panel Arraysmentioning

confidence: 99%

“…The UGF technique provides a systematic method for the performance and reliability assessment of MSS, which can replace extremely complicated combinational algorithms and reduce the computational burden [9][10][11]. Moreover, the UGF technique provides a flexible approach for representing reliability models of various energy systems.…”

Section: Introductionmentioning

confidence: 99%

- Feasibility of Grid-Connected Solar Pv Energy System: A Case Study in Nigeria

Adaramola¹

2014

Solar Energy

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Solar energy plays an important role in the global energy framework for future. Comparing with conventional generation systems using fossil fuels, the cost structure of photovoltaic (PV) systems is different: the capital cost is higher while the operation cost is negligible. Reliabilities of the PV system can also influence the cost for producing electricity. Investors, planners and regulators require deep insight into the return and cost of a PV project. A reliability based economical assessment of largescale PV systems has been conducted utilizing Universal Generating Function (UGF) techniques. The reliability models of solar panel arrays, PV inverters and energy production units (EPUs) are represented as the corresponding UGFs. The expected energy production models for different PV system configurations have also been developed. The expected unit cost of electricity has been calculated to provide informative metrics for making optimal decisions. The proposed method has been applied to determine the PV system configuration which provides electricity for a water purification process.

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Fuzzy universal generating functions for multi-state system reliability assessment

Cited by 155 publications

References 31 publications

Fuzzy Availability Assessment for Discrete Time Multi-State System under Minor Failures and Repairs by Using Fuzzy Lz-transform.

Fuzzy Availability Assessment for Discrete Time Multi-State System under Minor Failures and Repairs by Using Fuzzy Lz-transform.

A combined method for reliability analysis of multi-state system of minor-repairable components

- Feasibility of Grid-Connected Solar Pv Energy System: A Case Study in Nigeria

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