Reliability evaluation of consecutive <i>k</i>-out-of-<i>m</i>: F balanced systems with a symmetry line

Chen, Fang; Cui, Lirong

doi:10.1177/1748006x211038112

Cited by 5 publications

(6 citation statements)

References 20 publications

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“…Its related research is increasingly concerned in the field of reliability. [16][17][18][19] Hua and Elsayed [20][21][22] first study reliability analysis of the k-out-of-n pairs: G balanced system, proposing methods for reliability estimation, degradation analysis, and the Monte Carlo simulation-based reliability approximation, respectively. On this basis, Endharta et al 23 use the minimum path sets to study a circular k-out-of-n: G balanced system.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, the balanced system has been widely used in military weapons, aerospace, and many other fields. Its related research is increasingly concerned in the field of reliability 16–19 . Hua and Elsayed 20–22 first study reliability analysis of the k‐out‐of‐n pairs: G balanced system, proposing methods for reliability estimation, degradation analysis, and the Monte Carlo simulation‐based reliability approximation, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Optimal mission abort policy for a balanced system with a restricted mechanism

Dong

2023

Quality & Reliability Eng

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The balanced system often performs key missions in many fields, such as aerospace, new energy storage, and the military. However, the failure of the system can cause major losses. Therefore, the mission needs to be aborted when the risk of system failure is higher. In this paper, the optimal mission abort policy for a k‐out‐of‐n: F balanced system is studied. The system with a restricted mechanism consists of m sectors and there are n components in each sector, in which the components fail due to two situations: internal failure or external shocks. If the number of working components in m sectors is the same, the system is balanced. If one component fails, the system will force down or resume a component with a probability to keep balance. The model of the mentioned system is established, and the Markov process imbedding approach is used for deriving the reliability indices. Two optimization models are established according to two competitive abort criteria. Finally, an unmanned aerial vehicle performing a mission is discussed to illustrate the proposed mission abort policy.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal mission abort policy for a balanced system with a restricted mechanism

Dong

2023

Quality & Reliability Eng

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“…(2) reliability assessment methods based on probability statistics, such as the LaPlace method, 35 universal generating function (UGF) method, 17 Bayes method, 36 and so on, 30,37 where the UGF method has great advantages in deriving the reliability of performance-sharing systems. 31 However, there is currently no research on the reliability assessment method of balanced systems with epistemic uncertainty, two-level architecture, and distance-dependent transmission loss.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability assessment of two‐level balanced systems with common bus performance sharing subjected to epistemic uncertainty

Tian

Yang

Wang

2023

Quality & Reliability Eng

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Two‐level balanced systems with common bus performance sharing (TLBS‐CBPS), represented by power battery systems, play an important role in various industries. Where the two‐level balance refers to when the system is unbalanced, redistributing performance between modules using a common bus for the intermodule balance, followed by the in‐module component performance redistribution to achieve global balance, that is, the performance differences among all components are within the balance degree threshold. However, the component performance has epistemic uncertainty due to measurement limitations, and the distance‐dependent transmission loss incurs during the performance redistribution. These problems make the reliability evaluation of TLBS‐CBPS challenging. To address these issues, a reliability evaluation method for TLBS‐CBPS is proposed by considering two‐level balance, epistemic uncertainty, and transmission loss. First, the system model is constructed from working modes, and the two‐level rebalancing process is described as three nonlinear programming problems. Then, based on the Dempster–Shafer evidence theory, the belief universal generating function (BUGF) method is proposed to evaluate the uncertainty of the system reliability. To improve the computation efficiency, a simplified BUGF algorithm is given through merging, judging, labeling, and expanding realizations. Finally, two examples of lithium‐ion battery packs demonstrate the effectiveness of the proposed method.

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“…The current research on balanced systems is mainly divided into two categories. The first category can be explained as the forced shutdown or restoration of the unit to rebalance the system when the unit failure causes the system balance to be disrupted, such as the port system [5], the drum input belt system [6], and multi-stage unmanned aerial system [7] and so on. Wang et al [7] used a Markov process imbedding approach to analyze the reliability of balanced systems with restricted rebalanced mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Reliability evaluation of balanced systems with common bus performance sharing considering balance degree base on battery storage systems

Tian

Yang²

2022

J. Phys.: Conf. Ser.

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To solve the problem of inconsistency of batteries, many people have studied the the battery system with the automatic balancing mechanism which can be regarded as a balanced system. In this paper, a reliability evaluation model for balanced systems with common bus performance sharing considering the degree of balance is proposed. The balance degree of the system is represented by the difference in performance between the components. If the performance difference between components exceeds the balance degree threshold, the system is unbalanced and performance sharing is required to redistribute performance through a common bus. This paper also takes into account transfer capacity limits. When the output performance exceeds the maximum transmission capacity, the performance transmission is performed according to the maximum limit to achieve the best balance. The criterion for system failure is that the balance is still out of balance after performance sharing or the total system performance is lower than the specified requirements. Firstly, by solving the Markov equation, the steady-state probability of component performance levels under the long-term operation of the system is obtained, and then the reliability of the system is evaluated by UGF (Universal generating function) method. Finally, a numerical example is carried out to illustrate the effectiveness of the method.

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Reliability evaluation of consecutive k-out-of-m: F balanced systems with a symmetry line

Cited by 5 publications

References 20 publications

Optimal mission abort policy for a balanced system with a restricted mechanism

Optimal mission abort policy for a balanced system with a restricted mechanism

Reliability assessment of two‐level balanced systems with common bus performance sharing subjected to epistemic uncertainty

Reliability evaluation of balanced systems with common bus performance sharing considering balance degree base on battery storage systems

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