Structure importance of consecutive-k-out-of-n systems

“…A notable exception is the consecutive-k system for which some break-throughs in comparing component importance have been recently obtained [6,9]. In this paper we provide one more such comparison, but from the other end of the p-spectrum for which no general method is known.…”

Section: Some Concluding Remarksmentioning

confidence: 99%

Rare‐event component importance for the consecutive‐k system

Chang

Hwang

2002

Naval Research Logistics

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Abstract:Various indices of component importance with respect to system reliability have been proposed. The most popular one is the Birnbaum importance. In particular, a special case called uniform Birnbaum importance in which all components have the same reliability p has been widely studied for the consecutive-k system. Since it is not easy to compare uniform Birnbaum importance, the literature has looked into the case p = . In this paper, we look into the case p → 0 to complete the spectrum of examining Birnbaum importance over the whole range of p.

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“…18,19 Chang et al 20 studied BI of Con/ k / n system and generalized the results to the 2-out-of- m -out-of- n line. Lin et al 21 sorted the components of typical reconfigurable systems based on structure importance. Lin and Kuo 22 explored the relationship between reliability allocation and the reliability importance for reconfigurable systems, including Lin/Con/ k / n systems.…”

Section: Introductionmentioning

confidence: 99%

Maintenance optimization of reconfigurable systems based on multi-objective Birnbaum importance

Wang

Cai

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part O:

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Reconfigurable systems can meet the changing requirements of system performance by several approaches, such as adjusting the system structure, improving the component performance, and reassigning components. However, it is also challengeable to find a cost-effective maintenance scheme by integrating these maintenance approaches. This article investigates the multi-objective maintenance optimization problem for reconfigurable systems with the consideration of maintenance cost and system reliability. First, the multi-objective maintenance optimization model is established to maximize the system reliability and minimize the total maintenance cost considering the constraints on budget and system performance. Second, a multi-objective Birnbaum importance is proposed to quantify the contribution of the individual component to the system reliability. The multi-objective Birnbaum importance–based non-dominated sorting genetic algorithm II is developed to obtain the optimal maintenance scheme with the maximum system reliability and minimum maintenance cost. Finally, the performance of multi-objective Birnbaum importance–based non-dominated sorting genetic algorithm II is proved by three numerical experiments. Experiment 1 verifies the advantage of multi-objective Birnbaum importance compared with Birnbaum importance to improve the system reliability in direct maintenance. Experiment 2 shows that the effectiveness of multi-objective Birnbaum importance is much better than that of the Birnbaum importance to enhance the performance of non-dominated sorting genetic algorithm II in comprehensive maintenance. Experiment 3 illustrates that the performance of multi-objective Birnbaum importance–based non-dominated sorting genetic algorithm II is better than that of other multi-objective algorithms combining with multi-objective Birnbaum importance.

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Structure importance of consecutive-k-out-of-n systems

Cited by 23 publications

References 5 publications

Review of recent advances in reliability of consecutive k-out-of-n and related systems

Review of recent advances in reliability of consecutive k-out-of-n and related systems

Rare‐event component importance for the consecutive‐k system

Maintenance optimization of reconfigurable systems based on multi-objective Birnbaum importance

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