Keywords and phrases: system reliability, linear consecutive k-out-of-n:F system, Birnbaum importance based genetic algorithm (BIGA), genetic algorithm (GA).
Received: September 8, 2022; Accepted: October 22, 2022; Published: November 2, 2022
How to cite this article: Özge Elmastaş Gültekin and Şefika Büşra Mert, Comparison of the reliability of a linear consecutive 2-out-of-4:F system with Birnbaum importance based genetic algorithm and permutation genetic algorithms, Advances and Applications in Statistics 82 (2022), 43-52. http://dx.doi.org/10.17654/0972361722079
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] D. W. Coit and J. Liu, System reliability optimization with k-out-of-n subsystems, International Journal of Reliability 7(2) (2000), 129-142. [2] V. Kaya, N’den k çıkışlı Tamir Edilemez Sistemlerin Güvenilirliği Üzerine, Yüksek Lisans Tezi, Sosyal Bilimler Enstitüsü, 2015, pp. 1-74. [3] J. Shen, L. Cui and S. Du, Birnbaum importance for linear consecutive-k-out-of-n systems with sparse d, IEEE Transactions on Reliability 64(1) (2015), 359-375. [4] Q. Yao, X. Zhu and W. Kuo, Heuristics for component assignment problems based on the Birnbaum importance, IIE Transactions 2011(43) (2011), 633-646. [5] G. Gökdere and Y. Güral, Birnbaum önem tabanlı genetik algoritma ve doğrusal ardışık n-den k-çıkışlı sistemlerin optimizasyonunda uygulaması, BEÜ Fen Bilimleri Dergisi 7(2) (2018), 276-283. [6] N. Wang, J. Zhao, Z. Jiang and S. Zhang, Reliability optimization of systems with component improvement cost based on importance measure, Mechanical Engineering 10(11) (2018), 1-15. [7] S. Si, Z. Cai, S. Sun and C. Li, Optimization of linear consecutive-k-out-of-n system with a Birnbaum importance-based genetic algorithm, Reliability Engineering and System Safety 152 (2016), 248-258. [8] E. N. Zaitseva and V. G. Levashenko, Importance analysis by logical differential calculus, Autom. Remote Control 74(2) (2013), 171-182. [9] S. Si, M. Liu, Z. Jiang, T. Jin and Z. Cai, System reliability allocation and optimization based on generalized Birnbaum importance measure, IEEE Transactions on Reliability 68(3) (2019), 831-843. [10] S. Si, J. Zhao, Z. Cai and H. Dui, Recent advances in system reliability optimization driven by importance measures, Frontiers of Engineering Management 7(3) (2020), 335-358. [11] Z. Birnbaum, On the importance of different components in a multicomponent system, Multivariate Analysis, P. Krishnaiah, ed., New York, Academic Press, 1969, pp. 581-592. [12] Ç. Taşkın and G. G. Emel, Sayısal Yöntemlerde Genetik Algoritmalar, Alfa Aktüel Yayınları, 1, Bursa, 2009, 153 pp. [13] C. Derman, G. J. Lieberman and S. M. Ross, On optimal assembly of system, Naval Research Logistics 19 (1972), 569-574.
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