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Original scientific paper
https://doi.org/10.17559/TV-20160502062504

The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index

Zhaoping Tang ; School of Information Engineering, East China Jiao Tong University, No. 808 Shuanggang East Avenue, Nanchang Jiangxi, 330013, China
Jin Qin ; School of Railway, Central South University, No. 68 Shaoshan South Road, Changsha Hunan, 410075, China
Jianping Sun ; School of Railway Transportation, East China Jiao Tong University, No. 808 Shuanggang East Avenue, Nanchang Jiangxi, 330013, China
Biao Geng ; School of Railway Transportation, East China Jiao Tong University, No. 808 Shuanggang East Avenue, Nanchang Jiangxi, 330013, China

Fulltext: english, pdf (741 KB) pages 53-62 downloads: 216* cite
APA 6th Edition
Tang, Z., Qin, J., Sun, J. & Geng, B. (2017). The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index. Tehnički vjesnik, 24 (1), 53-62. https://doi.org/10.17559/TV-20160502062504
MLA 8th Edition
Tang, Zhaoping, et al. "The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index." Tehnički vjesnik, vol. 24, no. 1, 2017, pp. 53-62. https://doi.org/10.17559/TV-20160502062504. Accessed 28 Feb. 2020.
Chicago 17th Edition
Tang, Zhaoping, Jin Qin, Jianping Sun and Biao Geng. "The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index." Tehnički vjesnik 24, no. 1 (2017): 53-62. https://doi.org/10.17559/TV-20160502062504
Harvard
Tang, Z., et al. (2017). 'The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index', Tehnički vjesnik, 24(1), pp. 53-62. https://doi.org/10.17559/TV-20160502062504
Vancouver
Tang Z, Qin J, Sun J, Geng B. The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index. Tehnički vjesnik [Internet]. 2017 [cited 2020 February 28];24(1):53-62. https://doi.org/10.17559/TV-20160502062504
IEEE
Z. Tang, J. Qin, J. Sun and B. Geng, "The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index", Tehnički vjesnik, vol.24, no. 1, pp. 53-62, 2017. [Online]. https://doi.org/10.17559/TV-20160502062504
Fulltext: croatian, pdf (741 KB) pages 53-62 downloads: 442* cite
APA 6th Edition
Tang, Z., Qin, J., Sun, J. & Geng, B. (2017). Algoritam gradijenta projekcije s prilagodljivom mutacijom duljine koraka za indeks nevjerojatnosne pouzdanosti. Tehnički vjesnik, 24 (1), 53-62. https://doi.org/10.17559/TV-20160502062504
MLA 8th Edition
Tang, Zhaoping, et al. "Algoritam gradijenta projekcije s prilagodljivom mutacijom duljine koraka za indeks nevjerojatnosne pouzdanosti." Tehnički vjesnik, vol. 24, no. 1, 2017, pp. 53-62. https://doi.org/10.17559/TV-20160502062504. Accessed 28 Feb. 2020.
Chicago 17th Edition
Tang, Zhaoping, Jin Qin, Jianping Sun and Biao Geng. "Algoritam gradijenta projekcije s prilagodljivom mutacijom duljine koraka za indeks nevjerojatnosne pouzdanosti." Tehnički vjesnik 24, no. 1 (2017): 53-62. https://doi.org/10.17559/TV-20160502062504
Harvard
Tang, Z., et al. (2017). 'Algoritam gradijenta projekcije s prilagodljivom mutacijom duljine koraka za indeks nevjerojatnosne pouzdanosti', Tehnički vjesnik, 24(1), pp. 53-62. https://doi.org/10.17559/TV-20160502062504
Vancouver
Tang Z, Qin J, Sun J, Geng B. Algoritam gradijenta projekcije s prilagodljivom mutacijom duljine koraka za indeks nevjerojatnosne pouzdanosti. Tehnički vjesnik [Internet]. 2017 [cited 2020 February 28];24(1):53-62. https://doi.org/10.17559/TV-20160502062504
IEEE
Z. Tang, J. Qin, J. Sun and B. Geng, "Algoritam gradijenta projekcije s prilagodljivom mutacijom duljine koraka za indeks nevjerojatnosne pouzdanosti", Tehnički vjesnik, vol.24, no. 1, pp. 53-62, 2017. [Online]. https://doi.org/10.17559/TV-20160502062504

Abstracts
Aiming at the problems of selection parameter step-size and premature convergence that occurred when searching the local area in the optimal design of adaptive gradient projection algorithm in this paper, adaptive variable step-size mechanism strategy and adaptive variable step-size mechanism were established. They were introduced into the gradient projection algorithm, and were used to control iteration step length. Through the examples of non-probabilistic reliability index, it can be showed that the method could quickly and accurately calculate the reliability index when the model had multiple variables and complex limit state function. To compare and contrast this algorithm with the simple gradient projection algorithm, this algorithm is not sensitive to the initial point position. And it not only takes into account both local performance and global search ability, but also has fast convergence speed and high precision. So it is an efficient and practical optimization algorithm.

Keywords
adaptive; gradient projection algorithm; mutation step length; non-probabilistic reliability

Hrčak ID: 174700

URI
https://hrcak.srce.hr/174700

[croatian]

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