Hybrid and enhanced PSO: Novel first order reliability method-based hybrid intelligent approaches

Zhu, Shun‐Peng; Keshtegar, Behrooz; Seghier, Mohamed El Amine Ben; Zio, Enrico; Taylan, Osman

doi:10.1016/j.cma.2022.114730

Cited by 82 publications

(39 citation statements)

References 62 publications

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“…Hagen and Tvedt (1992) developed a method for calculating the outcrossing rate of a parallel system. The PHI2 method is presented by Andrieu-Renaud et al (2004), which calculated the outcrossing rates by the first-order reliability method (FORM), and the calculation of time-varying reliability is simplified (Zhu et al, 2022). The geometry explanation for solving outcrossing rates based on the first order second moment (FOSM) as shown in Figure 3.…”

Section: Outcrossing Ratementioning

confidence: 99%

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Structural dynamic reliability analysis: review and prospects

Teng

Feng

Chen

et al. 2022

IJSI

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PurposeThe purpose of this paper is to briefly summarize and review the theories and methods of complex structures’ dynamic reliability. Complex structures are usually assembled from multiple components and subjected to time-varying loads of aerodynamic, structural, thermal and other physical fields; its reliability analysis is of great significance to ensure the safe operation of large-scale equipment such as aviation and machinery.Design/methodology/approachIn this paper for the single-objective dynamic reliability analysis of complex structures, the calculation can be categorized into Monte Carlo (MC), outcrossing rate, envelope functions and extreme value methods. The series-parallel and expansion methods, multi-extremum surrogate models and decomposed-coordinated surrogate models are summarized for the multiobjective dynamic reliability analysis of complex structures.FindingsThe numerical complex compound function and turbine blisk are used as examples to illustrate the performance of single-objective and multiobjective dynamic reliability analysis methods. Then the future development direction of dynamic reliability analysis of complex structures is prospected.Originality/valueThe paper provides a useful reference for further theoretical research and engineering application.

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Section: Outcrossing Ratementioning

confidence: 99%

“…The PHI2 method is presented by Andrieu-Renaud et al. (2004), which calculated the outcrossing rates by the first-order reliability method (FORM), and the calculation of time-varying reliability is simplified (Zhu et al. , 2022).…”

Section: Dynamic Reliability Analysis Of Single-objective Structurementioning

confidence: 99%

Structural dynamic reliability analysis: review and prospects

Teng

Feng

Chen

et al. 2022

IJSI

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“…Particle swarm optimization (PSO) is a popular metaheuristic optimization algorithm [28][29][30][31][32][33][34], which is often used to solve NP-hard problems. PSO is first proposed by Kennedy and Eberhart [35], which simulates the bird flock searching for food.…”

Section: Particle Swarm Optimizationmentioning

confidence: 99%

A collaborative neurodynamic optimization algorithm to traveling salesman problem

Zhong

Feng

Tang

et al. 2022

Complex Intell. Syst.

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This paper proposed a collaborative neurodynamic optimization (CNO) method to solve traveling salesman problem (TSP). First, we construct a Hopfield neural network (HNN) with $$n \times n$$ n × n neurons for the n cities. Second, to ensure the convergence of continuous HNN (CHNN), we reformulate TSP to satisfy the convergence condition of CHNN and solve TSP by CHNN. Finally, a population of CHNNs is used to search for local optimal solutions of TSP and the globally optimal solution is obtained using particle swarm optimization. Experimental results show the effectiveness of the CNO approach for solving TSP.

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“…It reduces the calculation difficulty of design under uncertainty [18,19]. As one of the basic methods based on the moment method, the first order second moment (FOSM) is effective, but not accurate [20,21]. Therefore, it is necessary to use higher-order moments to improve the calculation accuracy.…”

Section: Introductionmentioning

confidence: 99%

An Uncertainty Analysis and Reliability-Based Multidisciplinary Design Optimization Method Using Fourth-Moment Saddlepoint Approximation

Guo¹,

Lv²

2023

Computer Modeling in Engineering &Amp; Sciences

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In uncertainty analysis and reliability-based multidisciplinary design and optimization (RBMDO) of engineering structures, the saddlepoint approximation (SA) method can be utilized to enhance the accuracy and efficiency of reliability evaluation. However, the random variables involved in SA should be easy to handle. Additionally, the corresponding saddlepoint equation should not be complicated. Both of them limit the application of SA for engineering problems. The moment method can construct an approximate cumulative distribution function of the performance function based on the first few statistical moments. However, the traditional moment matching method is not very accurate generally. In order to take advantage of the SA method and the moment matching method to enhance the efficiency of design and optimization, a fourth-moment saddlepoint approximation (FMSA) method is introduced into RBMDO. In FMSA, the approximate cumulative generating functions are constructed based on the first four moments of the limit state function. The probability density function and cumulative distribution function are estimated based on this approximate cumulative generating function. Furthermore, the FMSA method is introduced and combined into RBMDO within the framework of sequence optimization and reliability assessment, which is based on the performance measure approach strategy. Two engineering examples are introduced to verify the effectiveness of proposed method.

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Hybrid and enhanced PSO: Novel first order reliability method-based hybrid intelligent approaches

Cited by 82 publications

References 62 publications

Structural dynamic reliability analysis: review and prospects

Structural dynamic reliability analysis: review and prospects

A collaborative neurodynamic optimization algorithm to traveling salesman problem

An Uncertainty Analysis and Reliability-Based Multidisciplinary Design Optimization Method Using Fourth-Moment Saddlepoint Approximation

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