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Development and applications of metaheuristic algorithms in engineering design and structural optimization / Ali Sadollah

机译:元启发式算法在工程设计和结构优化中的开发和应用/ ali sadollah

摘要

Metaheuristic algorithms have been extensively used in numerous domains especially in engineering. The reason is that for solving complex optimization problems, classical and traditional techniques may not efficiently find global optimum solution.udIn this thesis, the applications of a number of well-known metaheuristic algorithms for solving engineering problems have been considered. In addition, two novel optimization methods are developed and presented which are named the mine blast algorithm (MBA) and the water cycle algorithm (WCA).udThe fundamental concepts and ideas for MBA are derived from the explosion of mine bombs in real world. Accordingly, the ideas and philosophy of WCA are inspired from water cycle process in the nature and how rivers and streams flow to the sea in the real world. The efficiency of the proposed optimizers was evaluated using numerous well-known unconstrained and constrained benchmark functions which have been widely used in literature.udOptimization of several truss structures (2D and 3D) with discrete variables were carried out using the proposed methods and the results and computational performances were compared with several well-known metaheuristic algorithms. The obtained optimization results shows that the proposed new metaheuristic algorithms are capable of offering faster convergence rate in addition to offering better optimal solutions compared to other optimizers. Furthermore, a comparative study was carried out to show the effectiveness of the proposed algorithms over other well-known methods in terms of computational time (speed) and function values.udAs an illustration of statistical optimization results, the MBA and WCA offer minimum weight of 27,532.95 and 29,304.76, respectively, for the complex 200-bar truss in less number of function evaluations (computational time) compared with other optimizers in the literature.
机译:元启发式算法已广泛应用于许多领域,尤其是在工程领域。原因是为了解决复杂的优化问题,传统技术和传统技术可能无法有效地找到全局最优解。 ud在本文中,考虑了许多著名的元启发式算法在解决工程问题中的应用。此外,还开发并提出了两种新颖的优化方法,分别是排雷算法(MBA)和水循环算法(WCA)。 udMBA的基本概念和思想源自现实世界中炸弹的爆炸。因此,WCA的思想和理念受到自然界中水循环过程以及河流和溪流如何流入现实世界的启发。使用众多众所周知的不受约束和受约束的基准函数对建议的优化器的效率进行了评估,这些函数已在文献中广泛使用。 ud使用所提出的方法对具有离散变量的多个桁架结构(2D和3D)进行了优化,其结果计算性能与几种著名的元启发式算法进行了比较。获得的优化结果表明,与其他优化程序相比,所提出的新元启发式算法除提供更好的最佳解决方案外,还能够提供更快的收敛速度。此外,进行了一项比较研究,从计算时间(速度)和函数值的角度证明了所提出的算法相对于其他知名方法的有效性。 ud作为统计优化结果的例证,MBA和WCA提供了最小权重与文献中的其他优化程序相比,对于复杂的200 bar桁架,其功能评估(计算时间)更少,分别具有27,532.95和29,304.76的性能。

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    Ali Sadollah;

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  • 年度 2013
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