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Optimal design of truss structures with frequency constraints using improved differential evolution algorithm based on an adaptive mutation scheme
Abstract The paper presents an improved differential evolution (IDE) and its application for solving shape and size optimization problems of truss structures with frequency constraints. The improvements are made in mutation and selection phases but mainly focused on the mutation phase. In the mutation phase of the IDE, a new selection scheme is proposed by using multi-mutation operators that adaptively employ all four popular mutation operators, including “rand/1,” “rand/2,” “best/1,” and “best/2” for selecting target vectors in population. This new scheme helps maintain effectively the balance between the global exploration and local exploitation abilities for searching process of the DE. In the selection phase of the IDE, an elitist selection technique that helps save good individuals for the next generation is suggested to replace traditional selection technique of the original DE. The suggested technique can help increase the convergence rate of the IDE. The efficiency and robustness of the IDE are demonstrated through five benchmark problems. Numerical results show that in most of the cases considered, the optimum design obtained by the IDE and DE are nearly the same and they are better than those gained by some other well-known methods in the literature. However, the IDE is much better than the DE in terms of the computational cost.
Highlights An improved differential evolution (IDE) algorithm is proposed. The IDE is proposed for optimal design of truss structures with frequency constraints. In IDE, a new adaptive mutation scheme is proposed for the mutation phase. In IDE, an elitist selection technique is suggested for the selection phase. Balancing between the global and local abilities is maintained effectively.
Optimal design of truss structures with frequency constraints using improved differential evolution algorithm based on an adaptive mutation scheme
Abstract The paper presents an improved differential evolution (IDE) and its application for solving shape and size optimization problems of truss structures with frequency constraints. The improvements are made in mutation and selection phases but mainly focused on the mutation phase. In the mutation phase of the IDE, a new selection scheme is proposed by using multi-mutation operators that adaptively employ all four popular mutation operators, including “rand/1,” “rand/2,” “best/1,” and “best/2” for selecting target vectors in population. This new scheme helps maintain effectively the balance between the global exploration and local exploitation abilities for searching process of the DE. In the selection phase of the IDE, an elitist selection technique that helps save good individuals for the next generation is suggested to replace traditional selection technique of the original DE. The suggested technique can help increase the convergence rate of the IDE. The efficiency and robustness of the IDE are demonstrated through five benchmark problems. Numerical results show that in most of the cases considered, the optimum design obtained by the IDE and DE are nearly the same and they are better than those gained by some other well-known methods in the literature. However, the IDE is much better than the DE in terms of the computational cost.
Highlights An improved differential evolution (IDE) algorithm is proposed. The IDE is proposed for optimal design of truss structures with frequency constraints. In IDE, a new adaptive mutation scheme is proposed for the mutation phase. In IDE, an elitist selection technique is suggested for the selection phase. Balancing between the global and local abilities is maintained effectively.
Optimal design of truss structures with frequency constraints using improved differential evolution algorithm based on an adaptive mutation scheme
Ho-Huu, V. (author) / Vo-Duy, T. (author) / Luu-Van, T. (author) / Le-Anh, L. (author) / Nguyen-Thoi, T. (author)
Automation in Construction ; 68 ; 81-94
2016-05-01
14 pages
Article (Journal)
Electronic Resource
English
| British Library Online Contents | 2016
| British Library Online Contents | 2016
Optimal Truss Sizing Using an Adaptive Differential Evolution Algorithm
| Online Contents | 2015
Optimal Truss Sizing Using an Adaptive Differential Evolution Algorithm
| Online Contents | 2016