A two-phase differential evolution for uniform designs in constrained experimental domains

Date

2017-02-17

Advisors

Journal Title

Journal ISSN

ISSN

Volume Title

Publisher

IEEE Press

Type

Article

Peer reviewed

Yes

Abstract

In many real-world engineering applications, a uniform design needs to be conducted in a constrained experimental domain that includes linear/nonlinear and inequality/equality constraints. In general, these constraints make the constrained experimental domain small and irregular in the decision space. Therefore, it is difficult for current methods to produce a predefined number of samples and make the samples distribute uniformly in the constrained experimental domain. This paper presents a two-phase differential evolution for uniform designs in constrained experimental domains. In the first phase, considering the constraint violation as the fitness function, a clustering differential evolution is proposed to guide the population toward the constrained experimental domain from different directions promptly. As a result, a predefined number of samples can be obtained in the constrained experimental domain. In the second phase, maximizing the minimum Euclidean distance among samples is treated as another fitness function. By optimizing this fitness function, the samples produced in the first phase can be scattered uniformly in the constrained experimental domain. The performance of the proposed method has been tested and compared with another state-of-the-art method. Experimental results suggest that our method is significantly better than the compared method in the uniform designs of a new type of automotive crash box and five benchmark test problems. Moreover, the proposed method could be considered as a general and promising framework for other uniform designs in constrained experimental domains.

Description

open access article

Keywords

Uniform design, A new type of automotive crash box, Constrained experimental domain, Differential evolution

Citation

Y. Wang, B. Xu, G. Sun, and S. Yang. A two-phase differential evolution for uniform designs in constrained experimental domains. IEEE Transactions on Evolutionary Computation, 21 (5), pp. 665-680

Rights

Research Institute

Institute of Artificial Intelligence (IAI)