Another evolution of generalized differential evolution: variable number of dimensions. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Marek, Martin; Kadlec, Petr
• Is Part Of: Engineering optimization. Volume 54:Issue 1(2022)
• Page Start: 61
• Page End: 80
• Publication Date: 2022-01-02
• Subjects: Multi-objective optimization -- evolutionary optimization -- variable number of dimensions -- generalized differential evolution; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2020.1853714
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : The article proposes a multi-objective optimization method called Generalized Differential Evolution (GDE3) for a Variable Number of Dimensions (VND). The well-known generalized differential evolution is adapted to handle problems where the number of decision space variables is not a priori known. The performance of the method is assessed on a set of benchmark problems based on standard multi-objective test cases modified to depend on the number of decision space variables. Experimental results include a study of the setting of controlling parameters and a comparison with the state-of-the-art Variable-Length GDE3 (VLGDE3) algorithm. Finally, the novel approach is compared to the standard approach in a linear antenna array design problem.