Multi-objective optimal design of obstacle-avoiding two-dimensional Steiner trees with application to ascent assembly engineering.

Zavoianu, Alexandru-Ciprian; Saminger-Platz, Susanne; Entner, Doris; Prante, Thorsten; Hellwig, Michael; Schwarz, Martin; Fink, Klara

Abstract

We present an effective optimization strategy that is capable of discovering high-quality cost-optimal solution for two-dimensional (2D) path network layouts (i.e., groups of obstacle-avoiding Euclidean Steiner trees) that, among other applications, can serve as templates for complete ascent assembly structures (CAA-structures). The main innovative aspect of our approach is that our aim is not restricted to simply synthesizing optimal assembly designs with regard to a given goal, but we also strive to discover the best trade-offs between geometric and domain-dependent optimal designs. As such, the proposed approach is centred on a variably constrained multi-objective formulation of the optimal design task and on an efficient co-evolutionary solver. The results we obtained on both artificial problems and realistic design scenarios based on an industrial test case empirically support the value of our contribution to the fields of optimal obstacle-avoiding path generation in particular and design automation in general.

Citation

ZAVOIANU, A.-C., SAMINGER-PLATZ, S., ENTNER, D., PRANTE, T., HELLWIG, M., SCHWARZ, M. and FINK, K. 2018. Multi-objective optimal design of obstacle-avoiding two-dimensional Steiner trees with application to ascent assembly engineering. Journal of mechanical design [online], 140(6), article number 061401. Available from: https://doi.org/10.1115/1.4039009

• Journal Article Type: Article
• Acceptance Date: Jan 8, 2018
• Online Publication Date: Mar 26, 2018
• Publication Date: Jun 30, 2018
• Deposit Date: Feb 19, 2021
• Publicly Available Date: Mar 8, 2021
• Journal: Journal of mechanical design
• Print ISSN: 1050-0472
• Electronic ISSN: 1528-9001
• Publisher: American Society of Mechanical Engineers (ASME)
• Peer Reviewed: Peer Reviewed
• Volume: 140
• Issue: 6
• Article Number: 061401
• DOI: https://doi.org/10.1115/1.4039009
• Keywords: Approximation-based design; Computational geometry; Computer-aided engineering; Conceptual design; Decomposition-based design optimization; Design automation; Design optimization; Multiobjective optimization; Robust design; Optimization
• Public URL: https://rgu-repository.worktribe.com/output/1187726