True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms
Yang, Xin-She 
ORCID: https://orcid.org/0000-0001-8231-5556, Huyck, Christian R. ORCID: https://orcid.org/0000-0003-4015-3549, Karamanoglu, Mehmet ORCID: https://orcid.org/0000-0002-5049-2993 and Khan, Nawaz
(2013)
True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms.
International Journal of Bio-Inspired Computation, 5
(6)
.
pp. 329-335.
ISSN 1758-0366
[Article]
(doi:10.1504/IJBIC.2013.058910)
Abstract
The pressure vessel design problem is a well-known design benchmark for validating bio-inspired optimisation algorithms. However, its global optimality is not clear and there has been no mathematical proof put forward. In this paper, a detailed mathematical analysis of this problem is provided that proves that 6,059.714335048436 is the global minimum. The Lagrange multiplier method is also used as an alternative proof and this method is extended to find the global optimum of a cantilever beam design problem.
| Item Type: | Article |
|---|---|
| Research Areas: | A. > School of Science and Technology > Design Engineering and Mathematics |
| Item ID: | 19354 |
| Useful Links: | |
| Depositing User: | Xin-She Yang |
| Date Deposited: | 19 Apr 2016 10:36 |
| Last Modified: | 10 Jun 2019 13:07 |
| URI: | https://eprints.mdx.ac.uk/id/eprint/19354 |
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