True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms
Article
Yang, X., Huyck, C., Karamanoglu, M. and Khan, N. 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. https://doi.org/10.1504/IJBIC.2013.058910
Type | Article |
---|---|
Title | True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms |
Authors | Yang, X., Huyck, C., Karamanoglu, M. and Khan, N. |
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. |
Keywords | algorithm; benchmarks; pressure vessel; global optimality; bio-inspired algorithm; metaheuristic; optimisation |
Publisher | Inderscience |
Journal | International Journal of Bio-Inspired Computation |
ISSN | 1758-0366 |
Electronic | 1758-0374 |
Publication dates | |
01 Dec 2013 | |
Online | 29 Jan 2014 |
Publication process dates | |
Deposited | 19 Apr 2016 |
Accepted | 15 Aug 2013 |
Output status | Published |
Digital Object Identifier (DOI) | https://doi.org/10.1504/IJBIC.2013.058910 |
Web of Science identifier | WOS:000330612500001 |
Language | English |
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