True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms
by Xin-She Yang; Christian Huyck; Mehmet Karamanoglu; Nawaz Khan
International Journal of Bio-Inspired Computation (IJBIC), Vol. 5, No. 6, 2013

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.

Online publication date: Mon, 31-Mar-2014

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