Use of a biobjective direct search algorithm in the process design of material science applications
This work describes the application of a direct search method to the optimization of problems of real industrial interest, namely three new material science applications designed with the FactSage software. The search method is BiMADS, the biobjective version of the mesh adaptive direct search (MADS) algorithm, designed for blackbox optimization. We give a general description of the algorithm, and, for each of the three test cases, we describe the optimization problem, discuss the algorithmic choices, and give numerical results to demonstrate the efficiency of BiMADS.
KeywordsBlackbox optimization Derivative-free optimization Biobjective optimization Mesh adaptive direct search Material science Alloy design Process design
Mathematics Subject Classification90C56 62P30
The authors thank Christopher Hutchinson and Chad Sinclair for their approach to the steel-design problem, which allowed us to test BiMADS on this complex application. The work of the first, fifth, and sixth authors was supported by a Grant from the Natural Sciences and Engineering Research Council of Canada (NSERC) via the Magnesium Strategic Research Network. The last author was supported by NSERC Grant 418250 and by AFOSR FA9550-12-1-0198.
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