Techniques employed for nonlinear design optimization with discrete variables are studied in the context of a particular problem arising from the design of a gear train. The mathematical model formulation was presented in an earlier article. In this sequel, a solution derivation is described, patterned as a multistage process. After certain reformulation and relaxation, a variety of infeasibility and non-optimality tests are performed, greatly reducing the size of the space containing the global optimum. Methods used to investigate the remaining space do not guarantee a global optimum, but could be replaced by more costly methods that do provide such guarantees. A global infimum is generated, bounding any improvements on the best known solution.
Infeasibility and Non-Optimality Tests for Solution Space Reduction in Discrete Optimal Design
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Pomrehn, L. P., and Papalambros, P. Y. (September 1, 1995). "Infeasibility and Non-Optimality Tests for Solution Space Reduction in Discrete Optimal Design." ASME. J. Mech. Des. September 1995; 117(3): 425–432. https://doi.org/10.1115/1.2826696
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