12 lines
572 B
Markdown
12 lines
572 B
Markdown
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Often given a problem, the best fitting solution is non-trivial, you need to carefully adjust many parameters to find it.
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## Multi-Objective Optimization
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([[Context articles descriptions#Optimization method of composite laminates with a viscoelastic layer|source]])
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$$f(X) = \sum_{i=1}^L \omega_i f_i(X) \tag{1}$$
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$$\sum_{i=1}^L \omega_i = 1, \omega_i \ge 0 (i=1,2,\dots,L)\tag{2}$$
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Each function should be dimensionless (different dimensions can make weighing really hard). Most common technique :
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$$f_i(X)=\frac{F_i(X)}{\min\limits_{x \in \Omega} F_i(X)} \tag{3}$$
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