Optimization of a Water Tank: Convex Form of the GPThe GP described here for the optimization of the shape of a water tank is ![]() Let us define the new variables: ![]() The objective function is transformed into ![]() Taking logarithms, the new objective function is ![]() where The constraints all involve monomials, so they will translate into linear or affine constraints. For example, the aspect ratio constraint on ![]() is equivalent to ![]() which, after taking logarithms, becomes the affine constraint: ![]() Thus, the original GP takes the standard convex form: ![]() |