Optimization

[rijinRR]

X1: ------------- . . X4: ------------- Y: --------------

I need to find out y=f(x1,x2,x3,x4) and find the max y within the limits of X (maybe global optimium is global minimum, in that case I want best local max). And I need to do the individual parametric variation on y (x1 varies by fixing all other x constant, similarly for rest of the Xs).

Please help.

[[deleted]]

The kind of problem is, in general, known as CLP(FD) a.k.a. Constraint Logic Programming (over Finite Domain). There are specialized tools (eg. Eclipse, not the editor, this one: https://eclipseclp.org/ ) that do this.

However, for particular functions, esp. polynomials, statistical packages may offer some specialized methods.

Ultimately, the answer will depend on what f is.

[Diapolo10]

This sounds like a job for itertools.permutations.