Which solver would you recommend for multi(6) objective and multi(6) variable optimization with or without the toolbox. Is it even possible to put boundaries on these variables without optimization functions/toolbox?

ConstStr

N7 = 3.135E+00*N1*N2,

N8 = 4.100E-01*N2*N6,

N9 = 1.381E+01*N1*N4,

N10 = 7.610E+01*N2^2*N3,

N11 = 1.720E+05*N2*N3^2*N5^3,

N12 = 4.034E+04*N3*N5^2,

N13 = 2.615E+04*N2*N3^2*N5^2,

N14 = 3.826E+44*N1*N3*N5^2, //N14 = 3.826E+04*N1*N3*N5^2,

N15 = 1.458E+03*N2*N3*N5,

N16 = 2.435E+04*N1*N3^2*N5,

N17 = 1.186E+08*N3^2*N5^3,

N18 = 7.511E+02*N3*N5,

N19 = 6.874E+02*N3*N5;

Function

N1+N2+N3+N4+N5+N6+N7+N8+N9+N10+N11+N12+N13+N14+N15+N16+N17+N18+N19 = 1;

0.1962*(N2+N7+N8+2*N10+N11+N13+N15)-0.6575*(N1+N7+N9+N14+N16) = 0;

0.0557*(N3+N10+2*N11+N12+2*N13+N14+N15+2*N16+2*N17+N18+N19)-0.4698*(N4+N9) = 0;

0.0099*(N5+3*N11+2*N12+2*N13+2*N14+N15+N16+3*N17+N18+N19)-0.3525*(N6+N8) = 0;

0.0557*(N1+N7+N9+N14+N16)-0.1962*(N4+N9) = 0;

0.0099*(N2+N7+N8+2*N10+N11+N13+N15)-0.6575*(N6+N8) = 0;

Optimization

0< N1, N2, N3, N4, N5, N6 <1

Answer 1

[Shashank Gupta]

Hey Tasnim,

These equation seems non linear in nature, probably using solve function to optimise would make sense. Do setup the optimisation problem properly and check out the solve function. you will find hard time dealing such problem using fminsearch and fmincon functions, So I would not recommend this functions.

I hope this gives you a good headstart.

Cheers.