optimization using genetic algorithm

function z=min_fucn(t) z=5500*600*12+34.38*t(37)+45.83*t(61)+162*t(1)*23+30.38*t(49)+40.50*t(73)+1200*t(13)+300*t(121)+200*t(133)+34.38*t(38)+45.83*t(73)+1200*t(13)+300*t(121)+200*t(133)+34.38*t(38)+45.83*t(62)+162*t(2)*22+30.38*t(50)+40.50*t(74)+1200*t(14)+300*t(122)+200*t(134)+34.38*t(39)+45.83*t(63)+162*t(3)*25+30.38*t(51)+40.50*t(75)+1200*t(15)+300*t(123)+200*t(135)+34.38*t(40)+45.83*t(64)+162*t(4)*20+30.38*t(52)+40.5.*t(76)+1200*t(16)+300*t(124)+200*t(136)+34.38*t(41)+45.83*t(65)+162*t(5)*21+30.38*t(53)+40.50*t(77)+1200*t(17)+300*t(125)+200*t(137)+34.38*t(42)+45.83*t(66)+162*t(6)*24+30.38*t(54)+40.50*t(78)+1200*t(18)+300*t(126)+200*t(138)+34.38*t(43)+45.83*t(67)+162*t(7)*17+30.38*t(55)+40.50*t(79)+1200*t(19)+300*t(127)+200*t(139)+34.38*t(44)+45.83*t(68)+162*t(8)*16+30.38*t(56)+40.50*t(80)+1200*t(20)+300*t(128)+200*t(140)+34.38*t(45)+45.83*t(69)+162*t(9)*18+30.38*t(57)+40.5.*t(81)+1200*t(21)+300*t(129)+200*t(141)+34.38*t(46)+45.83*t(70)+162*t(10)*21+30.38*t(58)+40.50*t(82)+1200*t(22)+300*t(130)+200*t(142)+34.38*t(47)+45.83*t(71)+162*t(11)*22+30.38*t(59)+40.50*t(83)+1200*t(23)+300*t(131)+200*t(143)+34.38*t(48)+45.83*t(72)+162*t(12)*17+30.38*t(60)+40.50*t(84)+1200*t(24)+300*t(132)+200*t(144);

the above equation is my objective function.

in this problem , i have both linear equality and inequality and nonlinear constraint. and the decision variables are non-negative and integer. but in GA toolbox, when there are integer constraint, GA does not accept linear or nonlinear equality constraint. it accepts only inequality constraint.

how can i solve this problem in GA toolbox.

[Walter Roberson]

Please read the guide to tags and retag this question. http://www.mathworks.co.uk/matlabcentral/answers/43073-a-guide-to-tags

You do realize that your function is completely unreadable? Have you considered adding some whitespace? The same constants appear to be repeated a number of times: have you considered giving names to those constants and using them in the formula? Have you considered documenting justification for why the 45.83 should not be (for example) 45.82794 ?

Answer 1

[Walter Roberson]

(A == B) can be expressed as ((A <= B) & (-A <= -B))

Answer 2

[Matt J]

but in GA toolbox, when there are integer constraint, GA does not accept linear or nonlinear equality constraint. it accepts only inequality constraint.

The equality constraints would have to have a very particular structure to be satisfied by integer-valued variables within TolCon precision. You would have to be sure in advance that the manifold the constraints define contains an integer-valued point exactly. That probably means that the coefficients of the equalities would have to be integers as well, e.g., like this

 x+y+z=10

In cases like this, you should probably eliminate some variables so that the constraints are not needed. In this example, that could be done by replacing z in the fitness function by

 z=10-x-y