optimization using genetic algorithm
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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.
1 Commento
Walter Roberson
il 1 Apr 2013
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 ?
Risposte (2)
Matt J
il 20 Giu 2013
Modificato: Matt J
il 20 Giu 2013
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
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