Multiple simultaneous discrete optimization problems

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Konstantinos Belivanis 2015-8-16

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https://ww2.mathworks.cn/matlabcentral/answers/234053-multiple-simultaneous-discrete-optimization-problems

回答： Konstantinos Belivanis 2015-8-19

采纳的回答： Konstantinos Belivanis

Dear all,

my question is based off of this example:

http://www.mathworks.com/help/gads/solving-a-mixed-integer-engineering-design-problem-using-the-genetic-algorithm.html

but with the following change.

In the example we had to optimize the volume of one beam for the given P, L, σmax, δmax.

What I would like to do is to optimize the volume (same x(i)s - i=1:10) for three different beams having different P, L, σmax, δmax.

Then I would like a report showing the smallest volume if I have to use only one, two, three, etc. beams.

Do you think it's doable?

Thanks

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Konstantinos Belivanis 2015-8-18

A loop doesn't seem to work well with functions. The reason is that:

1. The number of variables is a function of the number of beams I want to use.

2. I can't have variables in a function (or at least I don't know how).

Again to explain what I would like to do:

What I would like to do is to optimize the volume (same x(i)s - i=1:10) for three different beams having different P, L, σmax, δmax.

And I would like to get the best result if I were to have one beam that was satisfying the three of them (waste of material but maybe fabrication costs would go down) or two beams or three beams.

James Wiken 2015-8-18

A loop should work fine with functions. I understand the number of variables changes based on the number of beams you are optimizing for. You can write functions that can take a varying number of inputs to handle this. To accomplish this, reference the documentation links for 'varargin' and 'nargin' below:

http://www.mathworks.com/help/matlab/ref/varargin.html

http://www.mathworks.com/help/matlab/ref/nargin.html

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