Minimize variables and objective function with constraints in fmincon

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Martin Levy 2020-11-2

I'm trying to minimize the function

fun = @(t)abs(Volume-(t(1)*Volprhour(1)+t(2)*Volprhour(2)+t(3)*Volprhour(3));

It is a total volume processed by three filters, where the necessary time on each filter should be determined t(1), t(2), t(3).

Contraints of the times are

t(1)>=t(2)>=t(3)

Running the function with fmincon, is working, but I would like to minimize t(1), which is not currently working.

I tried minimizing t(1), by changing the setup of the function to

fun = @(t)abs((Volume-t(2)*Volprhour(2)-t(3)*Volprhour(3))/Volprhour(1));

so it minimizes t(1), but then the constraints are not satisfied.

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