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From: Paul Miggiels on 10 Mar 2010 12:41
Hi,

I'm a beginner with MatLab and I have to solve a rather tricky problem.
I have created 6 functions, which all depend on 5 variables, of which for two I have found a relation, so actually there are 4. But those 4 variables do have boundaries.

The boundaries given are:
Lc : 0.25 < Lc < 0.30
Ro: Ro < 0.05
Ri: Ri = 0.577*Ro
Dc: no boundaries

What I am looking for is the ultimate combination of these variables, within the boundaries specified. However, besides the boundaries of the variables, there are other restrictionst:
REax < 2000
REtan < 108
atan(tanA): 0 < atan(tanA) < 0.5pi
Om^2*Lc*(Ro^3-Ri^3)/Dc = 803,1595

The .m-files with the functions can be found at: http://www.paulmiggiels.com/files/m-files.rar

Like I said, I'm only just working with Matlab and I have no idea what way to go to solve this.

Thanks in advance.
From: James Allison on 10 Mar 2010 15:48
Sounds like a constrained optimization problem (finding an 'ultimate'
solution, subject to equality and inequality constraints). If the
functions are smooth and continuous then you can use gradient-based
algorithms, such as those employed by fmincon in the optimization toolbox:

http://www.mathworks.com/products/optimization/

If the functions are not smooth you can try some of the algorithms in
the global optimization toolbox (formerly known as GADS):

http://www.mathworks.com/products/global-optimization/

If you need help in using these functions beyond reading the
documentation you can contact technical support (www.mathworks.com ->
support -> contact support).

-James

Paul Miggiels wrote:
> Hi,
>
> I'm a beginner with MatLab and I have to solve a rather tricky problem.
> I have created 6 functions, which all depend on 5 variables, of which
> for two I have found a relation, so actually there are 4. But those 4
> variables do have boundaries.
>
> The boundaries given are:
> Lc : 0.25 < Lc < 0.30
> Ro: Ro < 0.05
> Ri: Ri = 0.577*Ro
> Dc: no boundaries
>
> What I am looking for is the ultimate combination of these variables,
> within the boundaries specified. However, besides the boundaries of the
> variables, there are other restrictionst:
> REax < 2000
> REtan < 108
> atan(tanA): 0 < atan(tanA) < 0.5pi
> Om^2*Lc*(Ro^3-Ri^3)/Dc = 803,1595
>
> The .m-files with the functions can be found at:
> http://www.paulmiggiels.com/files/m-files.rar
>
> Like I said, I'm only just working with Matlab and I have no idea what
> way to go to solve this.
>
> Thanks in advance.
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