# How optimize multiple responses of dataset ?

4 views (last 30 days)
A. Berg on 9 Jul 2021
Answered: Alan Weiss on 9 Jul 2021
Hi.
I have an application which I have a dataset (> 1,000) with the following variables: velocity(m/min), production(kg), scrap(kg) and consumption(kWh).
I'd like to use Matlab to optimize multiple responses. The independent variable is velocity (X1) and the others are response variables. I need to know which velocity delivers: max production (Y1), min scrap (Y2) and min consumption (Y3).
In the table below some data to exemplify the database:
Velocity Production Scrap Consumption
X1 Y1 Y2 Y3
1760 1934 237 1960
1760 1934 0 1728
1760 1944 0 1739
1760 1932 0 1732
1760 1951 0 1734
1760 1928 287 2024
1760 1967 128 1876
1760 1949 0 1730
1760 1938 0 1727
1761 1938 0 1877
1761 1925 155 1877
1760 1923 0 1751
1760 1900 0 1723
1765 1922 0 1723
1765 1910 219 1963
1765 1954 162 1899
1770 1944 0 1728
1770 1942 0 1727
1770 1931 33 1749
1770 1922 0 1707
1770 1923 0 1698
1770 1906 0 1697
1770 1918 0 1715
1770 1920 0 1709
1769 1920 0 1710
1770 1926 0 1702
...
I would like to know how I can implement this in Matlab if anyone can help me I appreciate it.
Regards,
A.Berg

Alan Weiss on 9 Jul 2021
I think that you probably want to fit a function to the data, where the function represents the response. Obviously your data does not have a simple representation because the same value of velocity appears many times, and there are multiple different responses for the same input value.
So I think that you need to come up with a functional form of the response variables, and then fit that functional form to the data. For an example of fitting, see Nonlinear Data-Fitting.
Once you have done that, you can minimize a scalar function of the response variables. For example, you might want to minimize 5*scrap + 10*consumption - production. You can minimize this function using, say, fminbnd. Or if you simply want to optimize the responses separately, make multiple minimization prooblems.
Good luck,
Alan Weiss
MATLAB mathematical toolbox documentation

R2019a

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by