linear optimization using optimization toolbox and minimize array sum

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MUKESH KUMAR
MUKESH KUMAR 2019-7-31
评论： MUKESH KUMAR 2019-7-31
I had dataset of load for 7 days, 1min time interval and I want to put a threshold value. Now claculate a difference D=(load-Threshold) and this D array should be positive by taking modulus and then a array values 'V' with corresponding to the each load data to minimize the sum of array D all data. How to minimize the sum of all elements of D and find the array values of 'V'.
For example:
a = 30;
b = 150;
D = (b-a).*rand(100,1) + a; % load data
Th=110; % threshold
Diff= abs(D-TH);
Now I want to minimize the sum of "Diff" and find a corresponding vector V(100*1) vector for all values.
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Torsten
Torsten 2019-7-31
If you are given D and Th, then PD=abs(D-Th) is given. Then also the sum of PD is given. How do you want to minimize the sum of PD if it is already given ?

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回答（2 个）

Torsten
Torsten 2019-7-31
https://math.stackexchange.com/questions/113270/the-median-minimizes-the-sum-of-absolute-deviations-the-l-1-norm
Bruno Luong
Bruno Luong 2019-7-31
编辑：Bruno Luong 2019-7-31
Diff= abs(D-TH);
Now I want to minimize the sum of "Diff"
Threshold = median(D)
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Bruno Luong
Bruno Luong 2019-7-31
Why do you neglect something that you want to achieve????
Wonder if you really know what you want.
MUKESH KUMAR
MUKESH KUMAR 2019-7-31
编辑：MUKESH KUMAR 2019-7-31
Bcoz that constraint is by my misunderstanding and that is not a case in my original case
Thanks

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