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# linear optimization using optimization toolbox and minimize array sum

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MUKESH KUMAR on 31 Jul 2019
Commented: MUKESH KUMAR on 31 Jul 2019
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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MUKESH KUMAR on 31 Jul 2019
Want vector V, for D+V-Th so the PD should be minimum

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### Answers (2)

Torsten on 31 Jul 2019
https://math.stackexchange.com/questions/113270/the-median-minimizes-the-sum-of-absolute-deviations-the-l-1-norm
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Bruno Luong on 31 Jul 2019
Edited: Bruno Luong on 31 Jul 2019
Diff= abs(D-TH);
Now I want to minimize the sum of "Diff"
Threshold = median(D)
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MUKESH KUMAR on 31 Jul 2019
Bcoz that constraint is by my misunderstanding and that is not a case in my original case
Thanks

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