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I'm new to optimization problems. I want to find optimum values for my objective function. You can imagine my function as E = f(t1, t2, t3). I want to minimize E and following constraints limit the variables:
1- 0 < t1, t2, t3 < 255
2- t1, t2, and t3 be less as possible
3- being zero for one of this parameters is more important than overall values be low. for example (80, 150, 0) is better than (140, 50, 20) because first set of parameters have zero. Note that nature of E almost reacts as mentioned. However, I want to limit parameters as mentioned if it is possible.

Is there algorithm for such problems? I read optimization in this linear programming example of Matlab but I can't find constraints mentioned in 2 and 3. Any help using Matlab or Python 3.X will be appreciated.

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