optimization with two-part value range
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Dear MATLAB users and MathWorks support team,
I cannot find a solution to represent an optimization problem in MATLAB in which variables in the objective function can take on a two-part value range. The variable in the objective function should correspond to the thermal output of a heat pump in a central heating system. The variable should be able to assume the values 0 (heat pump off) and all values between 100 and 400 (heat pump on with an output between 100 and 400 kW).
x ∈ {0} ∪ [100, 400]
Do you know of a way to implement this condition? I would very much appreciate an answer or the opportunity to discuss this in more detail.
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Accepted Answer
Stephan
on 11 Jun 2024
You could try to define 2 variables x1 and x2 as the solution. x1 is an integer that assumes either 0 or 1 and x2 corresponds to the interval of the output of your heat pump. The actual output is the product of x1 and x2. This should solve your problem.
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