How to define a binary decision variable as upper and lower bond in an optimization function?

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Usman Taya
Usman Taya 2021-4-15
评论： Walter Roberson 2021-6-15
Hello experts,
I have an optimization problem that i have to solve using improved particle swarm optimization and i want to define the binary variable (x2) in Matlab as constraint.
x2 = 0 for charge of battery
x2 = 1 for discharge of battery
how can i define it thank you in advance.

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Walter Roberson
Walter Roberson 2021-4-15
编辑：Walter Roberson 2021-4-15
https://www.mathworks.com/help/gads/particle-swarm-optimization-algorithm.html
You cannot use integer constraints with the Mathworks provided particle swarm algorithm. You can force the initial positions to match the constraints but the velocity will always be continuous so the first step will move away from the constraints. There is no hook that you can use to confine the range of motion to integers.
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Walter Roberson
Walter Roberson 2021-6-15
@Lahiru Ransara
As this situation was for the case of user-provided code for doing all of the genetic optimization, instead of using MATLAB Library functions, then it is difficult for us to know what is in the rest of the code.
Also, the velocity might come out to be less than +/- 1/2 in each component, so round() might be returning you to the same position.

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