define the binary variable in Matlab

Hello experts,

I have an optimization problem that i have to solve and i want to define the binary variable in Matlab as constraint.

how can i define it thank you in advance.

Answer 1

[Walter Roberson]

The MATLAB family is not completely lacking in binary variables, but only in the form of GF2 (Galois Field) ... or things you could convince the symbolic engine to do if you were stubborn enough.

What it has for use with optimizers is variables that are constrained to be integers and for which you set lower bound 0 and upper bound 1. These can only be used in a few optimizers.

For linear programming see https://www.mathworks.com/help/optim/linear-programming-and-mixed-integer-linear-programming.html

Otherwise see

https://www.mathworks.com/help/gads/mixed-integer-optimization.html

https://www.mathworks.com/matlabcentral/answers/398890-instead-of-ga-what-else-can-i-use-to-solve-nonlinear-optimization-problem-with-integer-constraints

There is no way to create such a variable for the continuous optimizers such as fmincon()