How can i use binary variables for if else condition in problem based MILP optimization problem

Hi,

I have sent query before about inlcuding conditional statement in objective function, i understand that it is not possible.(https://www.mathworks.com/matlabcentral/answers/1436322-battery-storage-optimisation-problem_charge-and-discharge-conditional-constraint-nested-function_jn)

i have two costs to include in objective function depending on the sign of power (whether positive or not),

i have checked the example https://www.mathworks.com/help/optim/ug/optimal-dispatch-problem-based.html,, but i am confused how i can use yhe binary variable to indicate the two dfferent cost to use in objective function.

Please advice

[Alan Weiss]

See my answer to the same question in https://www.mathworks.com/matlabcentral/answers/693740-linear-programming-with-conditional-constraints

Alan Weiss

MATLAB mathematical toolbox documentation