Cross-posted at Operations Research SE
I am developing a model that operates in the realm of mixed integer programming, although I am fairly unfamiliar with this area of mathematics at the moment. I am hoping to get some clarification on whether my idea can function within the contexts of integer programming. I will provide a picture to an article to help clarify my question.
In the formulation below, the chi variable can be either 0 or 1 to indicate if the cell (i,j) received herbicide treatment or not. I will try to frame the question in relation to this equation for the sake of being on the same page.
So... suppose that in addition to herbicide treatment there was an additional type of treatment that can be applied (for the sake of example suppose it's clearing the invasive species by hand). Whether treatment by herbicide or treatment by hand is chosen would be dependent on a number of various factors, but the new problem is such that you need to somehow incorporate the additional treatment measure into the formulation of equation (9). So do you think that the introduction of a second treatment variable (or perhaps some type of logical conditional treatment variable) would be feasible, or can mixed integer programming models only handle one type of control at a time?