The constraint X₁ - X₂ = 0 with 0 -1 integer programming allows for either both X₁ and X₂ to be selected to be a part of the optimal solution, or for neither to be selected.

Question

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When the constraint X₁ - X₂ = 0 is included in the 0-1 integer programming model, it means that the difference between the binary variables X₁ and X₂ must be zero. This can only happen when both variables are either both 0 or both 1. Therefore, both variables can be included in the optimal solution or both can be excluded, but they cannot have different values.

The Constraint X1 - X2 = 0 with 0 -1

The Constraint X₁ - X₂ = 0 with 0 -1