(Answered) : 2. (points: 3) Suppose that a mathematical model fits linear programming except for the restrictions that 1. At least one of the f

2. (points: 3) Suppose that a mathematical model fits linear programming except for the restrictions that 1. At least one of the following two inequalities holds: 2. At least two of the following three inequalities holds: 3×1 – r2 +3r3 – 4 60 Show how to reformulate these restrictions to fit an MIP model

Expert Answer

(1)

Define two binary integers Y1 and Y2 and then modify the constraints as –

3×1 – x2 – x3 + x4 – M1.Y1 <= 12 x1 + x2 + x3 + x4 - M2.Y2 <= 15 Y1 + Y2 <= 1 M1, M2 are two large numbers (2) Define

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