Introduction to Integer Programming (original) (raw)

1992, The Kluwer International Series in Engineering and Computer Science

Introduction to Integer Programming Integer programming models Handouts: Lecture Notes 2 A 2-Variable Integer program maximize 3x + 4y subject to 5x + 8y ≤ 24 x, y ≥ 0 and integer What is the optimal solution? The Feasible Region 0 1 2 3 4 5 Solve LP (ignore integrality) get x=24/5, y=0 and z =14 2/5. Round, get x=5, y=0, infeasible! Truncate, get x=4, y=0, and z =12 Same solution value at x=0, y=3. Optimal is x=3, y=1, and z =13 4 Why integer programs? Advantages of restricting variables to take on integer values-More realistic-More flexibility 7 The game of fiver. Click on a circle, and flip its color and that of adjacent colors. Can you make all of the circles red? 8 The game of fiver.