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Branch-and-Bound Technique for Solving Integer Programs

Branch-and-Bound Technique for Solving Integer Programs. In this handout Basic concepts Introducing the technique based on an example. Basic Concepts. The basic concept underlying the branch-and-bound technique is to divide and conquer .

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Branch-and-Bound Technique for Solving Integer Programs

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Example of Branch-and-Bound

6. Example of Branch-and-Bound. x 1 + x 2 = 6. 5. Max Z = 5x 1 + 8x 2 s.t. x 1 + x 2 ? 6 5x 1 + 9x 2 ? 45 x 1 , x 2 ? 0 integer. 4. (2.25, 3.75). 3. Z=41.25. 2. 5x 1 + 9x 2 = 45. 1. Z=20. 0. 7. 8. 1. 2. 3. 4. 5. 6. Branching step.

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