Solve the following ILP problem, a knapsack problem, using the branch-and-bound algorithm, and stating an "upper bound" and a "lower bound" at each node of your branch-and-bound process. Marimize z = subject to: 10z1 + 20r2 +30r3 521 + 6x2 + 7a3 < 15 1, a2, a3 € {0, 1}

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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Solve the following ILP problem, a knapsack problem, using the branch-and-bound algorithm, and stating
an "upper bound" and a "lower bound" at each node of your branch-and-bound process.
Marimize z = 10a1 + 2022 + 30r3
subject to:
5x1 + 6x2 + 7a3 < 15
*1, 2, 23 € {0, 1}
Transcribed Image Text:Solve the following ILP problem, a knapsack problem, using the branch-and-bound algorithm, and stating an "upper bound" and a "lower bound" at each node of your branch-and-bound process. Marimize z = 10a1 + 2022 + 30r3 subject to: 5x1 + 6x2 + 7a3 < 15 *1, 2, 23 € {0, 1}
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