Solve the instance max 17x1 + 10x2 + 25x3 + 17x4 5x1 + 3x₂ + 8x3 + 7x4 ≤ 12 x = {0, 1}4 by branch-and-bound. Always branch first on the node with the best bound. You must number the nodes as you explore them. Name

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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the first node as "Root". Create a table with one row for each node.
At each row, indicate the value of the variables in the solution of
the node, the capacity used, the profit of the solution (or indicate
its infeasibility) and the status associated with the node (branched,
pruned by infeasibility, pruned by integrality or pruned by quality).
Transcribed Image Text:the first node as "Root". Create a table with one row for each node. At each row, indicate the value of the variables in the solution of the node, the capacity used, the profit of the solution (or indicate its infeasibility) and the status associated with the node (branched, pruned by infeasibility, pruned by integrality or pruned by quality).
(b) Solve the instance
max 17x1 + 10x2 + 25x3 + 17x4
5x1 + 3x2 + 8x3 + 7x4 ≤ 12
x = {0, 1}4
by branch-and-bound. Always branch first on the node with the best
bound. You must number the nodes as you explore them. Name
Transcribed Image Text:(b) Solve the instance max 17x1 + 10x2 + 25x3 + 17x4 5x1 + 3x2 + 8x3 + 7x4 ≤ 12 x = {0, 1}4 by branch-and-bound. Always branch first on the node with the best bound. You must number the nodes as you explore them. Name
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