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After several iterations of the branch and bound algorithm applied to an integer program max cx subject to Ax≤ b, (3) EN² we obtain the diagram in Figure 2. Regarding the notations, N = {0, 1, 2,...}, A E R²x2, 6 € R², CE R2, z is the optimal value for each linear relaxation, and (x1, x2) is a corresponding solution. For Problem 2: of the form x₁≤6 z = 9₁ x₁ = 4.6 x ₁₂ = 3.9 2 Z=94 x₁ = 6₁20/₂=1 x2≤3 2 7=92 x₁ = 6.2,%₂2=3 x₁ = 7 z=as x₁ = 7, x₂ = 2.6 20274 z = 93 x ₂₁ = 5₁ x ₂ = 4 Figure 2: Branch and bound each question below, give values of a1, a2, a3, a4, a5 ER so that the diagram will satisfy the stated condition. If there are multiple values possible, then only one is sufficient. 1. (x1, x2)=(5, 4) is a solution to the integer program.

After several iterations of the branch and bound algorithm applied to an integer program max cx subject to Ax≤ b, (3) EN² we obtain the diagram in Figure 2. Regarding the notations, N = {0, 1, 2,...}, A E R²x2, 6 € R², CE R2, z is the optimal value for each linear relaxation, and (x1, x2) is a corresponding solution. For Problem 2: of the form x₁≤6 z = 9₁ x₁ = 4.6 x ₁₂ = 3.9 2 Z=94 x₁ = 6₁20/₂=1 x2≤3 2 7=92 x₁ = 6.2,%₂2=3 x₁ = 7 z=as x₁ = 7, x₂ = 2.6 20274 z = 93 x ₂₁ = 5₁ x ₂ = 4 Figure 2: Branch and bound each question below, give values of a1, a2, a3, a4, a5 ER so that the diagram will satisfy the stated condition. If there are multiple values possible, then only one is sufficient. 1. (x1, x2)=(5, 4) is a solution to the integer program.

Advanced Engineering Mathematics
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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After several iterations of the branch and bound algorithm applied to an integer program max cx subject to Ax≤ b, (3) XEN² we obtain the diagram in Figure 2. Regarding the notations, N := {0, 1, 2,...}, A ɛ R²×², 6 ɛ R², CE R², z is the optimal value for each linear relaxation, and (x₁, x2) is a corresponding solution. For Problem 2: of the form x₁≤6 ал Z= x₁ = 4.6 x ₁₂ = 3.9 Z=94 x₁ = 6₁ x ₂ = 1 2 x₂2 ≤3 Z=9₂ x₁₂₁= 6.2₁%₂2=3 x₁ = 7 21 > z=as x₁ = 7₁ x ₁₂ = 2.6 2 72274 z = 93 x ₁₂ = 5₁ x ₂₁ = 4 Figure 2: Branch and bound each question below, give values of a₁, a2, a3, a4, a5 € R so that the diagram will satisfy the stated condition. If there are multiple values possible, then only one is sufficient. 1. (x1, x2) = (5, 4) is a solution to the integer program. 2. (x₁, x₂) = (6, 1) is a solution to the integer program. 3. (x1, x₂) = (5, 4) could be a solution but (x₁, x2) = (6, 1) is not. In that case, what is the next step of the branch and bound algorithm?
Transcribed Image Text:After several iterations of the branch and bound algorithm applied to an integer program max cx subject to Ax≤ b, (3) XEN² we obtain the diagram in Figure 2. Regarding the notations, N := {0, 1, 2,...}, A ɛ R²×², 6 ɛ R², CE R², z is the optimal value for each linear relaxation, and (x₁, x2) is a corresponding solution. For Problem 2: of the form x₁≤6 ал Z= x₁ = 4.6 x ₁₂ = 3.9 Z=94 x₁ = 6₁ x ₂ = 1 2 x₂2 ≤3 Z=9₂ x₁₂₁= 6.2₁%₂2=3 x₁ = 7 21 > z=as x₁ = 7₁ x ₁₂ = 2.6 2 72274 z = 93 x ₁₂ = 5₁ x ₂₁ = 4 Figure 2: Branch and bound each question below, give values of a₁, a2, a3, a4, a5 € R so that the diagram will satisfy the stated condition. If there are multiple values possible, then only one is sufficient. 1. (x1, x2) = (5, 4) is a solution to the integer program. 2. (x₁, x₂) = (6, 1) is a solution to the integer program. 3. (x1, x₂) = (5, 4) could be a solution but (x₁, x2) = (6, 1) is not. In that case, what is the next step of the branch and bound algorithm?
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